Dynamic behaviors and mechanisms analysis of nonlinear relative rotation system

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (4) : 49-54.

HAN Qingzhen 1 HE Ren 1

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Abstract

The dynamic behaviors of nonlinear relative rotation system with nonlinear stiffness is studied. The torque perturbation is made as control parameter, and the equilibrium’s stability of the torsional vibration system is judged by the Routh-Hurwitz criterion. The bifurcation theory is used to analysis the bifurcation behaviors of the equilibrium, and the condition of Fold bifurcation of the equilibrium is derived. The bifurcation set of the equilibrium on the parameter plane is obtained by simulation, and the stability of equilibrium in different parameter regions are studied. The global dynamic behaviors of torsional vibration system are studied by the bifurcation map and period three motion and chaotic motion are obtained. Symmetric and asymmetric fold/fold burstings are obtained by adjusting the quadratic nonlinear stiffness coefficient.

Key words

relative rotation / nonlinear / bifurcation / equilibrium

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HAN Qingzhen 1 HE Ren 1. Dynamic behaviors and mechanisms analysis of nonlinear relative rotation system[J]. Journal of Vibration and Shock, 2018, 37(4): 49-54

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