
7.10. Consider the mechanical system in Figure 7.22, where the massless driving cart is subjected to a
random force F (t) . Find:
(a) the equation of motion for this system,
(b) the frequency response function [H (iω)] ,
(c) the response spectrum if F (t) is a white noise-based random process of intensity S
0
. Assume
that c
1
= c
2
= c/2, k
1
= k
2
= k/3 and m = 3c
2
/4k.
Figure 7.22: A multi degree-of-freedom system driven by a massless cart.
Solution: (a) Summing the forces on the mass and the massless ...