Modal analysis

Abstract

This chapter presents the modal analysis of lumped-parameter mechanical vibrating systems. In the considered systems, inertia, flexibility, and damping characteristics are lumped at a finite number of discrete points in the system. Techniques for determining the natural frequencies and mode shapes of vibration are given. The orthogonality of mode shapes is established. The existence of natural modes in damped systems is investigated. Proportional damping is discussed. Both free vibration and forced vibration of multi-degree-of-freedom (multi-DoF) systems are analyzed.