Dynamics of a grounded bistable nonlinear energy sink under periodic excitations

Abstract

Abstract: As a lightweight and efficient passive vibration absorber, nonlinear energy sink (NES) can effectively suppress the harmful vibration of engineering structures, thus the study of the dynamics is significant for the design and opti鄄 mization of the vibration absorber. Under the periodic excitations, the response process of a coupled system of grounded bistable NES and main linear structure is studied to analyze the advantages of this kind of vibration ab鄄 sorber and propose design criteria. The complex averaging and multi-scale expansion methods are applied to an鄄 alyze the dynamics of the coupled system and the slow invariant manifold (SIM) and external excitation threshold of the coupled system are calculated. The chaotic threshold and the parameter optimization scheme of the coupled system are obtained based on the Melnikov method. Furthermore, the comparisons with the vibration absorbers of linear and cubic stiffness demonstrate the advantages of this grounded bistable NES

Key words: grounded bistable dynamics, nonlinear energy sink, slow invariant manifold, Melnikov method

CLC Number:

O322

LI Shuangbao , ZHOU Xinxing . Dynamics of a grounded bistable nonlinear energy sink under periodic excitations[J]. Journal of Civil Aviation University of China, 2023, 41(4): 51-57.

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