6.44	Mechanical and Manufacturing Engineering

Acting Head: D. Kuhn
General Office: E2-327 Engineering Bldg
Telephone: (204) 474 6540
Fax: 204 275 7507
Email: mepgs@umanitoba.ca
Website: umanitoba.ca/engineering/mech_and_ind

Academic Staff

Program Information
The department offers programs of study and research toward the Master of Engineering, Master of Science and Doctor of Philosophy degrees in the following: thermal sciences; fluid mechanics; manufacturing and production; applied mechanics; materials science and engineering.

The department consists of highly qualified engineers and scientists with interlocking specialization, with doctoral degrees and post-doctoral honours from universities and research institutions from around the world.

Fields of Research
Fluid Mechanics: Active research is performed in turbulence, computational fluid dynamics, multiphase flow with droplets and engineering calculations of fluid flow. Droplets vaporization and burning under turbulent atmospheric as well as high-pressure and temperature flow conditions, premixed and non-premixed swirling and non-swirling turbulent flames, liquid jet break-up and automizaton turbulent measurement and modelling, underwater kinetic turbines.

Thermal Sciences: Concerned with the application of heat and work to engineering problems. Active research is performed in two phase flow, pool boiling simulation, enhanced heat transfer, solid-liquid phase change, entropy analysis/optimization, combined heat transfer and heat transfer in porous media, acoustic wave propagation and supercritical flow stability, ocean hydrothermal energy and minerals research, super-critical properties of ocean hydrothermal fluids, runout table cooling in the steel processing industries.

Material Science and Engineering: Concerned with the behaviour of engineering materials. Active research is focused on deformation studies, joining of aerospace materials, acoustic emission, solidification and diffusion in microgravity, phase transformation in solids, wear and wear protection, processing of polymer composites, durability and interfaces in polymer composites.

Applied Mechanics and Design: Concerned with the analysis and conception of machine and structural components. Active research is performed in biomechanics, solid mechanics, fracture mechanics, fatigue analysis, experimental stress analysis, vibrations and acoustics, kinematics and dynamics of linkage and mechanisms and computer aided design.

Manufacturing and Production: Concerned with analysis design and operation of automated systems and control systems. Active research is conducted in robotics, sensor technology, system integration, automatic controls, information systems, human-machine control systems, teleoperation, virtual design and manufacturing, and web-based manufacturing systems. Planning, design and operation of production using queuing theory, networks, scheduling, facilities planning and inventory planning models are also key areas of research.

Research Facilities
Typical research facilities are: Fully equipped facility for turbulence measurements; apparatus to study porosity and multiphase flow in porous media; laser-induced fluorescence capabilities; Unix workstations and several high resolution graphics terminals; apparatus for measurement of pressure drop and heat transfer; two-phase flow regimes during condensation and many more; computer controlled x-ray diffratometer, TEM, SEMs, optical image analyzer, mechanical testing systems, constant stress creep machines, Hopkinson bar high-strain rate deformation systems; corrosion testing and research facilities; facilities related to processing and manufacture of polymeric composites; laser optics laboratory comprising a vibration-free optical bench; a 10 ton high frequency resonant fatigue machine; analog-digital facilities for the analysis of acoustic and vibration signals; advanced manufacturing cells under full control of personal computers; a rapid prototyping system with a SLA3500 Stereolithography machine; a teleoperated hydraulic MK-II Unimate manipulator; a hydraulic test station for force/motion control studies; Electromyography (EMG) systems; high speed computer workstations for computational simulations, water and spray/wind tunnels with Particle Image Velocimetry and flow visualization, pulsed and continuous wave laser systems.

M.Sc. in Mechanical and Manufacturing Engineering

Admission
Applicants are normally required to hold a Bachelor’s degree in Mechanical Engineering or related field from a recognized university. Applicants with other engineering degrees or with honours degrees in related areas may also be accepted at the discretion of the department. In certain cases (e.g., non-engineering graduates), acceptance may initially be limited to pre-Master’s study. Contact the department for information.

