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Instruction offered by members of the Department of Mechanical and Manufacturing Engineering in the Schulich School of Engineering.
Department Head – R. Hugo
Director (Mechanical Engineering Program) - L. Sudak
Director (Graduate Program, Mechanical and Manufacturing Engineering) – A. Ramirez-Serrano
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Mechanical Engineering
603
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Physical Fluid Dynamics
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Physical phenomena of incompressible fluid motion for a variety of flows, e.g. pipe and channel flow, flow past a cylinder, and convection in horizontal layers. The derivation of the basic equations of fluid mechanics using Cartesian tensor notation. High and low Reynolds number flows including some solutions of the viscous flow equations, inviscid flow, and elementary boundary layer theory. Thermal free convective flows.
Course Hours:
H(3-0)
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Mechanical Engineering
605
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Combustion Processes
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Review of thermodynamics and chemical kinetics of combustion. Fluid mechanics, heat and mass transfer in combustion phenomena. Autoignition and source ignition, flames and detonation. Quenching and explosion hazards, flammability and detonation limits. Heterogeneous combustion, combustion practical systems, combustion as affecting pollution and efficiency, some experimental combustion methods.
Course Hours:
H(3-0)
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Mechanical Engineering
607
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Mechanics of Compressible Flow
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One-dimensional steady and unsteady motion with application to the analysis of supersonic nozzles, diffusers, flow in conduits with friction, shock tubes. Two-dimensional flow of ideal fluid. Small perturbation theory, method of characteristics with application to design of supersonic nozzles. Waves in two-dimensional flow.
Course Hours:
H(3-0)
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Mechanical Engineering
613
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Research Seminar I
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Reports on studies of the literature or of current research. This course is compulsory for all MSc and thesis-route MEng students and must be completed before the thesis defence.
Course Hours:
H(3S-0)
NOT INCLUDED IN GPA
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Mechanical Engineering
615
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Instrumentation
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Basic principles relating to measurement systems. Static and dynamic characteristics of signals. Measurement system behaviour. Application of probability and statistics to measurement systems. Uncertainty analysis. Data acquisition: analog/digital devices and sampling theory. Application of theory to various measurement systems such as pressure, velocity, strain, concentration, temperature.
Course Hours:
H(3-0)
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Mechanical Engineering
619
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Special Problems
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Designed to provide graduate students, especially at the PhD level, with the opportunity of pursuing advanced studies in particular areas under the direction of a faculty member. Students would be required to consider problems of an advanced nature.
Course Hours:
H(3-0)
MAY BE REPEATED FOR CREDIT
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Mechanical Engineering
631
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Numerical Methods for Engineers
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Introduction, mathematical modelling, sources of errors in the process of numerical analysis and solution methodology; Elements of numerical analysis, Taylor series, round-off error, truncation error, concept of stability, consistency and convergence; Linear algebra, normal forms, Gauss elimination method, LU-decomposition, tridiagonal systems of equations; iterative methods, Jacobi, Gauss-Seidel, SOR, SSOR methods, conjugate gradient methods and preconditioning and principles of the multi-grid methods; Elliptic "equilibrium" equation, Laplace and Poisson equations, finite difference and finite control volume concepts and stability analysis; Parabolic equations: explicit, implicit and Crank-Nicolson methods, time-splitting method, method of lines, Stability analysis; Hyperbolic equations; Introduction to other methods; future challenging problems.
Course Hours:
H(3-0)
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Mechanical Engineering
633
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Mathematical Techniques for Engineers
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Application of mathematical techniques to the solution of ordinary and partial differential equations arising in engineering problems. Methods that will be considered are: separation of variables, method of characteristics, transform methods and complex variable methods.
Course Hours:
H(3-0)
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Mechanical Engineering
637
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Thermal Systems Analysis
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Fundamentals of thermodynamics, fluid mechanics and heat transfer; thermal and energy systems, heat exchangers, co-generation; Second law of thermodynamics and concept of entropy generation and thermo-economics; Environmental issues and pollution control; Renewable energy system; Co-generation design; Heat exchanger design; Energy storage systems; Optimization process.
Course Hours:
H(3-0)
Prerequisite(s):
Engineering 311 and Energy and Environment, Engineering 311 or equivalent.
Also known as:
(Environmental Engineering 673)
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Mechanical Engineering
639
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Numerical Methods for Computational Fluid Dynamics
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Review of solution techniques for ordinary differential equations. Stability, consistency and convergence. Order of accuracy. Fourier methods for stability. Numerical techniques for one,- two- and three-dimensional linear parabolic problems. Courant condition. Implicit and semi-implicit schemes. Boundary conditions for parabolic problems. Techniques for linear hyperbolic problems. CFL condition. Characteristics, domain of dependence and domain of influence. Boundary conditions for hyperbolic problems. Nonlinear conservation laws. The Burger's equation as a test problem. Strong and weak solutions. Conservative and integral forms. Conservative schemes. Entropy condition. Godunov theorem and flux limiters. Godunov, ENO and TVD schemes. Implementation in gas dynamics.
