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Mechanical Engineering and Mechanics

Professors. D. Gary Harlow, Ph.D. (Cornell), chair; Philip A. Blythe, Ph.D. (Manchester, England); John P. Coulter, Ph.D. (Delaware); John N. DuPont, Ph.D. (Lehigh); Patrick V. Farrell, Ph.D. (University of Michigan); Joachim L. Grenestedt, Ph.D. (KTH, Royal Inst. of Tech., Stockholm, Sweden), Class of ‘61 Professor; Jacob Y. Kazakia, Ph.D. (Lehigh); Edward K. Levy, Sc.D. (M.I.T.), Director, Energy Research Center; Alistair K. Macpherson, Ph.D. (Sydney, Australia); Wojciech Misiolek, Sc.D. (University of Mining and Metallurgy, Krakow, Poland), Loewy Chair; Sudhakar Neti, Ph.D. (Kentucky); Herman F. Nied, Ph.D. (Lehigh); John Ochs, Ph.D. (Penn State); Tulga M. Ozsoy, Ph.D. (Istanbul, Turkey); Donald O. Rockwell, Ph.D. (Lehigh), Paul B. Reinhold Professor; Eric Varley, Ph.D. (Brown); Arkady Voloshin, Ph.D. (Tel-Aviv, Israel).

Associate Professors. Robert A. Lucas, Ph.D. (Lehigh), associate chair; Meng-Sang Chew, Ph.D. (Columbia); Alparslan Öztekin, Ph.D. (Illinois); N. Duke Perreira, Ph.D. (California, Los Angeles); Eugenio Schuster, Ph.D. (California, San Diego); Edmund Webb, III, Ph.D. (Rutgers University).

Assistant Professors. Yaling Liu, Ph.D. (Northwestern); Nader Motee, Ph.D. (University of Pennsylvania); Xiaohui (Frank) Zhang, Ph.D. (University of Miami).

Professors of Practice. David C. Angstadt, Ph.D. (Lehigh);Terry J. Hart, D. Engr.- Honorary (Lehigh); Murat Öztürk, Ph.D. (Lehigh)

Emeritus Professors. Russell E. Benner, Ph.D. (Lehigh); Forbes T. Brown, Sc.D. (M.I.T.); Terry J. Delph, Ph.D. (Stanford); Fazil Erdogan, Ph.D. (Lehigh), G. Whitney Snyder Professor; Ronald J. Hartranft, Ph.D. (Lehigh); Stanley H. Johnson, Ph.D. (Berkeley),; Arturs Kalnins, Ph.D. (Michigan); Jerzy A. Owczarek, Ph.D. (London, England); Richard Roberts, Ph.D. (Lehigh); Robert G. Sarubbi, Ph.D. (Lehigh); Kenneth N. Sawyers, Ph.D. (Brown); George C.M. Sih, Ph.D. (Lehigh); Charles R. Smith, Ph.D. (Stanford); Gerald F. Smith, Ph.D. (Brown); Theodore A. Terry, Ph.D. (Lehigh); Dean P. Updike, Ph.D. (Brown); Robert P. Wei, Ph.D. (Princeton), Paul B. Reinhold Professor.

Educational Mission

The Department of Mechanical Engineering and Mechanics prepares our students to be learners, and agents in both the application and development of technology to better serve the needs of society.

Program Educational Objectives

Mechanical engineering is one of the core disciplines in the P.C. Rossin College of Engineering and Applied Science (RCEAS). The department is committed to serving the overall mission of the RCEAS, and of the University, by providing education and training to undergraduate and graduate students, by developing new knowledge and engineering methodology, and by providing service to industry and society at large. To achieve our Educational Mission, the Department of Mechanical Engineering has established a set of Program Educational Objectives (PEOs), which are to educate engineers who:

1. Apply fundamental engineering principles for product design and mechanical systems.

2. Use basic sciences and mathematics for solving mechanical engineering problems.

3. Design components and systems and validate their applicability with computational and experimental techniques.

4. Communicate effectively and are able to participate in multidisciplinary teams.

5. Understand and exercise their professional and ethical responsibilities in an ever-changing world.

6. Nurture a desire for continuous learning, professional development, and leadership.

The undergraduate program in mechanical engineering is configured to prepare our students for employment, and continued professional development and growth. The above PEOs are targets for students 3-5 years after graduation. The program provides students with the basic education they will need to function in an engineering environment, pursue graduate studies, continue their professional development and growth, and develop an awareness of the culture and society in which we live. Because of technological innovations and the long term demands of global competition, the program also seeks to prepare students to adapt to rapid advances and changes in technology, and to provide leadership in effecting these changes.

Achievement of the student outcomes is served first through a sound education in mathematics and those physical and engineering sciences that are of greatest relevance to the design and analysis of mechanical systems; second, by exposure to the engineering process (creation, innovation, analysis and judgment) through design courses, projects, laboratories, and a choice of technical electives that permits a degree of specialization; and third, by the development of cultural awareness through courses in humanities and social sciences. Students may take elective courses that transcend traditional disciplinary lines, while satisfying the basic requirements for mechanical engineering.

Design and engineering practices are integrated with the engineering science aspects of the program including projects requiring teamwork. Through a broadening of the design sequence to include hands-on manufacturing and multidisciplinary collaborations, the program seeks to emphasize the integration of design, manufacturing, business, and aesthetics in modern technological enterprises, and to prepare our students to function in an increasingly interdisciplinary environment. Through a comprehensive set of laboratory courses, which ultimately focus on the design and planning of laboratory experiences by the students (rather than carrying out rote experiments), opportunities are provided for students to learn and employ the processes and skills for solving hands-on engineering problems.

B.S. in Mechanical Engineering

Mechanical engineering is one of the broadest of the engineering professions, dealing generally with systems for energy conversion, material transport and the control of motions and forces.

Mechanical engineers may choose from among many different activities in their careers, according to their interests and the changing needs of society. Some concentrate on the conversion of thermal, nuclear, solar, chemical and electrical energy, or on the problems of air, water, and noise pollution. Some concentrate on the design of mechanical systems used in transportation, manufacturing or health care industries or by individual consumers. Some will be working, a decade from now, in fields that do not yet exist. Most will be engaged with concepts involving all four dimensions of space and time.

The curriculum leading toward the bachelor of science in mechanical engineering combines a broad base in mathematics, physical sciences, and the engineering sciences (mechanics of solids, materials, dynamics and fluid, thermal and electrical sciences), including laboratory. Special emphasis is placed on the practice of modern Integrated Product Development, combining state-of-the-art computer aided design and manufacturing methods in a business oriented framework. Several specific application fields are chosen toward the end of the program in the form of four or more courses elected from a wide variety of 300-level offerings. Courses in mechanical engineering and engineering mechanics are equally available.

The course requirements for a B.S. degree in mechanical engineering are listed below. In addition to required mathematics, physics, chemistry and basic engineering courses, the program includes a minimum of seven courses in humanities and social sciences (see humanities/social sciences), two free electives and five approved electives. The total graduation requirement is 129 credits.

Undergraduate Curriculum in Mechanical Engineering

freshman year (see Engineering, freshman year, Section III)

sophomore year, first semester (16-17 credit hours)

sophomore year, second semester (17-18 credit hours)*

*Co-op students must take ME 21 sophomore year, second semester (18-19 credit hours). Co-op students will take a MATH elective (3), ME 231 (3), MECH 102(3), and a HSS elective (3-4) during the summer after the sophomore year (12-13 credit hrs.). See Co-op program for details

junior year, first semester (16-18 credit hours)

junior year, second semester (17 credit hours)

Senior Year (30-34 credit hours)

The total number of credits required for graduation is 129. A total of 38 credits in electives must be taken. These electives are of five types:

Mechanical Engineering Electives

1. Humanities/Social Sciences: A total of 17 credits of electives in humanities and social science, which must include ECO 1. (Note that these electives are in addition to the 6 hours of required freshman English.) See description of HSS in Section III of this catalog.