Application Deadlines
The Department of Mechanical and Manufacturing Engineering allows students to begin their program on either 1 January, 1 May, 1 July or 1 September. Canadian and US students should send their applications with complete supporting documentation to the Department of Mechanical and Manufacturing Engineering no less than three (3) months before the intended start date. International students should send their applications with complete supporting documentation to the Department of Mechanical and Manufacturing Engineering to arrive no later than seven months (7) before the intended start date.

Program Requirements
Minimum Program requirements of the Faculty of Graduate Studies are found in the Graduate Studies Regulations Section of this Calendar. A minimum of 18 credit hours of coursework will be required with at least nine credit hours at the 700/7000 level as approved by the student’s advisor. The minimum time is one calendar year of full-time study and research of which at least one academic year must be spent on campus. The maximum time limit is five years.

All candidates of the M.Sc. degree are required to register in MECG 7890, M.Sc. Graduate Research Seminar. The M.Sc. degree will not be awarded without a passing grade in MECG 7890.

Second language reading requirement: none

Expected time to graduate: two years

M.Eng. in Mechanical and Manufacturing Engineering

The Master of Engineering (M.Eng.) program provides an industrially oriented program for practising engineers who wish to continue their studies on a broad base. The program also facilitates continuing education for credit.

Admission
Applicants must have a minimum of B.Sc.(Eng.) degree. In exceptional cases, based on the candidates professional experience, this requirement may be waived by the department. For full-time study, it is desirable that the applicant have one or more years of engineering experience.

Application Deadlines
The Department of Mechanical and Manufacturing Engineering allows students to begin their program on either 1 January, 1 May, 1 July or 1 September. Canadian and US students should send their applications with complete supporting documentation to the Department of Mechanical and Manufacturing Engineering no less than three (3) months before the intended start date. International students should send their applications with complete supporting documentation to the Department of Mechanical and Manufacturing Engineering to arrive no later than seven months (7) before the intended start date.

Program Requirements
Minimum Program requirements of the Faculty of Graduate Studies are found in the Graduate Studies Regulations Section of this Calendar. The minimum requirement for the award of the M.Eng. Degree is 30 credit hours of coursework with at least nine credit hours at the 700/7000 level. Of the 30 credit hours, six credit hours will be assigned to an approved project and report [069.705 M.Eng. Project and Report (6)]. The maximum time allowed for completion of the degree requirements is six years.

A student undertaking the M.Eng. program while holding the Diploma in Engineering from the University of Manitoba, shall be required to obtain 15 additional credit hours plus any credit hours negated by the six year time limit on the M.Eng. program.

Second language reading requirement: none

Ph.D. in Mechanical and Manufacturing Engineering

Admission
Admission to the Ph.D. program is normally from the Master’s degree level, i.e., M.Eng. or M.Sc. Students making exceptional progress while enrolled in either the M.Eng. or M.Sc. program may be transferred to the Ph.D. program upon the consent of the department head based on recommendations from the student’s advisor and an appointed selection committee who investigate the student’s qualifications and suitability for Ph.D. study. In such cases, the program credit hour requirements shall be decided in conjunction with the transfer.

Application Deadlines
The Department of Mechanical and Manufacturing Engineering allows students to begin their program on either 1 January, 1 May, 1 July or 1 September. Canadian and US students should send their applications with complete supporting documentation to the Department of Mechanical and Manufacturing Engineering no less than three (3) months before the intended start date. International students should send their applications with complete supporting documentation to the Department of Mechanical and Manufacturing Engineering to arrive no later than seven months (7) before the intended start date.

Program Requirements
Minimum Program requirements of the Faculty of Graduate Studies are found in the Graduate Studies Regulations Section of this Calendar. All candidates of the Ph.D. are required to register in MECG 7900, Ph.D. Graduate Research Seminar. The Ph.D. will not be awarded without a passing grade in MECG 7900. Any research projects conducted off-campus, the student must be geographically available to the campus and visit it regularly. In addition, the department has supplementary regulations and students should consult with the department regarding Supplementary Regulations.

Second language requirement: none

Expected time to graduation: two years

Course Descriptions

Interdisciplinary Courses

MECG 7890 M.Sc. Graduate Research Seminar Cr.Hrs.1 (Formerly 025.789) Seminar presentation and discussion of current research topics in mechanical, industrial and materials engineering research.

