# Applied Mechanics

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

**CE/Ae/AM 108 ab. Computational Mechanics. ***9 units (3-5-1). *For course description, see Civil Engineering.

**AM/ACM 127. Calculus of Variations. ***9 units (3-0-6); third term. Prerequisites: ACM 95/100. *First and second variations; Euler-Lagrange equation; Hamiltonian formalism; action principle; Hamilton-Jacobi theory; stability; local and global minima; direct methods and relaxation; isoperimetric inequality; asymptotic methods and gamma convergence; selected applications to mechanics, materials science, control theory and numerical methods. Not offered 2018–19.

**AM/CE/ME 150 abc. Graduate Engineering Seminar. ***1 unit; each term; first, second, third terms. *Students attend a graduate seminar each week of each term and submit a report about the attended seminars. At least four of the attended seminars each term should be from the Mechanical and Civil Engineering seminar series. Students not registered for the M.S. and Ph.D. degrees must receive the instructor’s permission. Graded pass/fail. Instructor: Staff.

**AM/CE 151 ab. Dynamics and Vibration. ***9 units (3-0-6); first, second terms. *Equilibrium concepts, conservative and dissipative systems, Lagrange’s equations, differential equations of motion for discrete single and multi degree-of-freedom systems, natural frequencies and mode shapes of these systems (Eigen value problem associated with the governing equations), phase plane analysis of vibrating systems, forms of damping and energy dissipated in damped systems, response to simple force pulses, harmonic and earthquake excitation, response spectrum concepts, vibration isolation, seismic instruments, dynamics of continuous systems, Hamilton’s principle, axial vibration of rods and membranes, transverse vibration of strings, beams (Bernoulli-Euler and Timoshenko beam theory), and plates, traveling and standing wave solutions to motion of continuous systems, Rayleigh quotient and the Rayleigh-Ritz method to approximate natural frequencies and mode shapes of discrete and continuous systems, frequency domain solutions to dynamical systems, stability criteria for dynamical systems, and introduction to nonlinear systems and random vibration theory. Instructors: Asimaki, Daraio.

**AM/ME 165. Finite Elasticity. ***9 units (3-0-6); third term. Prerequisites: Ae/Ge/ME 160 a. *Finite theory of elasticity: constitutive theory, semi-inverse methods. Variational methods. Applications to problems of current interest. Instructors: Bhattacharya.

**AM 200. Advanced Work in Applied Mechanics.** *Hours and units by arrangement.* A faculty mentor will oversee a student proposed, independent research or study project to meet the needs of graduate students. Graded pass/fail. The consent of a faculty mentor and a written report is required for each term of work.

**AM 201. Advanced Topics in Applied Mechanics.** *9 units (3-0-6).* The faculty will prepare courses on advanced topics to meet the needs of graduate students.

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

**Ae/AM/CE/ME 214 ab. Computational Solid Mechanics. ***9 units (3-5-1). *For course description, see Aerospace.

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

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

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

**AM 300. Research in Applied Mechanics. ***Hours and units by arrangement. Research in the field of applied mechanics.* By arrangement with members of the staff, properly qualified graduate students are directed in research.