2. ENGR. Elective A: One, 3credit course selected from the following: MECH 302, MECH 305, ME 304, ME 322, ME 331, or ME 343

3. ENGR. Elective B: One, 3credit course selected from any ME 300 or MECH 300-level course, excluding ME 310

4. ENGR. Elective C: Three, 3credit courses selected from any ME 300/MECH 300-level course or an engineering/science/ mathematics course, as approved by the department chair. ME 310 may be taken once to satisfy this requirement.

5. Free electives: 6 credit hours in any subject area are required.

Co-Op Program

To participate in the Co-op program you must rank in the top third of the engineering class after three semesters of study and attend a summer program between the sophomore and junior years. See your advisor or contact the Co-op Faculty Liaison for further details.

B.S. in Engineering Mechanics

The curriculum in engineering mechanics is designed to prepare students for careers in engineering research and development, and is especially appropriate for students wishing to specialize in the analysis of engineering systems. In many industries and governmental laboratories there is a demand for men and women with broad training in the fundamentals of engineering in which engineering mechanics and applied mathematics play an important role.

The first two years of the curriculum is the same as that in mechanical engineering. One of the advantages of the curriculum is the flexibility it offers through 18 credits of technical and six credits of personal electives in the junior and senior years. Beyond the sophomore year there are required courses in dynamics, solid mechanics, fluid mechanics, heat transfer, principles of electrical engineering, mathematics, vibrations, and senior laboratories or projects. It is recommended that the electives be chosen either to concentrate in areas such as applied mathematics and computational mechanics, solid mechanics, engineering materials, and fluid mechanics or to obtain further depth in all areas. The academic advisor for the engineering mechanics program will provide guidance in formulating the student’s goals and choosing electives.

In addition to the required and elective courses in mathematics, sciences and engineering, the B.S. degree program in engineering mechanics includes a minimum of seven courses in humanities and social sciences (see humanities/social sciences). The total graduation requirement is 127 credits.

Undergraduate Curriculum in Engineering Mechanics

freshman year (see Engineering, freshman year, Section III)

sophomore year, first semester (16-17 credit hours)

sophomore year, second semester (17-18 credit hours)*

*Co-op students must take ME 21 sophomore year, second semester (18-19 credit hours). Co-op students will take ME 231 (3), MECH 102(3), and two HSS electives (6-8) during the summer after the sophomore year (12-14 credit hours). See Co-op program for details.

junior year, first semester (16-18 credit hours)

junior year, second semester (17-18 credit hours)

senior year (27-32 credit hours)

The total number of credits required for graduation is 127. A total of 41 credits in electives must be taken. These electives are of four types:

Engineering Mechanics Electives

1. Humanities/Social Sciences: A total of 17 credits of electives in humanities and social science, which must include ECO 1. (Note that these electives are in addition to the 6 hours of required freshman English.) See description of HSS in Section III of this catalog.

2. ENGR. Elective A: Two, 3 credit courses selected from the following: MECH 302, MECH 305, ME 304, ME 322, ME 331, or ME 343

3. ENGR. Elective B: Four, 3credit courses selected from any ME 300/MECH 300-level course or an engineering/science/ mathematics course, as approved by the Department Chair, excluding ME 310.

4. Free electives: 6 credit hours of any subject area are required.

Typical recommended options:

Applied Mathematics and Computational Mechanics

Solid Mechanics

Engineering Materials

Fluid Mechanics

Minor in Aerospace Engineering

The minor in aerospace engineering provides a foundation for students who intend to pursue a career in the aerospace industry. This minor will also provide sufficient technical background in aerospace studies for undergraduates who plan to enter graduate programs in this field. The minor requires a minimum of 15 credits from the following course selection:

Required Courses

Elective Courses

Minor in Energy Engineering

The minor in energy engineering touches upon the technologies associated with the transformation and use of energy in various forms. Since every sector of engineering and the economy require energies of one form or another, the courses included in this minor program will permit student exposure to fossil, nuclear and renewable energy technologies. The mechanical engineering curriculum provides the fundamental knowledge in thermodynamics, fluid mechanics and other related areas leading up to the courses for the energy engineering minor. The courses offer a wide variety of topics including fundamental, analytical and design aspects of energy conservation as well as various forms of energy used in power generation, transportation and industry. The minor in energy engineering requires a minimum of 15 credits, which must be taken from MEM offerings. The minor in energy is primarily intended for ME Majors but students with other majors, particularly Chemical engineering will be able to take some or all the related courses. Four courses are required with some degree of choice and an additional course must be selected from a broader set.

Required course:

Elective Energy Courses:

Choose at least three courses from the below four

Additional Electives:

OR other Energy related 300 level courses with the approval of the ME Dept. Chair.

Minor in Mechanics of Materials

The minor in mechanics of materials provides a view of mechanical strength and behavior of materials based on understanding a few basic concepts and using simplified material models. Courses selected for the minor emphasize concepts such as superposition of loadings; relation between external loads and internal stresses; factor of safety; safe design based on allowable stress or allowable loads; allowable deformation; and reliability of structures. Courses offer a wide variety of topics including analytical and numerical methods for solving mechanics problems; manufacturing and polymer processing. The mechanics of materials minor requires a minimum of 15 credits, which must be taken from MEM offerings. Two courses are required; and three additional electives must be selected. The minor is not available for students having a major in the Department of Mechanical Engineering and Mechanics.

Required courses

Electives

*This cross-listed course ME 344 counts as an elective.

Undergraduate Courses in Mechanical Engineering

ME 10. Graphics for Engineering Design (3) fall

Graphical description of mechanical engineering design for visualization and communication by freehand sketching, production drawings, and 3D solid geometric representations. Introduction to creation, storage, and manipulation of such graphical descriptions through an integrated design project using state-of-the art, commercially available computer-aided engineering software. Lectures and laboratory. (ES 1), (ED 2)

ME 21. Mechanical Engineering Laboratory I (1) fall

Experimental methods in mechanical engineering and mechanics. Analysis of experimental error and error propagation. Introduction to elementary instrumentation. Introduction to digital data acquisition. Prerequisite: MECH 12, previously or concurrently. (ES 1), (ED 0)

ME 104. Thermodynamics I (3) spring

Basic concepts and principles of thermodynamics with emphasis on simple compressible substances. First and second law development, energy equations, reversibility, entropy and efficiency. Properties of pure substances and thermodynamic cycles. Co-requisite: MATH 23 and PHY 11. (ES 3), (ED 0)

ME 111. Professional Development (1) fall

Examination of ethical and professional choices facing mechanical engineers. Written and oral communications. Prerequisite: senior standing in Mechanical Engineering and Mechanics

ME 121. Mechanical Engineering Laboratory II (1) spring

A continuation of ME 21 including use of transducers, advanced instrumentation, and data acquisition. Emphasis on experimental exercises that illustrate, and/or introduce material from thermodynamics, and fluid mechanics. Includes proposal writing and interpretation of results. Prerequisites: ME 21, ME 104, and co-requisite: ME 231. (ES 1), (ED 0)

ME 207. Mechanical Engineering Laboratory III (2) fall, spring

Formulation of laboratory experiments through open-ended planning, including decision criteria for laboratory techniques and approaches. Execution of experiments based on individual plans, followed by assessment of experimental results. Prerequisite: ME 121.