MECG 7900 Ph.D. Graduate Research Seminar Cr.Hrs.1 (Formerly 025.790) Seminar presentation and discussion of current research topics in mechanical, industrial and materials engineering research.
Thermal Sciences

MECG 7150 Conduction Heat Transfer Cr.Hrs.3 (Formerly 025.715) Steady and unsteady state heat transfer by conduction, single and multidimensional systems. Conduction with moving boundaries and computer uses of finite difference techniques.

MECG 7160 Convective Heat Transfer Cr.Hrs.3 (Formerly 025.716) Conservation principles and flux laws. Differential and integral equations of the boundary layer. Momentum and heat transfer for laminar and turbulent flow inside tubes and over external surfaces.

MECG 7170 Radiation Cr.Hrs.3 (Formerly 025.717) Thermal radiation properties, blackbody radiation, heat exchange by radiation among surfaces in the presence or absence of participating media. Theory and measurement techniques, network methods, solar energy utilization.

MECG 7460 Topics in Heat Transfer 1 (3) Selected topics in heat transfer based on 025.715, 025.716, and 025.717. Topics will be chosen from the following: conduction with and without internal heat generation, combined mode heat transfer problems, boiling and condensation heat transfer, heat exchanger design, propulsion systems heat transfer problems, special problems in forced, free and mixed convection, and two-phase flow.

MECG 7470 Topics in Heat Transfer 2 (3) A continuation of certain topics of 025.746 to include the most recent advances in these areas.

MECG 7810 Computational Thermofluids Cr.Hrs.3 (Formerly 025.781) An introduction to the solution of thermofluids problems. Computational techniques (finite difference, finite element, boundary element). Modelling of turbulent flow. Spectral methods.

Fluid Mechanics

MECG 7190 Classical Fluid Mechanics 1 Cr.Hrs.3 (Formerly 025.719) Bernoulli's equation, equations of motion, two-dimensional motion, streaming motions, aerofoils, sources and sinks, moving cylinders, theorem of Schwartz and Christoffel, jets and currents.

MECG 7200 Classical Fluid Mechanics 2 Cr.Hrs.3 (Formerly 025.720) Helmholtz motions, right linear vortices, waves. stokes stream function, spheres and ellipsoids, solid moving through a fluid, vortex motion, viscosity.

MECG 7220 Boundary Layer Theory Cr.Hrs.3 (Formerly 025.722) Basic concepts of boundary layer and separation. Navier-Stokes equations, exact solutions. Momentum and energy equations, approximate solutions; boundary layer control, and thermal boundary layers.

MECG 7240 Turbomachinery Cr.Hrs.3 (Formerly 025.724) Generalized flow relations in rotating machinery, velocity triangles, limitation on work done per stage and Mach number effects, vortex flow, flow in cascades, blade temperatures and stresses, performance of turbomachines.

MECG 7410 Theory of Turbulence Cr.Hrs.3 (Formerly 025.741) Development and application of statistical theories to isotropic, nonisotropic, and homogeneous turbulent fluid motion.

MECG 7420 Selected Topics in Turbulence Cr.Hrs.3 (Formerly 025.742) An extension of MECG 7410 (or 025.741) to investigate the specialized problems of turbulence such as space-time correlation functions and spectral transfer in constrained and unconstrained fluid flows.

MECG 7430 Stability of Flow Cr.Hrs.3 (Formerly 025.743) Methods of solution of the Orr-Sommerfield Equation by analytic and computer techniques. Application to jets, wakes, and boundary layers, including nonlinear effects.

025.750 Topics in Aerodynamics (3) A course dealing with special types of air flows potential, boundary layer, and mixed flows.

MECG 7790 Transport Phenomena in Porous Media Cr.Hrs.3 (Formerly 025.779) Single and multiphase flow in porous media. Porosity, permeability, capillary pressure, relative permeability, electrical properties.

