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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Kluwer Academic Publishers

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DOI

10.1007/bf01425299

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1573-269X

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Dynamics of a nearly symmetrical piecewise linear

Authors: James Ing Ekaterina Pavlovskaia Marian Wiercigroch
Publish Date: 2006/10/10
Volume: 46, Issue: 3, Pages: 225-238
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Abstract

Experimental studies and mathematical modelling have been carried out for a nearly symmetrical piecewise linear oscillator to examine the bifurcation scenarios close to grazing Higher period responses are found after grazing although the period adding windows predicted as a generic feature of onesided impacting systems are not observed It appears that the presence of the second high stiffness spring stabilises additional periodic orbits The global solution for a piecewise smooth model is developed by stitching locally valid maps For the symmetrical case the highest period of response is three if asymmetry in the gap and/or stiffness is introduced then higher periodic orbits are observed Only small asymmetries are required to achieve a good correspondence with experiments Further examination shows that many attractors are not stable to even small changes in the symmetry of the system

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