Bifurcation techniques for stiffness identification of an impact oscillator
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- 作者：Maolin Liaoa ; m.liao@abdn.ac.uk" class="auth_mail" title="E-mail the corresponding author ; James Ing ; a ; j.ing@abdn.ac.uk" class="auth_mail" title="E-mail the corresponding author ; Joseph Pá ; ez Chá ; veza ; b ; jpaez@espol.edu.ec" class="auth_mail" title="E-mail the corresponding author ; Marian Wiercigrocha ; m.wiercigroch@abdn.ac.uk" class="auth_mail" title="E-mail the corresponding author
- 关键词：Impact oscillator ; Bifurcation analysis ; Stiffness identification ; Numerical continuation
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：41
- 期：Complete
- 页码：19-31
- 全文大小：1563 K
文摘
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Bifurcations of a piecewise linear oscillator are studied in two parameter space, both experimentally, and numerically using the continuation package TC-Hat.
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A method for identification of the properties of the impact phase of the response is presented based on a bifurcation approach.
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Time of contact as a function of stiffness ratio is presented, based on numerical simulation.
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Experimental hysteresis is shown from numerics to be the result of a cusp singularity near grazing.