ME 211. Integrated Product Development I (3) spring

Business, engineering and design arts students work in cross disciplinary teams of 46 students on conceptual design including marketing, financial and economic planning, economic and technical feasibility of new product concepts. Teams work on industrial projects with faculty advisors. Oral presentations and written reports. Prerequisites: ME 10, MECH 12, ME 104. (ES 0), (ED 3)

ME 212. Integrated Product Development II (2) fall

Business, engineering and design arts students work in cross disciplinary teams of 46 students on the detailed design including fabrication and testing of a prototype of the new product designed in the IPD course 1. Additional deliverables include a detailed production plan, marketing plan, detailed base-case financial models, project and product portfolio. Teams work on industrial projects with faculty advisors. Oral presentations and written reports. Prerequisites: ME 211, ME 252, (ME 252 may be taken concurrently). (ES 0) (ED 2)

ME 215. Engineering Reliability (3) fall

Applications of reliability methods to engineering problems. Modeling and analysis of engineered components and systems subjected to environmental and loading conditions. Modeling content encompasses mechanistically based probability and experientially based statistical approaches. Concepts needed for design with uncertainty are developed. Principles are illustrated through case studies and projects. Engineering applications software will be extensively utilized for the projects. Prerequisites: MATH 23 or 33; MECH 12, previously or concurrently.

ME 231. Fluid Mechanics (3) fall

Kinematics of fluid flow and similarity concepts. Equations of incompressible fluid flow with inviscid and viscous applications. Turbulence. One-dimensional compressible flow, shock waves. Boundary layers, separation, wakes and drag. Prerequisite: MATH 205. (ES 2.5), (ED 0.5)

ME 240. Manufacturing (3) spring

Analytical and technological base for several manufacturing processes and common engineering materials. Processes include metal cutting, metal deformation, injection molding, thermoforming, and composites. Process planning, computer-aided manufacturing, manufacturing system engineering, and quality measurements. Design project. Weekly laboratory. Prerequisites: ME 10, MECH 12. (ES 1.5), (ED 1.5)

ME 242. Mechanical Engineering Systems (3) fall or spring

The modeling and analysis of mechanical, fluid, electrical and hybrid systems, with emphasis on lumped models and dynamic behavior, including vibrations. Source-load synthesis. Analysis in temporal and frequency domains. Computer simulation of nonlinear models, and computer implementation of the superposition property of linear models. Prerequisites: MECH 102 and MATH 205; ME 231 previously or concurrently.

ME 245. Engineering Vibrations (3) fall or spring

Physical modeling of vibrating systems. Free and forced single and multiple degree of freedom systems. Computer simulations. Engineering applications. Prerequisites: MECH 102 and Math 205. (ES2), (ED1).

ME 252. Mechanical Elements (3) spring

Methods for the analysis and design of machine elements such as springs, gears, clutches, brakes, and bearings. Motion analysis of cams and selected mechanisms. Projects requiring the design of simple mechanisms of mechanical sub-assemblies. Prerequisites: MECH 12, ME 10 and MECH 102. (ES 1.5), (ED 1.5)

ME 255 – Introduction to Aerospace Engineering (3)

Properties of the atmosphere, aircraft design and performance basics including estimation of lift and drag of aerodynamic bodies. Concepts of stall and service ceiling of aircraft along with propulsive forces, stability and control. Prerequisites: PHY 11 and ME 104, and Co-requisite or Prerequisite ME 231.

For Advanced Undergraduates and Graduate Students

ME 304. Thermodynamics II (3)

Availability and Second Law Analysis. Design of gas and vapor power cycles, and refrigeration systems. Generalized property relations for gases and gas-vapor. Combustion and chemical equilibrium. Design of engineering systems and processes incorporating thermodynamic concepts and analysis. Prerequisite: ME104. (ES 2), (ED 1)

ME 309 (Mat 309) – Composite Materials (3)

Principles and technology of composite materials. Processing, properties, and structural applications of composites, with emphasis on fiber-reinforced polymers. Prerequisites: MAT 33 or equivalent, MECH 3.

ME 310. Directed Study (13) fall, spring

Project work on any aspect of engineering, performed either individually or as a member of a team made up of students, possibly from other disciplines. Project progress is reported in the form of several planning and project reports. Direction of the projects may be provided by faculty from several departments and could include interaction with outside consultants and local communities and industries. Prerequisite: Department permission required. (ES 1), (ED 2)

ME 312. Analysis and Synthesis of Mechanisms (3) fall

Types of motion. Degrees of freedom of motion. Position, velocity and acceleration analysis of linkage mechanisms. Systematic approach to the design of linkage mechanisms. Motion generation, path synthesis and function synthesis. Structural synthesis of planar and spatial mechanisms. Static force analysis of mechanisms using virtual work. Prerequisite: MECH 102. Chew. (ES1), (ED2)

ME 315 (BIOE 315). Bioengineering Statistics (3) spring

Probability and statistics applied to bioengineering problems focusing on modeling and data analysis. Types of data, types of distributions, parametric and nonparametric analyses, goodness-of-fit, regression, power analysis, and multivariate analysis, life models, simulation, cluster analysis, and Bayesian statistics. Projects and case studies. Prerequisites: MATH 231 or equivalent.

ME 321. Introduction to Heat Transfer (3)

Analytical and numerical solutions to steady and transient one-and two-dimensional conduction problems. Forced and natural convection in internal and external flows. Thermal radiation. Thermal design of engineering processes and systems. Prerequisites: ME 104, ME 231. Neti, Blythe, MacPherson. (ES 2), (ED 1)

ME 322. Gas Dynamics (3)

Flow equations for compressible fluids; thermodynamic properties of gases. Normal shock waves. Steady one-dimensional flows with heat addition and friction. Oblique shock waves. Expansion waves. Nozzle flows. Shock tubes; performance calculations and design. Supersonic wind tunnels; diffuser design. Real gas effects. Prerequisites: ME 231, ME 104, MATH 205. Blythe. (ES 2.5), (ED 0.5)

ME 323. Reciprocating and Centrifugal Engines (3)

Thermal analysis and design of internal combustion engines (conventional and unconventional), gas turbine engines, air breathing jet engines, and rockets. Components such as jet nozzles, compressors, turbines, and combustion chambers are chosen to exemplify the theory and development of different types of components. Both ideal fluid and real fluid approaches are considered. Prerequisite: ME 104. (ES 2.5), (ED 0.5)

ME 331. Advanced Fluid Mechanics (3)

Kinematics of fluid flow. Conservation equations for inviscid and viscous flows; integral forms of equations. Two-dimensional potential flow theory of incompressible fluids with applications. Boundary layers. Introduction to free shear layer and boundary layer stability and structure of turbulence. Transition from laminar to turbulent boundary layers. Separation of flow. Steady and unsteady stall. Secondary flows. Hydrodynamic lubrication. Measurement techniques. Prerequisite: ME 231 or equivalent. Varley. (ES 2.5), (ED 0.5)

ME 333. Propulsion Systems (3)

Review of jet and rocket engine technologies. Jet and rocket engine thermodynamic and aerodynamic principles. Performance of turbojet, turbofan, and turboprop jet engines. Rocket engines include liquid, cryogenic, solid, and electric propulsion. Prerequisite: ME 104 Thermodynamics and either MECH 326 Aerodynamics or ME 322 Gas Dynamics.