MECG 7800 Topics in Porous Media Cr.Hrs.3 (Formerly 025.780) An extension of MECG 7790 (or 025.779) to allow investigation of special topics; e.g., computational methods, experimental techniques, mixed transport phenomena (diffusion/dispersion, conductive/convective heat transfer), advanced concepts, etc.

MECG 7940 Experimental Methods in Fluid Mechanics Cr.Hrs.3 (Formerly 025.794) Topics will be chosen from: Review of fluid mechanics, combustion and turbulence theory; role of experiments; conventional measurement methods for temperature, pressure and velocity; laser-based techniques for local and global velocity measurements (Laser Doppler Anemometry (LDA), Phase-Doppler Anemometry (PDA), Particle Image Velocimetry (PIV)); other laser-based techniques for imaging and concentration measurements in reacting and non-reacting single and two-phase flows.

Manufacturing and Production

MECG 7070 Automatic Controls (6) Control system theory. Synthesis and analysis of components and systems, including stability criteria, transfer functions of components, frequency response techniques, steady state and transient behaviour of systems. Operational methods and analog computer studies of system equations.

MECG 7510 Industrial Engineering Systems Cr.Hrs.3 (Formerly 025.751) Production engineering, equipment procurement decisions, plant layout and materials handling, optimization methods, models and simulation, control of engineering operations, data processing. Prerequisites: MECG 7520 (or 025.752) or 013.361.

MECG 7520 Industrial Engineering Cr.Hrs.4 (Formerly 025.752) Industrial engineering topics, such as value engineering, work measurement, quality control, inventory control scheduling. Prerequisite: MECH 4480 (or 025.448).

MECG 7590 Design of Motor Vehicles to Reduce Accident Severity Cr.Hrs.3 (Formerly 025.759) Application of principles of mechanics to the analysis of vehicle accidents; design and performance of tires, brakes, steering, suspension, and bodies; study of passenger injuries; designing of vehicles to minimize passenger injury; human factors in vehicle accidents.

MECG 7600 Selected Topics in Engineering Design Cr.Hrs.3 (Formerly 025.760) Lectures and seminars on selected advanced topics in the field of mechanical engineering design.

MECG 7660 Measurement Systems - Application and Design Cr.Hrs.3 (Formerly 025.766) A sufficiently broad coverage will be provided in both the use and the design of instruments in mechanical engineering and related fields. Analytical treatment of measurement methods and systems will also be covered. Analog-digital processing of measurements with special reference to modern computer-based instruments and computer-aided manufacturing will be provided. Prerequisite: MECH 3430 (or 025.343) Measurements and Control.

MECG 7670 Industrial Engineering Research Methods 1 Cr.Hrs.3 (Formerly 025.767) The course consists of assigned, appropriate Industrial Engineering R and D projects of applied nature, targeted to the needs of local industry, an in-depth review of the state of the art in the problem area under consideration. Close supervision is provided by the advisor and the representative of the industry involved. A detailed analysis and report will be presented.

MECG 7680 Advanced Operations Research Cr.Hrs.3 (Formerly 025.768) Formulations and algorithms for the following problems, set partitioning, set covering, clustering, location, layout, order picking, vehicle routing, vehicle scheduling. Applications of these problems to planning of manufacturing systems, scheduling of production, systems, materials handling systems and planning for warehouse and storage systems. Prerequisite: MECH 4760 (or 025.476) or consent of instructor.

MECG 7690 Computer Integrated Manufacturing Cr.Hrs.3 (Formerly 025.769) Basic concepts of microcomputer hardware and software with special emphasis on different manufacturing applications. These include data acquisition and analysis, machine monitoring and diagnostics, process control, robotics, machine tool control, automatic testing and quality control.

MECG 7700 Analysis and Design of Industrial Information Systems Cr.Hrs.3 (Formerly 025.770) Analysis of information flow for selected systems: production planning, engineering, warehouse operation, flight scheduling and garment industry. Analysis of user interface for information and decision support systems. Design of selected information and decision support systems. Integrating optimization models with information systems. Analysis and design of modern material requirements planning systems. Prerequisite: consent of instructor.

