structures will also be addressed. ENME 664 Dynamics (3) Prerequisite: ENES 221 or equivalent or permission of instructor. Kinematics in plane and space; Dynamics of particles, system of particles, and rigid bodies. Holonomic and non-holonomic constraints. Newton’s equations, D’Alembert’s principle, Hamilton’s principle, and equations of Lagrange. Impact and collisions. Stability of equilibria. ENME 665 Advanced Topics in Vibrations (3) Prerequisite: ENME 662 or permission of instructor. Nonlinear oscillations and dynamics of mechanical and structural systems. Classical methods, geometrical, computational, and analytical methods. Bifurcations of equilibrium and periodic solutions; chaos. ENME 666 Modal Analysis and Testing (3) Prerequisite: ENME 662 or permission of instructor. Development of linear discrete models of mechanical systems and structures, forced response using modal summation and state space models, digital signal processing, model testing techniques, modal parameters estimation, model refinement using modal test data. ENME 667 Turbulence Simulations (3) Credit only granted for: ENME667 or ENME808Q. Formerly: ENME808Q. The objective is to teach students the role and limitations of numerical methods for the solution of turbulent flows. Emphasis will be placed on the development of best practices to validate the numerical results. Applications to incompressible, compressible and reacting flows will be discussed. ENME 670 Continuum Mechanics (3) Mechanics of deformable bodies, finite deformation and strain measures, kinematics of continua and global and local balance laws. Thermodynamics of continua, first and second laws. Introduction to constitutive theory for elastic solids, viscous fluids and memory dependent materials. Examples of exact solutions for linear and hyper elastic solids and Stokesian fluids. ENME 671 Deformable Bodies (3) Credit only granted for: ENME671, ENME808Y, or ENME489Y. Formerly: ENME808Y. Covers advanced concepts in material behavior, including plasticity, fracture, fatigue, and time-dependent material behavior. Concepts will be developed mathematically and completely in 3-D using tensorial analysis. ENME 672 Composite Materials (3) Micro mechanics of advanced composites with passive and active reinforcements, mathematical models and engineering implications, effective properties, damage mechanics, and recent advances in “adaptive” or “smart” composites. ENME 673 Energy and Variational Methods in Applied Mechanics (3) Application of variational principles to mechanics. Includes virtual work, potential energy, strain energy, Castigliano’s generalized complementary energy, and the principles of Hellinger-Reissner and HamiltonLegendre transforms and the foundations of the calculus of variations. Singularities and stability in potential energy function. Applications to rigid, linear and non-linear elastic, and non-conservative examples. Approximation techniques such as Ritz, Petrov-Galerkin, least-squares, etc. Presents the basis for the finite element method. ENME 674 Finite Element Methods (3) Theory and application of finite element methods for mechanical engineering problems such as stress analysis, thermal and fluid flow analysis, electromagnetic field analysis and coupled boundary-value problems for “smart” or “adaptive” structure applications, and stochastic finite element methods. ENME675 Mathematical Introduction to Robotics (3) Credit only granted for: ENME675 or ENME808V. Formerly: ENME808V. Designed to provide graduate students with some of the 58
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