ME 340. Advanced Mechanical Design (3)

Probabilistic design of mechanical components and systems. Reliability functions, hazard models and product life prediction. Theoretical stress-strength-time models. Static and dynamic reliability models. Optimum design of mechanical systems for reliability objectives or constraints. Prerequisite: MATH 231 or consent of instructor. Harlow. (ES 2), (ED 1)

ME 341. Mechanical Systems (3)

Advanced topics in mechanical systems design. Kinematics and dynamics of planar machinery. Shock and vibration control in machine elements. Balancing of rotating and reciprocating machines. Design projects using commercial computer-aided-engineering software for the design and evaluation of typical machine systems. Prerequisite: ME 252. Lucas. (ES 1.5), (ED 1.5)

ME 342. Dynamics of Engineering Systems (3)

Dynamic analysis of mechanical, electromechanical, fluid and hybrid engineering systems with emphasis on the modeling process. Lumped and distributed-parameter models. Use of computer tools for modeling, design and simulation. Design projects. Prerequisite: ME 242. (ES 2), (ED 1)

ME 343. Control Systems (3)

Linear analyses of mechanical, hydraulic and electrical feedback control systems by root locus and frequency response techniques. A design project provides experience with practical issues and tradeoffs. Prerequisite: ME 242, or ME 245, or ECE 125. (ES 2), (ED 1)

ME 344 (IE 344, MAT 344) Metal Machining Analysis (3)

Intensive study of metal cutting emphasizing forces, energy, temperature, tool materials, tool life, and surface integrity. Abrasive processes. Laboratory and project work. Prerequisite: ME 240 or IE 215 or MAT 206.

ME 348. Computer-Aided Design (3)

Impact of computer-aided engineering tools on mechanical design and analysis. Part geometry modeling and assembly modeling using solid representations. Analysis for mass properties, interference, kinematics, displacements, stresses and system dynamics by using state-of-the-art commercially available computer-aided-engineering software. Integrated design projects. Prerequisites: MATH 205, ME 10, MECH 12, MECH102.

ME 350. Special Topics (1-4)

A study of some field of mechanical engineering not covered elsewhere. Prerequisite: consent of the department chair. (ES 1), (ED 2)

ME 360. (CHE 360) Nuclear Reactor Engineering (3)

A consideration of the engineering problems related to nuclear reactor design and operation. Topics include fundamental properties of atomic and nuclear radiation, reactor fuels and materials, reactor design and operation, thermal aspects, safety and shielding, instrumentation and control. Course includes several design projects stressing the major topics in the course. Prerequisite: Senior standing in engineering or physical science. Neti. (ES 2), (ED 1)

ME 362. Nuclear Fusion and Radiation Protection (3)

Structure of the nucleus. Quantum theory. Nuclear energy release: Fission vs. Fusion. Plasma for fusion. Power balances in fusion plasmas. Magnetic and inertial confinement fusion concepts. Magnetic equilibrium configurations and limitations. The Tokamak. Emerging and alternative concepts. Fusion reactor economics. Radiation sources and Radioactive decay. Interactions of radiation with matter, detectors and protection from radiation. Energy deposition and dose calculations. Applications in dosimetry, imaging and spectroscopy. Prerequisites: Senior standing in engineering or physical science.

ME 364. Renewable Energy (3)

Fundamentals and design aspects of Renewable Energy (RE) technologies; biofuels, hydropower, solar photovoltaic, solar thermal, wind, geothermal energies. Details and difficulties in implementing RE. Prerequisites: Math 205, ME 104, ME 231 and/or senior standing in Engineering .

ME 366. Engineering Principles of Clean Coal Technology (3)

Effect of coal properties on plant performance. Design and performance of coal-based electric power generation systems. Technologies to control emissions. Carbon capture and sequestration methods for coal-fired power plants and analysis of CCS options. Prerequisites: ME 104 or equivalent and Junior standing in engineering or physical science.

ME 373. Mechatronics (3)

Synergistic integration of mechanical engineering with electronics and intelligent computer control in designing and manufacturing machines, products and processes; semiconductor electronics, analog signal processing, with op amps, digital circuits, Boolean algebra, logic network designs, Karnaugh map, flip-flops and applications, data acquisition, A/D and D/A, interfacing to personal computers, sensors and actuators, microcontroller programming and interfacing. Prerequisites: ECE 83 or equivalent; ME 374 concurrently.

ME 374. Mechatronics Laboratory (3)

Experiments and applications utilizing combinations of mechanical, electrical, and microprocessor components. Theory and application of electronic and electromechanical equipment, operation and control of mechatronic systems. Projects integrating mechanical, electronic and microcontrollers. Prerequisites: ECE 83 or equivalent; ME 373 concurrently.

ME 376 (ChE 376) Energy: Issues & Technology (3)

Energy usage and supply, fossil fuel technologies, renewable energy alternatives and environmental impacts. The scope will be broad to give some perspective of the problems, but in-depth technical analysis of many aspects will also be developed. Prerequisites: college-level introductory courses in chemistry, physics and mathematics and instructor approval.

ME 385. Polymer Product Manufacturing (3)

Polymer processes such as injection molding through a combination of theory development, practical analysis, and utilization of commercial software. Polymer chemistry and structure, material rheological behavior, processing kinetics, molecular orientation development, process simulation software development, manufacturing defects, manufacturing window establishment, manufacturing process design, manufacturing process optimization. Prerequisites: Senior level standing in engineering or science. Credit not given for both ME 385 and ME 485.

ME 387. (CHE 387, ECE 387) Digital Control (3)

Sampled-data systems; z-transforms; pulse transfer functions; stability in the z-plane; root locus and frequency response design methods; minimal prototype design; digital control hardware; discrete state variables; state transition matrix; Liapunov stability state feedback control (two lectures and one laboratory per week). Prerequisite: CHE 386 or ECE 212 or ME 343 or consent of instructor. (ES 3), (ED 0)

ME 389. (ECE 389, CHE 389) Control Systems Laboratory (2)

Experiments on a variety of mechanical, electrical and chemical dynamic control systems. Exposure to state-of-the-art control instrumentation: sensors, transmitters, control valves, analog and digital controllers. Emphasis on design of feedback controllers and comparison of theoretical computer simulation predictions with actual experimental data. Lab teams will be interdisciplinary. Prerequisites: Either CHE 386, ME 343, or ECE 212. (ES 1), (ED 1)

Undergraduate Courses in Engineering Mechanics

MECH 2. Elementary Engineering Mechanics (3) fall

Static equilibrium of particles and rigid bodies. Elementary analysis of simple truss and frame structures, internal forces, stress, and strain. Prerequisites: Phys. 11; MATH 22 previously or concurrently.

MECH 3. Fundamentals of Engineering Mechanics (3) fall, spring

Static equilibrium of particles and rigid bodies. Analysis of simple truss and frame structures, internal forces, stress, strain, and Hooke’s Law, torsion of circular shafts; pure bending of beams. Prerequisites: Phys. 11; MATH 22 previously or concurrently. Course is intended as a prerequisite for MECH 12. Credit not given for both Mech 2 and Mech 3. (ES 2.5, ED 0.5)

MECH 12. Strength of Materials (3) spring

Transverse shear in beams. Mohr’s circle for stress. Plastic yield criteria. Deflection of beams. Introduction to numerical analysis of simple structures. Fatigue and fracture. Column buckling. Stresses in thick-walled cylinders. Prerequisites: MECH 3; MATH 23 may be taken previously or concurrently. (ES 2), (ED 1)

MECH 102. Dynamics (3) fall

Particle dynamics, work-energy, impulse-momentum, impact, systems of particles; kinematics of rigid bodies, kinetics of rigid bodies in plane motion, energy, momentum, eccentric impact. Prerequisites: MECH 2 or MECH 3, and MATH 23. (ES 3), (ED 0)

MECH 103. Principles of Mechanics (4)

