Modelling and identification of a wire-cable vibration isolator via a cyclic loading test Part 2: Identification and response prediction

In Part 1 of the study, two improved Bouc-Wen models have been proposed to describe the hysteretic behaviour of a wire-cable vibration isolator. In this part, a frequency-domain parametric identification procedure is presented to determine the model parameters from the experimental data of the cyclic loading test. Making use of the rate-independent nature of the hysteretic behaviour, the measured quasi-periodic data sequences are modulated to periodic signals. Then the model parameters are identified from a one-stage estimate scheme using the acquired harmonic components of the displacement and restoring force signals. The identification results give rise to a good representation of the experimental hysteresis loops. After performing the modelling, the dynamic response behaviour of a wire-cable isolation system is evaluated with reference to the shear, the roll and the tensioncompression modes respectively. The frequency-response characteristics in the tension-compression mode are found to be greatly different from those in shear and roll modes.