ES 536- Energy Methods

Fall, 2000

Course Information

Topics:

Force Fields. Work. Principles of dynamics. Elements of calculus of variations, variational principles for discrete systems. Elements of the mechanics of continua. Hellinger, Reissner and Hamilton principles, Castigliano's theorem, theorems of work and reciprocity. Variational Methods of Approximation. (Ritz, Weighted-Residual Methods: Galerkin, Least Squares, Collocation, Subdomain, Kantorovich, Trefftz methods, FEM). Application to elastic rods, structural systems, elastic plates and shells. Stability.

References:

1. Energy and Variational Methods in Applied Mechanics, J. N. Reddy, 1984

2. Energy Methods in Applied Mechanics, H. L. Langhaar, 1962

3. Solid Mechanics: A Variational Approach, Clive L. Dym, Irving H. Shames, 1973 McGraw-Hill

4. Variational Methods in Elasticity and Plasticity, Washizu, K., 1982, 3^rd edition, Pergamon Press, New York.

5. Methods of Applied Mathematics, F. B. Hildebrand, 2nd edition, 1965 Prentice-Hall, Inc.

Return to the main menu.