Composition and resolution of forces; equivalent force systems; equilibrium of particles and rigid bodies; friction. Kinematics and kinetics of particles and rigid bodies; relative motion; work and energy; impulse and momentum. Prerequisites: MATH 23 and Phys 11. (ES 4), (ED 0)

For Advanced Undergraduates and Graduate Students

MECH 302. Advanced Dynamics (3)

Fundamental dynamic theorems and their application to the study of the motion of particles and rigid bodies, with particular emphasis on three-dimensional motion. Use of generalized coordinates; Lagrange’s equations and their applications. Prerequisites: MECH 102 or 103; MATH 205. Perreira (ES 3), (ED 0)

MECH 305. Advanced Mechanics of Materials (3)

Strength, stiffness, and stability of mechanical components and structures. Fundamental principles of stress analysis: three-dimensional stress and strain transformations, two-dimensional elasticity, contact stresses, stress concentrations, energy and variational methods. Stresses and deformations for rotating shafts, thermal stresses in thick-walled cylinders, curved beams, torsion of prismatic bars, and bending of plates. Projects relate analysis to engineering design. Prerequisites: MECH 12, MATH205. Nied. (ES 2.5), (ED 0.5)

MECH 307. Mechanics of Continua (3)

Fundamental principles of the mechanics of deformable bodies. Study of stress, velocity and acceleration fields. Compatibility equations, conservation laws. Applications to two-dimensional problems in finite elasticity, plasticity, and viscous flows. Prerequisite: MECH 305. Varley. (ES 3), (ED 0)

MECH 312. Finite Element Analysis (3)

Basic concepts of analyzing general media (solids, fluids, heat transfer, etc.) with complicated boundaries. Emphasis on mechanical elements and structures. Element stiffness matrices by minimum potential energy. Isoparametric elements. Commercial software packages (ABAQUS, NISA) are used. In addition, students develop and use their own finite element codes. Applications to design. Prerequisite: MECH 12. (ES 1.5), (ED 1.5)

MECH 313. Fracture Mechanics (3)

Fracture mechanics as a foundation for design against or facilitation of fracture. Fracture behavior of solids; fracture criteria; stress analysis of cracks; subcritical crack growth, including chemical and thermal effects; fracture design and control, and life prediction methodologies. Prerequisites: MECH 12, MATH 205, or approval of department. Nied. (ES 2), (ED 1)

MECH 326. Aerodynamics (3)

Application of fluid dynamics to flows past lifting surfaces. Normal force calculations in inviscid flows. Use of conformal mappings in two dimensional airfoil theory. Kutta condition at a trailing edge; physical basis. Viscous boundary layers. Thin airfoil theory. Section design; pressure profiles and separation. Lifting line theory. Compressible subsonic flows; Prandtl-Glauert Rule. Airfoil performance at supersonic speeds. Prerequisites: ME 231 and MATH208. Blythe, Varley. (ES 2.5), (ED 0.5)

MECH 328. Fundamentals of Aircraft Design (3)

Review of aerodynamics; Weight and balance, stability, loads; Basics of propellers; Power and performance; International Standard Atmosphere; Introduction to aerospace composites; Introduction to FAA regulations. Prerequisite: MECH 12. Grenestedt.

MECH 350. Special Topics (3)

A study of some field of engineering mechanics not covered elsewhere. Prerequisite: consent of the department chair.

Graduate Programs

The department offers programs of study leading to the degrees of master of science, master of engineering, and doctor of philosophy in mechanical engineering and computational and engineering mechanics.

Subject to approval, courses from other engineering curricula, such as materials science and engineering, and chemical, electrical, and industrial engineering, together with courses in mathematics and engineering mathematics, may be included in the degree program.

Master of Science in Mechanical Engineering

The M.S. in mechanical engineering requires 24 credit hours of courses and six credit hours of research, which culminates in a thesis. Core courses that must be taken are: ME 452, Mathematical Methods in Engineering I; and either ME 453, Mathematical Methods in Engineering II or ME 413, Numerical Methods in Mechanical Engineering. In addition, three of the following courses must be taken: ME 423, Heat and Mass Transfer; ME 430, Advanced Fluid Mechanics; MECH 406 Fundamentals of Solid Mechanics; MECH 425, Analytical Methods in Dynamics and Vibrations; and either ME 401, Product Development, or ME 402, Manufacturing.

Master of Engineering in Mechanical Engineering

The M.Eng. requires 30 credit hours of graduate work. Audit credits may not be used toward the degree. At least 18 credit hours of courses must be at the 400-level, and 15 of these must be in mechanical engineering and mechanics. At least 18 credit hours of courses must be in mechanical engineering and mechanics, and at least 24 credit hours must be at the 300 or 400-level. No course in mechanical engineering and mechanics below the 300-level may be used towards the M.Eng., but two courses (6 credits) outside the department that are below the 300-level may apply, with approval from a student’s advisor and the departmental Graduate Committee.

Master of Science in Computational and Engineering Mechanics

All students pursuing a master’s degree in computational and engineering mechanics must take a minimum of 30 credit hours of graduate level work, with not less than 24 of these hours being at the 400 level. Their program must include the following three required courses:

In addition they must take two of the four MEM core courses:

The remaining 15 credits may be taken from any of the graduate courses in MEM and other approved electives. Both thesis and non-thesis options are available.

Doctor of Philosophy in Mechanical Engineering

The Ph.D. program in Mechanical Engineering requires innovative research in collaboration with one or more faculty members, along with the completion of 72 credit hours beyond the bachelor’s degree (if graduate study is carried out entirely at Lehigh University), or 48 beyond the master’s degree (obtained at another university). Students are admitted to Ph.D. candidacy in mechanical engineering upon attainment of a minimum GPA of 3.35 in five core courses (see core course requirements for Master of Science in Mechanical Engineering) and completion of a General Examination, which is based on assessment and presentation of a research topic. Formal University candidacy for the Ph.D. is granted upon recommendation of the doctoral committee and approval by the engineering college. Course work for the Ph.D. is determined in consultation with the student’s advisor and doctoral committee. To complete the Ph.D. degree, the student must present and defend a dissertation before the doctoral committee.

Doctor of Philosophy in Computational and Engineering Mechanics

Students wishing to pursue a Ph.D. in computational and engineering mechanics must take the required core courses:

They must also take two core courses from the supplemental list given below:

A student must attain a GPA of 3.35 for the five required courses taken. All students who satisfy the GPA requirement will be required to take a three-hour written examination in an area (special topic) of the student’s choice. This topic is subject to approval by the computational and engineering mechanics graduate committee. For students who start in the program following their bachelor’s degree, the written examination must be taken no later than the beginning of the fourth semester after entry. A student who fails the written examination will be allowed a single retake. The retake examination will be given at the end of the semester in which the examination was first attempted.

In addition, before completion of the degree, a student must have received graduate credit for at least two of the four MEM core courses which are designated by a * in the above list. If desired, these starred courses may be used as part of the Computational and engineering mechanics core, and hence count towards the core GPA requirement.

Research Facilities

The department has a wide range of computational, computer graphics and experimental systems. The department’s CAD Lab has over 50 computers that include high-end engineering workstations. The university supports networks of hundreds of PCs as well as links to the Internet with thousands of online services.

Experimental facilities include 11 pulsed and continuous laser units for laser diagnostics in the areas of fluid and solid mechanics, four image processing systems, and a number of unique facilities for observing and controlling flow past surfaces and through machines. There are well equipped laboratories for multidisciplinary studies of crack growth in deleterious environments and at elevated temperatures of up to 700C, in conjunction with a number of surface analysis and electron microscopy facilities on campus.

Extensively equipped, interdepartmental robotics, controls, and manufacturing laboratories are also available.