MECG 7710 Modelling and Design of Flexible Manufacturing Systems Cr.Hrs.3 (Formerly 025.771) Components of Flexible Manufacturing Systems (FMS), formulating and solving FMS design and operational problems. Interfacing FMS components and software design. Management of FMS project planning, design and implementation. Stochastic approach to FMS design and operation.

MECG 7720 Industrial Applications of Artificial Intelligence Cr.Hrs.3 (Formerly 025.772) Overview of artificial intelligence components and techniques. Analysis and design of intelligent systems for fabrication, machining, assembly and handling systems. Prerequisite: consent of instructor.

MECG 7730 Sequencing and Scheduling Cr.Hrs.3 (Formerly 025.773) Single and multiple machine unconstrained scheduling problems. Constructive algorithms for flow shops and job shop problems. Scheduling problems with due dates, start times and precedence constraints. Optimal and heuristic algorithms for solving scheduling problems. Application of scheduling and sequencing theory for solving a number of practical problems. Prerequisite: MECH 4760 (or 025.476).

MECG 7740 Selected Topics in Robot Technology Cr.Hrs.3 (Formerly 025.774) The role of digital computers and digital interface equipment in the control and operation of robots. Fundamentals of robot kinematics and coordinate systems. Various robotic sensing systems such as vision, tactile, proximity, ultrasonic. The selection of topics may change from time to time depending on student interest and advances in the field of robotic technology. Prerequisite: MECH 4840 (or 025.484) or consent of instructor.

MECG 7820 Queueing Systems in Engineering Cr.Hrs.3 (Formerly 025.782) Markov Process, renewal theory, birth-death process. Birth-death queueing systems in equilibrium; Markovian queues in equilibrium; the M/G/1 queue; Jackson networks; numerical methods in queueing; applications of queueing models to production, service, communication and traffic systems.

MECG 7840 Systems Modelling and Simulation Cr.Hrs.3 (Formerly 025.784) Topics may include: Models and Model Building. Mathematical Models: analytical solutions, numerical solutions, steady-state solutions. Modeling techniques: state models, linear graphs, bond graphs, transfer functions, large-scale models, linear vs nonlinear models. Simulation of Systems (discrete/continuous) on digital computers; numerical operations and algorithms. Simulation Languages (discrete/continuous) applied to analysis and design of dynamic and control systems, or, services and manufacturing systems. Prerequisite: consent of instructor.

MECG 7870 Human Factors: Theory, Dynamics and Design Cr.Hrs.3 (Formerly 025.787) Dynamics in Human Factors, Theoretical Fundamentals of Ergodynamics, Law of Transformations, Dynamics of Cognitive strategies, Information Systems: Ergonomic Analysis and Design, Transformation and Main Ergonomic Problems in Dynamic Manufacturing Technologies. Prerequisite: instructor's approval.

MECG 7880 Network Flow Problems in Engineering Cr.Hrs.3 (Formerly 025.788) Notations and Definitions, Network Representations and Transformations, Algorithm Design and Analysis, Shortest Paths, Maximum Flows, Minimum Cost Flows, Assignment and Matchings, Minimum Spanning Trees, Lagrangian Relaxation and Network Optimization, Multi-Commodity Flows, computational Testing of Algorithms, Applications. Prerequisites: MECH 3410 (or 025.341) and MECH 4760 (or 025.476).

MECG 7910 System Design for Robots and Teleoperators Cr.Hrs.3 (Formerly 025.791) Definitions and classification. Kinematics: transformations, forward and inverse kinematic solution methods, differential kinematic equations, motion trajectories. Dynamics: energy method vs. Newton-Euler formulation. Actuators; electric, hydraulics and pneumatics. Control: requirement and methods for control of robots and teleoperators. Prerequisites: MECH 3430 (or 025.343), MECH 3480 (or 025.348) or equivalent.

MECG 7950 Selected Topics for Productivity Improvement in Manufacturing Cr.Hrs.3 (Formerly 025.795) Will address techniques that can assist North American manufacturing and improve productivity in the global market place in the 21st century. Topics include: productivity techniques, quality, cost, manufacturing control and other pertinent issues.

