Notice of Retraction: Nonlinearity analyses of pneumatic vibration isolation system with simple harmonic excitations

Abstract

Due to the volumetric compressibility of air, the usage of linear models as a mean to describe the behavior of pneumatic vibration isolators is often justified given the range of parameter settings of characteristic system properties.Outside this range, the nonlinear behavior may quickly prevail over the linear behavior. In this paper, a nonlinear model of pneumatic vibration isolator was established, considering the volumetric compressibility of air. Based on this, balance point of the system was analysed and simulation analyses were done using matlab/simulink software. The results show that the system has strong nonlinear characters. Single-frequency excitations can induce harmonic frequency response and offset response at the zero frequency. When the frequency is near to the the linearized natural frequency, the harmonic frequency response become stronger. Nonlinear characters have much to do with the drive amplitude. When the drive amplitude become large, the nonlinear characters are more obvious.

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