Principles and Techniques of Vibrations

This work presents a mathematically rigorous approach to vibrations - one that not only permits efficient formulations and solutions to problems, but also contributes to the understanding of the physics of the problem. It provides a broad and rigorous treatment of the principles of analytical dynamics. The significant progress made sinc the 1960s in the treatment of discrete systems and in approximate techniques for distributed systems is discussed, with a full chapter on the finite element method.