Harmonic Balance Simulation for the Nonlinear Analysis of Vibration Isolation System Using Negative Stiffness

Abstract

A simulation of a new vibration isolation system using negative stiffness is proposed in this paper. The vibration isolation can be improved by incorporating a negative stiffness such that the dynamic stiffness is much less than the static stiffness. This paper is concerned with the nonlinear analysis using Harmonic Balance (HB) method of a High-Static-Low-Dynamic-Stiffness (HSLDS) system. The system consist of an isolated mass arranged in such a way it is attracted by other magnets located at each spring ends. The computer simulation agrees reasonably well for both Duffing oscillator and HB analysis.