Other facilities include the latest mechanical, electro-dynamic and servocontrolled hydraulic testing machines, photoelastic equipment, and Moire strain measuring instruments.

Recent Research Activities

Continuum and Solid Mechanics. Formulation of field equations and constitutive equations in nonlinear elasticity theories; mechanics of viscoelastic solids and fluids, plasticity theory; generalized continuum mechanics; thermo-mechanical and electromechanical interactions; analyses and modeling of manufacturing processes; free vibration and dynamic response of elastic shells, elastic-plastic deformation of shells upon cyclic thermal loading, and applications of shell analysis to nuclear power plant components; optical stress analysis; biomechanics of gait; wave propagation; finite amplitude wave propagation.

Fracture Mechanics. Stress analysis of materials containing defects, including viscoelastic, nonhomogeneous, and anisotropic materials; analytical and experimental studies and modeling of crack growth under static, periodic, and random loadings and environmental effects; optimizations of fracture control; crack propagation theories for nonlinear material; influence of cracks on the strength of structural members and of interfaces; hydraulic fracture; applications to reliability and durability of composites, structural and microelectronic components, and to processes for resource recovery.

Thermofluids. Structure of turbulent boundary layers, wakes and jets; vortex solid boundary interactions; boundary layers in compressible flow, including hypersonic regimes; vortex breakdown in internal machinery and in flow past wings; drag reduction in turbulent flows; flow induced noise and vibration; flutter of blades in axial-flow turbomachinery and of tails and fins on aircraft; unsteady aerodynamic flows past three dimensional wings and bodies; flow structure and heat transfer at end-wall junctions in rotating machinery and on surfaces of aircraft; flows in micro-hydro-electromechanical systems; convective heat transfer in systems of electronic components; flows through complex components of power generation systems; transport of coal particles; flow and heat transfer in fluidized beds; cycle analysis applied to coal gasifiers; control optimization of heat pumps; laser-Doppler and particle image velocimetry; liquid crystal sensors for heat transfer; Raman spectral techniques applied to two-phase flow; laser diagnostics and image processing of complex flow and heat transfer systems.

Theoretical Fluid Mechanics. Vortex boundary layer interaction, modeling of turbulent boundary layers; geophysical flows such as frontal systems and mountain flows; statistical mechanics of plasmas, liquids and shock waves; finite amplitude waves in stratified gases and liquids; shock wave propagation; non-Newtonian flows in flexible tubes with application to hemorheology; magneto-fluid mechanics; wing theory; thermally driven flows.

Design. Geometric modeling; tolerance analysis and synthesis; assembly modeling; geometric dimensioning and tolerancing; 3D digitizing; data and information structures; design for manufacturing; design methodology, tools and practices; expert systems in design; industry projects with Integrated Product Development (IPD) focus.

Manufacturing. Free-form surface machining; coordinate measuring machine applications to geometric dimensions and tolerances; Taguchi’s method; injection molding; sheet metal fabrication; FEA/FEM applications to plastic deformation of metals; rapid prototyping; intelligent manufacturing incorporating process modeling, sensor subsystems for in situ product quality monitoring, and knowledge-based control for real-time process adaptation; blow molding; composites processing; thermoforming; resin transfer molding; spin coating; electronic packaging.

Systems Dynamics and Controls. Modeling, simulation and control of dynamic systems including: control of unstable processes, programmed logic control experience, compensator design and construction, issues in digital implementation, state-of-the-industrial art experimental equipment, energy methods and bond graph modeling, methods of model identification from experimental data; application to various mechanisms, vehicles, chemical processes, aircraft systems, chemical processes, hydraulic systems, thermodynamic systems, microelectromechanical actuators; application to mechatronics for the integration of mechanical systems, computer control and programming for the design of smart consumer products and intelligent manufacturing machinery.

Stochastic Processes. Modeling of random behavior in mechanical systems; static and time-dependent stochastic fracture mechanics, with particular applications to assessments of reliability and service life prediction.

Engineering Mathematics. General research areas within the division include: Analytical and numerical methods for the solution of ordinary and partial differential equations; industrial applications. Asymptotic methods. Finite element techniques. Wavelets. Nonlinear studies; stability and bifurcation. Navier-Stokes equations; boundary layer theory; turbulence modelling. Non-Newtonian fluids; viscometric flows; materials processing. Geophysical flows. Wave propagation; solutions. Combustion phenomena. Continuum mechanics; large deformation analyses; buckling; fracture mechanics. Thermoelasticity. Applied probability and stochastic processes; stochastic differential equations. Statistical mechanics.

Graduate Courses in Mechanical Engineering

Except for core courses, graduate courses are generally offered every third semester. Several courses are offered each year as ME 450 Special Topics. For details, contact the graduate office of the department.

ME 401. Integrated Product Development (IPD) (3) fall

An integrated and interdisciplinary approach to engineering design, concurrent engineering, design for manufacturing, industrial design and the business of new product development. Topics include design methods, philosophy and practice, the role of modeling and simulation, decision making, risk, cost, material and manufacturing process selection, platform and modular design, mass customization, quality, planning and scheduling, business issues, teamwork, group dynamics, creativity and innovation. The course uses case studies and team projects with international partners. Ochs. ME402.

ME 402. (MAT 402) Advanced Manufacturing Science (3) spring

The course focuses on the fundamental science-base underlying manufacturing processes, and applying that science base to develop knowledge and tools suitable for industrial utilization. Selected manufacturing processes representing the general classes of material removal, material deformation, material phase change, material flow, and material joining are addressed. Students create computer-based process simulation tools independently as well as utilize leading commercial process simulation packages. Laboratory experiences are included throughout the course. Coulter/Nied

ME 411. Boundary-Layer Theory (3)

The course is intended as a first graduate course in viscous flow. An introduction to boundary-layer theory, thermodynamics and heat transfer at the undergraduate level are assumed to have been completed. Topics include the fundamental equation of continuum fluid mechanics, the concept of asymptotic methods and low and high Reynolds number flows, laminar boundary layers, generalized similarity methods, two-and three-dimensional flows, steady and unsteady flows and an introduction to hydrodynamic stability. The material is covered in the context of providing a logical basis as an introduction to a further course in turbulent flows.

ME 413. Numerical Methods in Mechanical Engineering (3)

Zeros of functions, difference tables, interpolation, integration, differentiation. Divided differences, numerical solution of ordinary differential equations of the boundary and initial value type. Eigen problems. Curve fitting, matrix manipulation and solution of linear algebraic equations. Partial differential equations of the hyperbolic, elliptic and parabolic type. Application to problems in mechanical engineering.

