Abstract

LEDEZMA-RAMIREZ, Diego Francisco; TAPIA-GONZALEZ, Pablo Ernesto  and  CASTILLO-MORALES, Martín. Shock response of vibration isolators with hysteresis using the Bouc-Wen model. Ing. invest. y tecnol. [online]. 2019, vol.20, n.1. ISSN 2594-0732.  https://doi.org/10.22201/fi.25940732e.2019.20n1.009.

Vibration isolators are used to reduce and control shock response and usually present nonlinear stiffness and damping properties due to the high deformation levels and their geometric and material properties. In particular, viscoelastic isolators, and springs built from steel wires and ropes are notorious for their nonlinear properties. Moreover, when they are subjected to cyclic loading, they experience hysteresis. The Bouc-Wen model of hysteresis is widely used for representing the dynamic behaviour of nonlinear systems and structures under cyclic loading, as it can reproduce a variety of softening and hardening hysteresis loops by proper selection of its parameters. However, the study of shock response on these isolators is limited to studies of the nonlinear properties separately, or without considering damping. As a result, this work presents an analysis of the theoretical shock response using the Bouc-Wen model, focusing on hardening and softening stiffness. The most recent works are briefly discussed and a short background on shock isolation and the Bouc-Wen model is presented. Then, the absolute and relative responses under shock inputs are studied, as well as the effect of the input amplitude. It is concluded that under certain circumstances, the nonlinear properties can be beneficial for the further design of high performance shock isolators for extreme environments.

Keywords : Shock; cable isolators; damping; dry friction; nonlinear stiffness.

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