Langhaar H.L. Energy Methods in Applied Mechanics

Wiley, 1962. — 350 p.Students of engineering usually receive only fragmentary instruction in the important principles of classical mechanics, stemming from the works of Huygens, Leibniz, Bernoulli, and Lagrange, which assign a central role to the concepts of work, potential energy, and kinetic energy. These laws, designated as "energy principles of mechanics," are sufficiently general to allow Newton's second law to be deduced from them. An integrated and modern treatment of energy principles of mechanics, with applications to dynamics of rigid bodies, analyses of elastic frames, general elasticity theory, the theories of plates and shells, the theory of buckling, and the theory of vibrations, is undertaken in this work.
The book has been planned for a two-semester course in advanced mechanics for graduate students. In addition, it may be used for independent study and for reference purposes. A sound course in advanced calculus, the rudiments of Gibb's vector theory, some knowledge of advanced strength of materials, and the fundamentals of elasticity theory are prerequisites. The student who has mastered these subjects will not find the mathematics too difficult.General concepts and principles of mechanics
Elastic beams and frames
Methods of the calculus of variations
Deformable bodies
Theory of plates and shells
Theory of buckling
Hamilton's principle and the equations of Lagrange and Hamilton
Theory of vibrations