ME 415. Flow-Induced Vibrations (3)

Excitation of streamlined- and bluff-bodies by self-excited, vortex, turbulence, and gust-excitation mechanisms. Analogous excitation of fluid (compressible and free-surface) systems having rigid boundaries. Extensive case studies. Rockwell

ME 420. Advanced Thermodynamics (3)

Critical review of thermodynamics systems. Criteria for equilibrium. Applications to electromagnetic systems. Statistical thermodynamics. Irreversible thermodynamics. Thermoelectric phenomena. Levy

ME 421. Topics in Thermodynamics (3)

Emphasis on theoretical and experimental treatment of combustion processes including dissociation, flame temperature calculations, diffusion flames, stability and propagation; related problems in compressible flow involving one-dimensional, oblique shock waves and detonation waves. Methods of measurement and instrumentation. Staff

ME 423. Heat and Mass Transfer (3) spring

This course is a first graduate course in the basic concepts of heat and mass transfer, providing a broad coverage of key areas in diffusion, conduction, convection, heat and mass transfer, and radiation. Topics covered include: the conservation equations, steady and transient diffusion and conduction, periodic diffusion, melting and solidification problems, numerical methods, turbulent convection, transpiration and film cooling, free convection, heat transfer with phase change, heat exchanges, radiation, mixed mode heat and mass transfer. Neti, Öztekin

ME 424. Unstable and Turbulent Flow (3)

Stability of laminar flow; transition to turbulence. Navier-Stokes equations with turbulence. Bounded turbulent shear flows; free shear flows; statistical description of turbulence. Prerequisite: ME 331. Rockwell

ME 426. Radiative and Conductive Heat Transfer (3)

Principles of radiative transfer; thermal-radiative properties of diffuse and specular surfaces; radiative exchange between bodies; radiative transport through absorbing, emitting and scattering media. Advanced topics in steady-state and transient conduction; analytical and numerical solutions; problems of combined conductive and radiative heat transfer. Prerequisite: ME 321 or CHE 421. Varley

ME 428. Boundary Layers and Convective Heat Transfer (3)

Navier-Stokes and energy equations, laminar boundary layer theory, analysis of friction drag, transfer and separation. Transition from laminar to turbulent flow. Turbulent boundary layer theory. Prandtl mixing length, turbulent friction drag, and heat transfer. Integral methods. Flow in ducts, wakes and jets. Natural convection heat transfer. Prerequisite: ME 331 or ME 321. Levy

ME 430. Advanced Fluid Mechanics (3) fall

This course is a first graduate course in incompressible fluid mechanics, providing a broad coverage of key areas of viscous and inviscid fluid mechanics. Topics covered include: Flow kinematics, differential equations of motion, viscous and inviscid solutions, vorticity dynamics and circulation, vorticity equation, circulation theorems, potential flow behavior, irrotational and rotational flows, simple boundary layer flows and solutions, and real fluid flows and consequences. Rockwell

ME 431. Advanced Gas Dynamics (3)

Method of characteristics. Unsteady continuous flow. Unsteady flows with discontinuities. Shock tubes. Detonation waves. Two-dimensional and axisymmetric supersonic flows. Momentum and energy equation of compressible viscous fluids. Prerequisite: ME 322. Blythe

ME 433. (CHE 433, ECE 433) State Space Control (3)

State-space methods of feedback control system design and design optimization for invariant and time-varying deterministic, continuous systems; pole positioning, observability, controllability, modal control, observer design, the theory of optimal processes and Pontryagin’s Maximum principle, the linear quadratic optimal regulator problem, Lyapunov functions and stability theorems, linear optimal open loop control; introduction to the calculus of variations; introduction to the control of distributed parameter systems. Intended for engineers with a variety of backgrounds. Examples will be drawn from mechanical, electrical and chemical engineering applications. Prerequisite: ME 343 or ECE 212 or CHE 386 or consent of instructor.

ME 434. (CHE 434, ECE 434) Multivariable Process Control (3)

A state-of-the-art review of multivariable methods of interest to process control applications. Design techniques examined include loop interaction analysis, frequency domain methods (Inverse Nyquist Array, Characteristic Loci and Singular Value Decomposition) feed forward control, internal model control and dynamic matrix control. Special attention is placed on the interaction of process design and process control. Most of the above methods are used to compare the relative performance of intensive and extensive variable control structures. Prerequisite: CHE 433 or ME 433 or ECE 433 or consent of instructor.

ME 436. (CHE 436, ECE 436) Systems Identification (3)

The determination of model parameters from time-history and frequency response data by graphical, deterministic and stochastic methods. Examples and exercises taken from process industries, communications and aerospace testing. Regression, quasilinearization and invariant-imbedding techniques for nonlinear system parameter identification included. Prerequisite: CHE 433 or ME 433 or ECE 433 or consent of instructor.

ME 437. (CHE 437, ECE 437) Stochastic Control (3)

Linear and nonlinear models for stochastic systems. Controllability and observability. Minimum variance state estimation. Linear quadratic Gausian control problem. Computational considerations. Nonlinear control problem in stochastic systems. Prerequisite: CHE 433 or ME 433 or ECE 433 or consent of instructor. Staff

ME 444. Experimental Stress Analysis in Design (3)

Fundamental concepts of strain measurements and application of strain gages and strain gage circuits. Two-and three-dimensional photoelasticity, stress separation techniques, birefringent coatings, moiré methods, caustics. Use of image analysis in data acquisition and interpretation. Selected laboratory experiments. Voloshin

ME 446. Mechanical Reliability (3)

Design of mechanical engineering systems to reliability specifications. Probabilistic failure models for mechanical components. Methods for the analysis and improvement of system reliability. Effect of component tolerance and parameter variation on system failure. Reliability testing. Prerequisite: MATH 231 or MATH 309. Harlow

ME 450. Special Topics (3)

An intensive study of some field of mechanical engineering not covered in more general courses.

ME 451. Seminar (1-3)

Critical discussion of recent advances in mechanical engineering.

ME 452 (CHE 452, ENGR 452). Mathematical Methods in Engineering I (3) fall

Vector spaces; eigenvalues, eigenvectors. Linear ordinary differential equations; diagonalizable and non-diagonizable systems. Inhomogeneous linear systems; variation of parameters. Non-linear ordinary differential equations. Nonlinear systems; stability; phase plane. Series solutions of linear ordinary differential equations. Laplace and Fourier transforms; application to partial differential equations and integral equations. Sturm-Liouville theory. Finite Fourier transforms; planar, cylindrical, and spherical geometries.

ME 453. Mathematical Methods in Engineering II (3) spring

Theory of complex functions; Cauchy-Riemann relations. Integration in the complex plane, Cauchy’s integral formula. Laurent series; singular points; contour integrals; Fourier and Laplace transforms. Evaluation of real integrals; Cauchy principal values. Laplace’s equation; conformal mappings; Poisson formulae. Singular integral equations. Classification of partial differential equations. Hyperbolic systems of partial differential equations; uniqueness, shock formation. Nonlinear parabolic equations; Burger’s equation.

ME 458. Modeling of Dynamic Systems (3)

Modeling of complex linear and nonlinear energetic dynamic engineering systems. Emphasis on subdivision into multiport elements and representation by the bondgraph language using direct, energetic, and experimental methods. Field lumping. Analytical and graphical reductions. Simulation and other numerical methods. Examples including mechanisms, electromechanical transducers, electric and fluid circuits, and thermal systems.

ME 460. Engineering Project (16)

Project work on some aspect of mechanical engineering in an area of student and faculty interest. Selection and direction of the project could involve interaction with local communities or industries. Prerequisite: consent of the department chair.

ME 461. IPD: Design (3)

Industry sponsored Integrated Product Development Project (IPD) projects. The student works with an industry sponsor to do a technical and economic feasibility study of new product development. Selection and content of the project is determined by the faculty project advisor in consultation with the industry sponsor. Deliverables include progress and final reports, oral presentations and posters. Prerequisites: Consent of the department chair and faculty project advisor.

ME 462. IPD: Manufacturing (3)

Industry sponsored Integrated Product Development Project (IPD) projects. The student works with an industry sponsor to create detailed design specifications, fabricate and test a prototype new product and plan for production. Selection and content of the project is determined by the faculty project advisor in consultation with the industry sponsor. Deliverables include progress and final reports, oral presentations, posters and a prototype. Prerequisites: Consent of the department chair and faculty project advisor.

