Then the model parameters are identified from a one-stage estimate scheme using the acquired harmonic components of the displacement and restoring force signals. Making use of the rate-independent nature of the hysteretic behaviour, the measured quasi-periodic data sequences are modulated to periodic signals. 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. 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. Based on the established hysteretic model, the dynamic response characteristics of a wire-cable isolation system are evaluated. Excellent agreement between the predicted and experimental hysteresis loops is obtained. The proposed method is applied to the modeling of hysteretic behavior of a wire-cable vibration isolator from experimental data. They are identified by fitting the surfaces with the generalized orthogonal polynomials in terms of displacement and hysteretic restoring force. The functions describing the surfaces need not be specified in specific expressions, so that both the form and parameters of the functions can be fine-tuned to match experimental results. Making use of the Duhem hysteresis operator, the multivalued relationship of hysteretic restoring force with respect to displacement and velocity of the phase plane is mapped onto two single-valued surfaces in an appropriate subspace in terms of the state variables of displacement and hysteretic restoring force. # 2002 Published by Elsevier Science Ltd.Ī nonparametric identification method for nonlinear hysteretic systems is presented. The optimally chosen elastic and damping properties of the vibration isolators allow the vibration experienced by the above internal components to be minimised, subject to restraints imposed on the peak deflections of the electronic box. The new design approach focuses basically on dynamic properties and responses of the critical internal components of an electronic device. Consequently, the traditionally designed vibration isolators are often insufficient for maintaining a fail-safe vibration environment for electronic equipment. The traditional approach, hence, completely ignores the presence of such components. However, the reliability of the electronic equipment depends primarily on the vibration responses of the internal components that are often lightly damped and extremely responsive over a wide frequency range. The traditional optimal design for vibration isolation from random vibration is based on a trade-off choice of damping and stiffness properties of mounts, and is focussed primarily on optimizing the dynamic response of the electronic boxes, subject to limitations imposed on their rattle space. Vibration protection of sensitive electronic equipment operating in harsh environments often relies on resilient mounts.
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