Course Hours:
H(3-0)
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Mechanical Engineering
641
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Advanced Control Systems
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Introduction to multivariable systems; state space models; analysis of linear systems; stability; Cayley-Hamilton theorem; controllability and observability; state feedback control; pole placement designs; introduction to linear optimal control and estimation; Kalman filtering; separation theorem and duality; performance specifications; controller reduction concepts; introduction to robust control.
Course Hours:
H(3-0)
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Mechanical Engineering
643
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Optimal and Adaptive Control
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Discrete time and sampled-data system models and properties; discrete time domain controller design principles; system identification using least-squares analysis; self-tuning control; indirect adaptive control; model reference adaptive control; sliding mode control in continuous and discrete time; optimal design of sliding mode controllers; sensitivity functions and their role in control theoretic performance specification; robust stability and robust performance objectives; Kharitonov stability.
Course Hours:
H(3-0)
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Mechanical Engineering
650
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Mobile Robotics
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Overview of Unmanned vehicles, Mobile robot locomotion systems, Wheeled rovers, Walking machines, Mobile-manipulators, Mobile robot sensors and actuators, Simulation, modelling and analysis of mobile robot behaviour, Robot-environment interaction analysis, 2D navigation techniques and localization, Mobile robot simulation tools.
Course Hours:
H(3-0)
Prerequisite(s):
Mechanical Engineering 645, or equivalent.
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Mechanical Engineering
653
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Continuum Mechanics in Engineering
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Review of linear algebra and tensor analysis; kinematics of the deformation; deformation and strain tensors; strain rates; balance equations and equations of motion; stress principle; stress power and conjugated stress-strain couples; stress rates; elements of Lagrangian and Hamiltonian Mechanics for discrete and continuum systems; thermomechanics and constitutive theory; isotropic and anisotropic hyperelasticity; composite materials.
Course Hours:
H(3-0)
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Mechanical Engineering
663
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Advanced Biomechanics
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Theoretical and applied aspects of biomechanics in the acquisition and performance of sport skills.
Course Hours:
H(3-0)
Prerequisite(s):
Consent of the Faculty.
Also known as:
(Medical Science 663)(Kinesiology 663)
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Mechanical Engineering
665
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Elements of Materials Engineering
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The course covers a variety of material aspects and provides a fundamental understanding of Materials Science and Engineering. The course emphasizes the understanding of advanced dislocation theory and its application in illustration of diffusion, deformation and fracture of metals. Fundamentals of material strengthening mechanisms are covered. Practical aspects that are relevant to material uses and failures, such as environmental-induced cracking, creep, fatigue, strain aging and corrosion, are discussed. Typical surface analysis techniques for material characterization are introduced.
Course Hours:
H(3-0)
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Mechanical Engineering
667
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Fracture Mechanics
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Basic fracture theory, failure criteria, overview of fracture mechanics, brittle and ductile failure, crack tip parameters, geometric considerations, methods of analysis, fracture toughness and testing standards. Applications in design, fatigue subcritical crack growth, creep and impact.
Course Hours:
H(3-0)
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Mechanical Engineering
669
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Fatigue of Materials
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History and origin of fatigue. Stress life, strain life and fracture mechanics approaches. Low and high cycle fatigue. Low and high temperature fatigue. Combined stresses, initiation, and propagation of cracks. Environmental and statistical effects. Testing techniques and variables. Design and specific material behaviour. Mechanisms of fatigue.
Course Hours:
H(3-0)
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Mechanical Engineering
683
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Applications of 3D Rigid Body Mechanics in Biomechanics
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Applications of 3D motion analysis and rigid body mechanics to musculoskeletal system locomotion, and movement. Experimental, theoretical and numerical methods for optical motion imaging, 3D analysis of joint kinematics and kinetics, joint angle representations, prediction of joint forces, data analysis and filtering, error propagation, inverse and forward dynamics approaches, and applications to clinical and orthopaedic engineering.
Course Hours:
H(3-0)
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Mechanical Engineering
685
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Biomechanics of Human Movement
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Introduction to the measuring methods (accelerometry, goniometry, film and film analysis, video systems) of biomechanical analysis of human movement (force and force distribution). Description of the mechanical properties of bone, tendon, ligaments, cartilage, muscles and soft tissues. The relation between structure and function of biomaterials. Introduction to descriptive analysis of human movement.
Course Hours:
H(3-3)
Prerequisite(s):
Consent of the Faculty.
Antirequisite(s):
Credit for more than one of Mechanical Engineering 685, Medical Science 685 and Kinesiology 685 is not allowed.
Also known as:
(Medical Science 685)
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Mechanical Engineering
698
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Graduate Project
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Individual project in the student's area of specialization under the guidance of the student's supervisor. A written proposal, one or more written progress reports, and a final written report are required. An oral presentation is required upon completion of the course. Open only to students in the MEng (courses only) program.
Course Hours:
F(0-4)
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Mechanical Engineering
713
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Research Seminar II
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Reports on studies of the literature or of current research. This course is compulsory for all PhD students and must be completed before the candidacy examination.
Course Hours:
H(3S-0)
NOT INCLUDED IN GPA
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Courses of Instruction