The dynamics of a vibro-impact system with asymmetric characteristic constraints

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (12) : 72-79.

ZHANG Bailin1，LI Xianfeng1，ZHANG Hui2，MA Guofeng2

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Abstract

This paper investigates a non-symmetric collision vibration system with asymmetric constraints. The conditions for n-1-1 periodic motion are given and the Jacobi matrix is derived from the non-dimensional modeling. In utilizing with a combined parametric-state simulation method, the transition sets are presented on the (ω,δ) plane, and the dynamical behavior against ω are also examined. A new method is proposed to explore coexisting attractors. Whereby the variations of attractors are depicted in parameter space.

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non-smooth / non-symmetric / bifurcation / attractors domain / cell-to-cell mapping / parametric-state-space simulation

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ZHANG Bailin1，LI Xianfeng1，ZHANG Hui2，MA Guofeng2. The dynamics of a vibro-impact system with asymmetric characteristic constraints[J]. Journal of Vibration and Shock, 2024, 43(12): 72-79

References

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