Tj. Royston et R. Singh, OPTIMIZATION OF PASSIVE AND ACTIVE NONLINEAR VIBRATION MOUNTING SYSTEMS BASED ON VIBRATORY POWER TRANSMISSION, Journal of sound and vibration, 194(3), 1996, pp. 295-316
While significant non-linear behavior has been observed, in many vibra
tion mounting applications, most design studies are typically based on
the concept of linear system theory in terms of force or motion trans
missibility. In this paper, an improved analytical strategy is present
ed for the design optimization of complex, active or passive, non-line
ar mounting systems. This strategy is built upon the computational Gal
erkin method of weighted residuals, and incorporates order reduction a
nd numerical continuation In an iterative optimization scheme. The ove
rall dynamic characteristics of the mounting system are considered and
vibratory power transmission is minimized via adjustment of mount par
ameters by using both passive and active means. The method is first ap
plied through a computational example case to the optimization of basi
c passive and active, non-linear isolation configurations. It is found
that either active control or intentionally introduced non-linearity
can improve the mount's performance; but a combination of both produce
s the greatest benefit. Next, a novel experimental, active,:non-linear
isolation system is studied. The effects of non-linearity on vibrator
y power transmission and active control are assessed via experimental
measurements and the enhanced Galerkin method. Results show how harmon
ic excitation can result in multiharmonic vibratory power transmission
. The proposed optimization strategy offers designers some flexibility
in utilizing both passive and active means in combination with linear
and non-linear components for improved vibration mounts. (C) 1996 Aca
demic Press Limited