Structural Dynamics and Vibration in Practice

2

The Linear Single Degree of Freedom System: Classical Methods

Contents

2.1 Setting up the differential equation of motion

2.2 Free response of single-DOF systems by direct solution of the equation of motion

2.3 Forced response of the system by direct solution of the equation of motion

Single degree of freedom (single-DOF) theory, as outlined in this and in the next two chapters, enables a surprisingly large proportion of day-to-day structural dynamics problems to be solved. This chapter first describes how the equations of motion of single-DOF systems can be set up, using a variety of methods. It will be seen that most systems can be reduced to one of the two basic configurations:

(1) Systems excited by an external force;

(2) Systems ...