Vibration isolation performance of a rectangular panel with high-static-low-dynamic stiffness supports

Abstract

In this paper, the nonlinear vibration of a corner-supported rectangular thin panel with high static low dynamic stiffness (HSLDS) isolator supports is investigated. The dynamic model of the panel clamped at corners is established and the frequency equations are derived by employing the Rayleigh-Ritz procedure. The characteristic orthogonal polynomial series is introduced as the assumed modes and the equations of motions are obtained. The dynamic response of the system is analytically calculated for the first time by applying the complexification-averaging method. And the approximation solutions are verified with the numerical and finite element method. The isolation performance of the system is evaluated by the displacement transmissibility and the effects of the parameters are investigated for optimal design. The comparison with the isolation performance of linear elastic-supported panel illustrates that introducing the HSLD isolators has a superior effect on reducing the peak transmissibility in the low-frequency band and provides a wide isolation range for the system.