Catalog
Description:
Derivation, interpretation, and application to engineering problems of the
principles of virtual work and complementary virtual work. Related theorems such
as the principles of the stationary value of the total potential and
complementary energy, Castigliano's Theorems, theorem of least work and unit
force and displacement theorems. Introduction to generalized, extended, mixed,
and hybrid principles. Variational methods of approximation, Hamilton's
principle, and Lagrange's equations of motion. Approximate solution to problems
in structural mechanics by use of variational theorems.
Course
Philosophy:
Energy principles form the basis for many methods (including finite element
methods) that are widely used in structural mechanics. Understanding these
principles requires an indepth look at the principles. We will attempt to take
the "scenic route", to encourage you to consider the principles and methods in
depth.
