ME 329: Mechanical Analysis in Design
This project based course will cover the application of engineering analysis methods learned in the Mechanics and Finite Element series to real world problems involving the mechanical analysis of a proposed device or process. Students work in teams, and each team has the goal of solving a problem defined jointly with a sponsoring company or research group. Each team will be mentored by a faculty mentor and a mentor from the sponsoring organization. The students will gain experience in the formation of project teams; interdisciplinary communication skills; intellectual property; and project management. Course has limited enrollment.
Terms: Win

Units: 3

Grading: Letter (ABCD/NP)
Instructors:
Lew, A. (PI)
ME 330: Advanced Kinematics
Kinematics from mathematical viewpoints. Introduction to algebraic geometry of point, line, and plane elements. Emphasis is on basic theories which have potential application to mechanical linkages, computational geometry, and robotics.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Roth, B. (PI)
ME 331A: Advanced Dynamics & Computation
Newton, Euler, momentum, and roadmap methods and computational tools for 3D force and motion analysis of multibody systems. Power, work, and energy. Numerical solutions (e.g., MATLAB, etc.) of nonlinear algebraic and differential equations governing the static and dynamic behavior of multiple degree of freedom systems.
Terms: Win

Units: 3

Grading: Letter (ABCD/NP)
ME 331B: Advanced Dynamics, Simulation & Control
Advanced methods and computational tools for the efficient formulation of equations of motion for multibody systems. D'Alembert principle. Power, work, and energy. Kane's and Lagrange's method. Computed torque control. Systems with constraints. Quaternions. Numerical solutions (e.g., MATLAB, etc.) of nonlinear algebraic and differential equations governing the behavior of multiple degree of freedom systems. Teambased computational multibody lab project (inclusion of feedforward control optional).
Terms: not given this year

Units: 3

Grading: Letter (ABCD/NP)
ME 332: Introduction to Computational Mechanics (CME 232)
Provides an introductory overview of modern computational methods for problems arising primarily in mechanics of solids and is intended for students from various engineering disciplines. The course reviews the basic theory of linear solid mechanics and introduces students to the important concept of variational forms, including the principle of minimum potential energy and the principles of virtual work. Specific model problems that will be considered include deformation of bars, beams and membranes, plates, and problems in plane elasticity (plane stress, plane strain, axisymmetric elasticity). The variational forms of these problems are used as the starting point for developing the finite element method (FEM) and boundary element method (BEM) approaches providing an important connection between mechanics and computational methods.
Terms: not given this year

Units: 3

Grading: Letter (ABCD/NP)
ME 333: Mechanics
Goal is a common basis for advanced mechanics courses. Introduction to variation calculus. Formulation of the governing equations from a Lagrangian perspective for finite and infinite dimensional mechanical systems. Examples include systems of particles and linear elastic solids. Introduction to tensors. Definition and interpretation of Cauchy stress tenor.
Terms: not given this year

Units: 3

Grading: Letter or Credit/No Credit
ME 333A: Mechanics  Fundamentals and Lagrangian Mechanics
Goal is a common basis for advanced mechanics courses. Introduction to variational calculus. Formulation of the governing equations from a Lagrangian perspective for finite and infinite dimensional mechanical systems. Examples include systems of particles and linear elastic solids. Introduction to tensors. Definition and interpretation of Cauchy stress tensor.
Terms: Aut

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Lew, A. (PI)
ME 333B: Mechanics  Elasticity and Inelasticity
Introduction to the theories of elasticity, plasticity and fracture and their applications. Elasticity: Definition of stress, strain, and elastic energy; equilibrium and compatibility conditions; and formulation of boundary value problems. Stress function approach to solve 2D elasticity problems and Greenâs function approach in 3D. Applications to contact and crack. Plasticity: Yield surface, associative flow rule, strain hardening models, crystal plasticity models. Applications to plastic bending, torsion and pressure vessels. Fracture: Linear elastic fracture mechanics, Jintegral, DugdaleBarrenblatt crack model. Applications to brittle fracture and fatigue crack growth. Computer programming in Matlab is used to aid analytic derivation and numerical solutions.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Cai, W. (PI)
;
Akhondzadeh, H. (TA)
ME 333C: Mechanics  Continuum Mechanics
Introduction to linear and nonlinear continuum mechanics of solids. Introduction to tensor algebra and tensor analysis. Kinematics of motion. Balance equations of mass, linear and angular momentum, energy, and entropy. Constitutive equations of isotropic and anisotropic hyperelastic solids. Introduction to numerical solution techniques.
Terms: Spr

Units: 3

Grading: Letter or Credit/No Credit
ME 335A: Finite Element Analysis
Fundamental concepts and techniques of primal finite element methods. Method of weighted residuals, Galerkin's method and variational equations. Linear eliptic boundary value problems in one, two and three space dimensions; applications in structural, solid and fluid mechanics and heat transfer. Properties of standard element families and numerically integrated elements. Implementation of the finite element method using Matlab, assembly of equations, and element routines. Lagrange multiplier and penalty methods for treatment of constraints. The mathematical theory of finite elements.
Terms: Aut

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Pinsky, P. (PI)
;
Hwang, Y. (TA)
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