Applied Mechanics

Ae/AM/CE/ME 102 abc. Mechanics of Structures and Solids. 9 units (3-0-6). For course description, see Aeronautics.

CE/Ae/AM 108 abc. Computational Mechanics. 9 units (3-0-6). For course description, see Civil Engineering.

AM 125 abc. Engineering Mathematical Principles. 9 units (3-0-6); first, second, third terms. Prerequisite: ACM 95/100 abc. Topics include linear spaces, operators and matrices, integral equations, variational principles, ordinary and partial differential equations, stability, perturbation theory. Applications to problems in engineering and science are stressed. Instructor: Beck.

AM 151 abc. Dynamics and Vibrations. 9 units (3-0-6); first, second, third terms. Prerequisite: ACM 95/100 abc or instructor’s permission. Variational principles and Lagrange’s equations. Response of mechanical systems to periodic, transient, and random excitation. Free and forced response of discrete and continuous systems. Approximate analysis methods. Introduction to nonlinear oscillation theory and stability. Instructor: Staff.

AM/ME 165 ab. Elasticity. 9 units (3-0-6); second, third terms. Prerequisites: Ae/Ge/ME 160 a and registered in Ae/Ge/ME 160 b. Fundamental concepts and equations of elasticity. Linearized theory of elastostatics and elastodynamics: basic theorems and special solutions. Finite theory of elasticity: constitutive theory, semi-inverse methods. Variational methods. Applications to problems of current interest. Not offered 2005–06.

AM 175 abc. Advanced Dynamics. 9 units (3-0-6); first, second, third terms. Prerequisites: AM 125 abc and AM 151 abc or equivalents. Topics include linear and nonlinear vibrations of discrete and continuous systems, stability and control of dynamical systems, and stochastic processes with applications to random vibrations. Not offered 2005–06.

AM 176 abc. Nonlinear Dynamical Systems and Chaos. 9 units (3-0-6); first, second, third terms. Prerequisite: AM 125 abc or instructor’s permission. Basic ideas from dynamical systems theory. One- dimensional maps, circle maps, rotation numbers, kneading theory, strange attractors, structural stability, hyperbolicity, symbolic dynamics, invariant manifolds, Poincaré maps, the Smale horseshoe. Techniques of local bifurcation theory are developed with emphasis on center manifolds and normal forms, global bifurcations, chaos, homoclinic and heteroclinic motions. Applications will be taken from a variety of areas, including fluid mechanics, structural mechanics, control theory, circuit theory, orbital mechanics, condensed-matter physics, and classical field theory. Not offered 2005–06, but see CDS 140.

AM 200. Special Problems in Advanced Mechanics. Hours and units by arrangement. By arrangement with members of the staff, properly qualified graduate students are directed in independent studies in mechanics.

Ae/AM/MS/ME 213. Mechanics and Materials Aspects of Fracture. 9 units (3-0-6). For course description, see Aeronautics.

Ae/AM/CE/ME 214 abc. Computational Solid Mechanics. 9 units (3-0-6). For course description, see Aeronautics.

Ae/AM/ME 215. Dynamic Behavior of Materials. 9 units (3-0-6). For course description, see Aeronautics.

Ae/AM/ME 223. Plasticity. 9 units (3-0-6). For course description, see Aeronautics.

Ae/AM/ME 225. Special Topics in Solid Mechanics. Units to be arranged. For course description, see Aeronautics.

AM 250. Research in Applied Mechanics. Hours and units by arrangement. Research in the field of applied mechanics. By arrange- ment with members of the staff, properly qualified graduate students are directed in research.