Chapter 8 - Modal and Transient Dynamic Analysis

Abstract

In this chapter, two typical dynamic analyses, namely the modal and transient dynamic analyses, are introduced. First, the element mass matrix, not needed in static analyses, is presented. This is followed by finding the natural frequencies and mode shapes in modal analysis and adding damping to mitigate the effect of resonance. Next, two direct integration methods are derived and examples are given to illustrate how these methods work in a step-by-step manner. Finally, brief rationales are given regarding the selection of implicit and explicit integration schemes for various types of FEA.