RESPONSE FUNCTIONS FOR LINEAR STRUCTURES
117
Figure 5.4 Harmonie response function for a linear System with small damping.
The utility of this form will become apparent later in the analysis of random
motion.
Consider the four régimes of response as deduced from équation (5.65). Note
that the behavior of |/7(u)| is the same as that for |u(t)| of équation (5.60),
since the latter quantifies differ only by the multiple pn/ki. For the first régime,
0 < u>/w0 <0.1, the case in which pi(i) is applied very slowly. Then the System
response is essentially static, /f(u,j —> 1, and
|J7(u>)| - p = peak v(t)
Aq
Aq
(5.66)