ME 464. Computer-Aided Geometric Modeling (3)

Representation schemes for geometric modeling, computational geometry for curve and surface design, finite-element meshing and NC tool path generation, interfacing different CAD/CAM databases, interactive computer graphics programming. Prerequisite: ME 348 or consent of instructor. Ozsoy

ME 466. Fundamentals of Acoustics (3)

Vibration-induced acoustic radiation, wave equation in planar, cylindrical and spherical coordinates. Sound in tubes, pipes, wave guides, acoustic enclosures. Impedance and source-media-receiver transmission concepts. Noise and its measurements. Ochs

ME 485. Polymer Product Manufacturing (3)

An exploration of the science underlying polymer processes such as injection molding through a combination of theory development, practical analysis, and utilization of commercial software. Polymer chemistry and structure, material rheological behavior, processing kinetics, molecular orientation development, process simulation software development, manufacturing defects, manufacturing window establishment, manufacturing process design, manufacturing process optimization. This course is a version of ME 385 for graduate students, with research projects and advanced assignments. Closed to students who have taken ME 385. Prerequisites: Graduate level standing in engineering or science.

ME 490. Thesis

ME 499. Dissertation

Graduate Courses in Engineering Mechanics

Except for core courses, graduate courses are generally offered every third semester.

MECH 404 (CEE 404). Mechanics and Behavior of Structural Members (3)

Behavior of structural members under a variety of loading conditions in the elastic and inelastic range. Introduction to the theory of elasticity and plasticity. Basics of linear elastic fracture mechanics and fatigue. Analysis of structural member behavior in axial, bending, shear, and torsion. Stability analysis of beam-columns. Beams on elastic foundations. Energy concepts and their use in structural analysis. Prerequisite: CEE 259 or equivalent.

MECH 406 (CEE 406). Fundamentals of Solid Mechanics (3)

An introductory graduate course in the mechanics of solids. Topics to be addressed include: tensor analysis, analysis of strain and nonlinear kinematics, stress, work conjugate stress-strain measures, conservation laws and energy theorems. Hamilton’s principle, variational calculus, isotropic and anistropic linear elasticity, boundary value problems, beam and plate theories. Prerequisite: MATH 205 or equivalent.

MECH 408. Introduction to Elasticity (3) fall

This course is a first graduate course in solid mechanics. It addresses: kinematics and statics of deformable elastic solids; compatibility, equilibrium and constitutive equations; problems in plane elasticity and torsion; energy principles, approximate methods and applications. Staff

MECH 410. Theory of Elasticity II (3)

Advanced topics in the theory of elasticity. The subject matter may vary from year to year and may include, theory of potential functions, linear thermoelasticity, dynamics of deformable media, integral transforms and complex-variable methods in classical elasticity. Problems of boundary layer type in elasticity; current developments on the microstructure theory of elasticity. Prerequisites: MECH 408, MATH 208, or consent of the department chair.

MECH 411. (PHY 471) Continuum Mechanics (3)

An introduction to the continuum theories of the mechanics of solids and fluids. This includes a discussion of the mechanical and thermodynamical bases of the subject, as well as the use of invariance principles in formulating constitutive equations. Applications of the theories to specific problems are given. Staff

MECH 413. Fracture Mechanics (3)

Elementary and advanced fracture mechanics concepts; analytical modeling; fracture toughness concept; fracture toughness testing; calculation of stress intensity factors; elastic-plastic analysis; prediction of crack trajectory; fatigue crack growth and environmental effects; computational methods in fracture mechanics; nonlinear fracture mechanics; fracture of composite structures; application of fracture mechanics to design. Prerequisites: MATH 205, MECH 305 or equivalent course in advanced mechanics of materials. Nied

MECH 415. (CE 468) Stability of Elastic Structures (3)

Basic concepts of instability of a structure; bifurcation, energy increment, snap-through, dynamic instability. Analytical and numerical methods of finding buckling loads of columns. Postbuckling deformations of cantilever columns. Dynamic buckling with nonconservative forces. Effects of initial imperfections. Inelastic buckling. Instability problems of thin plates and shells. Prerequisite: MATH 205.

MECH 418. Finite Element Methods (3)

Finite element approximations to the solution of differential equations of engineering interest. Linear and nonlinear examples from heat transfer, solid mechanics, and fluid mechanics are used to illustrate applications of the method. The course emphasizes the development of computer programs to carry out the required calculations. Prerequisite: knowledge of a high-level programming language.

MECH 419. (CHE 419) Asymptotic Methods in the Engineering Sciences (3)

Introductory level course with emphasis on practical applications. Material covered includes: Asymptotic expansions. Regular and singular perturbations; algebraic problems. Asymptotic matching. Boundary value problems; distinguished limits. Multiple scale expansions. W.K.B. Theory. Non-linear wave equations. Blythe

MECH 424. Unsteady Fluid Flows (3)

Gas dynamics, finite amplitude disturbances in perfect and real gases; channel flows; three-dimensional acoustics; theories of the sonic boom. Motions in fluids with a free surface; basic hydrodynamics, small amplitude waves on deep water; ship waves; dispersive waves; shallow water gravity waves and atmospheric waves. Hemodynamics; pulsatile blood flow at high and low Reynolds number. Models of the interaction of flow with artery walls. Varley

MECH 425. Analytical Methods in Dynamics and Vibrations (3) spring

This course is a first graduate course in dynamics and vibrations. It treats three-dimensional rigid body motion by vector methods and multi-degree of freedom systems by variational principles. Discrete modal analysis and continuous modal analysis of one-dimensional systems plus finite-element formulation of numerical problems constitutes about one-third of the course. There is a brief treatment of advanced impact. Use of symbolic computer codes is encouraged.

MECH 432 (CEE 432). Inelastic Behavior of Materials (3)

Time-independent and dependent inelastic material behavior. Time-independent plasticity. Yield criteria in multi-dimensions, J2 incremental plasticity in multi-dimensions with associated flow rule. Numerical integration of plasticity equations by radial return and other methods. Deformation theory of plasticity. Time dependent behavior including linear viscoelasticity and nonlinear creep behavior. Nonlinear material behavior at elevated temperatures. Prerequisite: MECH 406.

MECH 445. Nondeterministic Models in Engineering (3)

Application of probability and stochastic processes to engineering problems for a variety of applications. Modeling and analysis of common nondeterministic processes. Topics are selected from the following: linear and nonlinear models for random systems; random functions; simulation; random loads and vibrations; Kalman filtering, identification, estimation, and prediction; stochastic fracture and fatigue; probabilistic design of engineering systems; and spatial point processes. Prerequisites: advanced calculus and some exposure to probability and statistics. Harlow

MECH 450. Special Problems (3)

An intensive study of some field of applied mechanics not covered in more general courses.

MECH 454. Mechanics and Design of Composites (3)

Mechanics of anisotropic materials. Manufacturing and measurements of mechanical properties. Stress analysis for design of composite structures. Hydrothermal effects and residual stresses. Laminate design, micromechanics of lamina. Bolted and bonded joints. Impact and damage in composites. Lectures and laboratory. Prerequisite: MECH 305 or equivalent course in advanced mechanics of materials. Voloshin

MECH 490. Thesis

MECH 499. Dissertation

Graduate Courses in Engineering Mathematics

EMA 425. Variational Methods in Science and Engineering (3)

Variational problems with one independent variable; Euler-Lagrange equations; methods of solution; space and time dependent fields; null Lagrangians and inhomogeneous Dirichlet data; problems with constraints; symmetries and conservation laws; variational approximation methods, Rayleigh-Ritz, Galerkin, finite element, and collocation. Problems and examples will be drawn from the mechanics of solids, fluids, and related fields. Prerequisite: consent of chair. Staff

EMA 450. Special Topics (3)

An intensive study of some field of engineering mathematics not covered in other courses.

EMA 490. Thesis

EMA 499. Dissertation

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