These time histories correspond to damping ratios of 0, 0.1 and 0.5. (Recall that for oscillations to exist in the free reponse, the damping ratio must be less than one.) The most obvious influence of ...

As seen, for r = 4, the absolute motion of the system mass is effectively zero. Also, as discussed above it is desired to keep the damping as small as reasonably possible for effective isolation. This ...