Modeling and parameter identification of amplitude- and frequency-dependent rubber isolator

Abstract

A model to describe the hysteresis damping characteristic of rubber material was presented. It consists of a parallel spring and damper, whose coefficients change with the vibration amplitude and frequency. In order to acquire these relations, force decomposition was carried out according to some sine vibration measurement data of nonlinear forces changing with the deformation of the rubber material. The nonlinear force is decomposed into a spring force and a damper force, which are represented by the amplitude- and frequency-dependent spring and damper coefficients, respectively. Repeating this step for different measurements gives different coefficients corresponding to different amplitudes and frequencies. Then, the application of a parameter identification method provides the requested approximation functions over amplitude and frequency. Using those formulae, as an example, the dynamic characteristic of a hollow shaft system supported by rubber rings was analyzed and the acceleration response curve in the centroid position was calculated. Comparisons with the sine vibration experiments of the real system show a maximal inaccuracy of 8.5%. Application of this model and procedure can simplify the modeling and analysis of mechanical systems including rubber materials.

Keywords

rubber isolator / modeling / parameter identification / hysteresis damping / dynamic analysis

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