The influence of viscoelasticity of rubber materials on the performanc
e of rubber isolators is presented. Dynamic properties of both neat ru
bber and filled rubber with filler content phi<phi(c) are Linear visco
elastic while those of filled rubbers with filler content phi greater
than or equal to phi(c), are strongly strain dependent and nonlinear v
iscoelastic. The Kramers & Kronig relationship and its approximation i
s used to simulate the performance of a linear viscoelastic rubber iso
lator. Two specific conditions for viscoelastic rubber systems, (a) sy
stems with constant loss tangent and (b) systems in the region of omeg
a(0.5) frequency dependence, are studied. The limitation on the transm
issibility of a linear viscoelastic rubber isolator is also illustrate
d through the Kramers & Kronig relationship. The performance of a vibr
ation isolator made from filled rubbers with filler content phi greate
r than or equal to phi(c), however, can be simulated by the L-N-B mode
l. When the strain amplitude at natural frequency is greater than the
apparent strain amplitude epsilon(app), the stability problems such as
Jump effect are likely to happen. (C) 1998 American Institute of Phys
ics.