Influence of flexible foundation on the dynamic characteristics of an active suspension system generating high stiffness

Abstract

A vibration isolation system using zero-power magnetic suspension can provide an infinite supporting stiffness against static direct disturbance by a series connection of a normal mechanical spring with an active magnetic suspension system of negative stiffness. An extension of this idea to a more generalized model to produce infinite /zero dynamic modules including stiffness, mass and damping has been presented. However, these reported researches are based on an assumption of rigid supporting foundation. In practical engineering systems, any supporting foundations are essentially elastic. This paper intends to investigate the effect of elastic foundations on dynamic characteristics of this kind of active suspension systems. The generalised mathematical model of an active suspension system on a simply supported elastic plate is developed to explore the mechanism of the problem. The governing equations describing the coupled system are derived and the comprehensive dynamical characteristics of the overall system are analysed. The mobility characteristics of the
flexible plate and its effect on the dynamic stiffness or modulus of the supporting system are presented using frequency response curves. The results of this system with a flexible foundation are compared with the case of rigid base. An equivalent stiffness is chosen to adjust the active feedback parameters to reduce the effect of the flexible foundation on the supporting characteristics of the system. It is demonstrated that the proposed approach is effective. The theoretical study presented in this paper may be applied to design suspension systems or hybrid vibration control systems with increased control performance and practical applicability.

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ORCID for Y.P. Xiong: orcid.org/0000-0002-0135-8464

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