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Associate Professor
Ph.D. Ecole Centrale de Nantes, France
M.Eng. Ecole Centrale de Nantes, France
Macdonald Engineering Building, Room聽160 Map
514 398 6349 [office]
mathias.legrand [at] mcgill.ca (Email)
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Research Interests
Primary Research Theme : Vibrations, Acoustics, and Fluid-Structure Interaction
Research Group/Lab :
My research work is concerned with theoretical knowledge as well as the development of new tools and methods capable of bringing solutions to practical problems in the industrial sphere.
Related research and education are focused on Structural Dynamics, Nonlinear and Nonsmooth Vibrations, Reduced-order models, and Wave Propagation.
Current Research Projects
- Nonsmooth vibrations of flexible structures.
- Reduced-order models for nonlinear dynamics.
- Stability analysis of non-smooth systems.
- Time-marching techniques for large-scale systems.
- Unilateral contact and friction in aircraft and helicopter engines.
- linear and nonlinear rotordynamics.
Courses
MECH 309. Numerical Methods in Mechanical Engineering.
Credits: 3
Offered by: Mechanical Engineering (Faculty of Engineering)
This course is not offered this catalogue year.
Description
Numerical techniques for problems commonly encountered in Mechanical Engineering are presented. Chebyshev interpolation, quadrature, roots of equations in one or more variables, matrices, curve fitting, splines and ordinary differential equations. The emphasis is on the analysis and understanding of the problem rather than the details of the actual numerical program.
- (3-1-5)
- Prerequisites: MATH 263, MATH 271, COMP 208.
Most students use Visual Schedule Builder (VSB) to organize their schedules. VSB helps you plan class schedules, travel time, and more.
MECH 321. Mechanics of Deformable Solids.
Credits: 3
Offered by: Mechanical Engineering (Faculty of Engineering)
This course is not offered this catalogue year.
Description
Modern phenomenological theories of the behaviour of engineering materials. Stress and strain concepts and introduction to constitutive theory. Applications of theory of elasticity and thermoelasticity. Introduction to finite element stress analysis method and its application to structural design of a machine element.
- (3-1-5)
- Prerequisite: CIVE 207
Most students use Visual Schedule Builder (VSB) to organize their schedules. VSB helps you plan class schedules, travel time, and more.
MECH 546. Finite Element Methods in Solid Mechanics.
Credits: 3
Offered by: Mechanical Engineering (Faculty of Engineering)
This course is not offered this catalogue year.
Description
Discrete systems; variational formulation and approximation for continuous systems; direct and variational methods of element formulation in 1- 2- and 3 dimensions; formulation of isoparametric finite elements; plate and shell elements; finite element method for static analysis, vibration analysis and structural dynamics; introduction to nonlinear problems.
- (3-0-6)
- Prerequisites: MECH 315 or MECH 419, and MECH 321, or instructor's permission.
- Restriction: Not open to students who have taken MECH 645.
Most students use Visual Schedule Builder (VSB) to organize their schedules. VSB helps you plan class schedules, travel time, and more.
MECH 605. Applied Mathematics 1.
Credits: 4
Offered by: Mechanical Engineering (Graduate Studies)
This course is not offered this catalogue year.
Description
Tensor Analysis, Gauss and Stokes Theorems, Complex Functions, Laplace and Fourier transforms, Linear Algebra, Initial and Boundary Value Problems for ODE's, Partial Differential Equations including elliptic, parabolic and hyperbolic, Sturm-Liouville theory, Eigenvalue problems, Galerkin Method, Green's Functions and transform methods.
Most students use Visual Schedule Builder (VSB) to organize their schedules. VSB helps you plan class schedules, travel time, and more.