Approximate Response of a Non-linear Vibration Isolation System Subjected to Harmonic Excitation

Abstract

A non-linear vibration isolation system which is composed of a non-linear spring and a linear damper was proposed in last research. The merits of the proposed isolation system are that the system is simple and the load carrying capacity can be controlled easily by adjusting the spring inclination angle. When the support of the isolation system is excited harmonically, the response component of the isolation system mass at the excitation frequency has been calculated approximately using three different methods: linear approximation, harmonic balance method, and higher order FRFs method. The method using higher order FRFs gives much more accurate results compared to the other methods. The error between the exact and the approximated responses does not increase monotonously with the excitation amplitude, and is within 1.53%.