Materials Science and Engineering

MECG 7280 Advanced Structural Metallurgy Cr.Hrs.3 (Formerly 025.728) Electronic structure of the elements and the periodic table, binding energy and atom arrangements in crystals, solid solution and intermediate phases (valency, electron and size factor compounds). Electron theories of metals, Brillouin Zones and Fermi Surface.

MECG 7290 Diffusion in Solids Cr.Hrs.3 (Formerly 025.729) Diffusion equations, atomic theory of diffusion, diffusion in dilute alloys, diffusion in a concentration gradient, diffusion in non-metals, high diffusivity paths, thermal diffusion, and electrolysis in solids.

MECG 7320 Defects in Crystals and Their Relation to Mechanical Properties of Metals Cr.Hrs.3 (Formerly 025.732) Dislocations and point defects in crystals and their role in the anelastic behaviour, plastic yielding, strain and alloy hardening, ductile and brittle fracture, recovery and recrystallization creep, fatigue, and radiation damage in metals.

MECG 7330 Phase Transformation in Solids Cr.Hrs.3 (Formerly 025.733) Advanced treatment of phase transformations in solids such as precipitation, eutectoid decomposition, and martensitic reactions.

MECG 7340 Corrosion and Oxidation of Metallic Materials Cr.Hrs.3 (Formerly 025.734) Topics include the electromechanical basis of corrosion, corrosion prevention by inhibitors, alloying and heat treatment passivity, stress corrosion crackling and fatigue, crack initiation and propagation, solid state chemistry including ionic and electronic conduction, and oxidation of metals and alloys.

MECG 7350 Research Topics in Physical Metallurgy and Metal Physics Cr.Hrs.3 (Formerly 025.735) Topics selected from recent researches in physical metallurgy and metal physics.

MECG 7370 Modern Research Techniques Cr.Hrs.3 (Formerly 025.737) Laboratory course designed to introduce the research student to a wide variety of equipment and techniques useful in metallurgical research, discussion, and laboratory.

MECG 7380 Electron Microscopy of Materials Cr.Hrs.3 (Formerly 025.738) Theory and practice of electron microscopy, with emphasis on the application of transmission technique to materials research.

MECG 7390 Dislocation Theory Cr.Hrs.3 (Formerly 025.739) Description of a dislocation; the stress field around a dislocation; forces on a dislocation; dislocation reactions in crystals, dislocation multiplication, pole mechanisms, twinning, stacking fault tetrahedron. Peierls force and related topics; image forces, interactions with point defects and other topics.

MECG 7400 Solidification of Metals and Alloys Cr.Hrs.3 (Formerly 025.740) The theory of solidification with respect to microstructure and solute distribution. Practical applications such as casting semiconductors and zone refining.

MECG 7610 Engineering Properties of Polymers Cr.Hrs.3 (Formerly 025.761) A survey of the physics of crystalline and amorphous polymers, including molecular weight distribution measurements, physics of rubber elasticity, theories of the glass transition, crystallinity measurements, crystallization kinetics, mechanical properties of crystalline and amorphous polymers.

MECG 7620 Fracture of Materials and Structures Cr.Hrs.3 (Formerly 025.762) Griffith criterion for crack propagation, stress intensity factors, plasticity effects, experimental methods for evaluation of criteria, J-integral, crack opening displacement. Microscopic aspects, dislocations at the crack tip, cleavage fracture, nil ductility temperature. Fatigue, creep, stress corrosion cracking.

MECG 7920 Engineering Mechanics of Composite Materials Cr.Hrs.3 (Formerly 025.792) Brief overview of composites; constituents; properties; processing and application; micro-mechanics of reinforcement; elastic behaviour of unidirectional lamina; strength of unidirectional lamina; elastic behaviour of multi-directional laminates; stress and failure analysis of multidirectional laminates; hygrothermal effects and durability; introduction to textile composites.

Ancillary courses from other departments:

GEOL 3510 X-ray Crystallography (3)

CHEM 2300 Physical Chemistry (6)

PHYS 4520 Introduction to Solid State Physics (3)

PHYS 7120 Physics of Solids (6)

PHYS 7280 Diffraction Theory and Techniques 2 (3)

Applied Mechanics

MECG 7260 Theory of Vibrations Cr.Hrs.3 (Formerly 025.726) The formulation of vibration problems using variational principles; matrix formulation of the free and forced vibrations of discrete and continuous systems; the effect of damping; approximate methods for solving the equations of motion; numerical techniques.

MECG 7270 Advanced Vibrations Cr.Hrs.3 (Formerly 025.727) The finite element method; random vibrations. Prerequisite: MECG 7260 (or 025.726).

MECG 7280 Advanced Structural Metallurgy Cr.Hrs.3 (Formerly 025.728) Electronic structure of the elements and the periodic table, binding energy and atom arrangements in crystals, solid solution and intermediate phases (valency, electron and size factor compounds). Electron theories of metals, Brillouin Zones and Fermi Surface.

MECG 7320 Defects in Crystals and Their Relation to Mechanical Properties of Metals Cr.Hrs.3 (Formerly 025.732) Dislocations and point defects in crystals and their role in the anelastic behaviour, plastic yielding, strain and alloy hardening, ductile and brittle fracture, recovery and recrystallization creep, fatigue, and radiation damage in metals.

MECG 7360 Instrumentation Cr.Hrs.3 (Formerly 025.736) A seminar course to provide students in departments other than Electrical Engineering with background knowledge necessary to make effective use of electronic instrumentation in research.

MECG 7450 Biomechanics Cr.Hrs.3 (Formerly 025.745) Topics in kinematics related to normal gait and prosthetic devices; properties of materials used for prostheses; arterial, bone, and composite materials, including design and manufacturing methods. Prerequisite: the former courses 025.213 or ECE 2090 (or 024.209) or consent of instructor.

MECG 7760 Advanced Solid Mechanics Cr.Hrs.3 (Formerly 025.776) Selected advanced topics in solid mechanics; e.g., relationship between solid physics and solid mechanics, mechanical properties for static, low- and high-cycle fatigue, failure theories and mechanisms, theory of shell structures, numerical methods, applications.

MECG 7770 Computer-Aided Engineering Cr.Hrs.3 (Formerly 025.777) Principles and mathematical formulation of computer-aided design, manufacturing and database management systems; related topics pertinent to computer integrated design and manufacturing systems.

MECG 7780 Selected Topics in Engineering Mechanics Cr.Hrs.3 (Formerly 025.778) Lectures and seminars on selected advanced topics in engineering mechanics such as space dynamics, orbital mechanics and kineto-elastodynamics, current problems, implications in current research.

MECG 7830 Computational Mechanics Cr.Hrs.3 (Formerly 025.783) Continuum Mechanics, Hyperelasticity, Theory of Plasticity, Finite element modelling of nonlinear problems and time-dependent material representation. Prerequisites: consent of instructor.

MECG 7850 Applied Finite Element Method Cr.Hrs.3 (Formerly 025.785) Weighted Residuals, Boundary versus Finite Element Method, Conventional and Special elements, Equality and Inequality Constraints, Error Estimates, Self-adaptive Techniques and Mixed Formulations. Prerequisites: CIVL 4240 (or 023.424) or instructor approval.

MECG 7930 Advanced Non-Linear Systems Analysis Cr.Hrs.3 (Formerly 025.793) Topics may include (i) Modelling of Constrained Dynamic Systems, including derivation of dynamic equations for constrained systems using Lagrangian equations and/or Newton-Euler equations; (ii) Advanced Stability Theories, including construction of Lyapunov functions and Lyapunov's stability control; and (iii) Introduction to Analysis of Non-smooth Systems, including Filippov's solution analysis and extended Lyapunov's stability theory to non-smooth systems. Applications to computer modelling of bipedal locomotion, analysis of robotic contact tasks and stability analysis of power systems will be addressed.

Ancillary Courses from other departments:

CIVL 7080 Experimental Stress Analysis (3)

CIVL 7290 Theory of Shells (3)

CIVL 7390 Theory of Plasticity (3)

CIVL 7590 Theory of Elasticity (3)

CIVL 7610 Special Topics in Theoretical and Applied Mechanics (3)

CIVL 7880 Continuum Mechanics (3)