Periodic bursting of a nonlinear torsional vibration system under quasic-periodic parametric excitation

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Journal of Vibration and Shock ›› 2012, Vol. 31 ›› Issue (4) : 100-104,.

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Periodic bursting of a nonlinear torsional vibration system under quasic-periodic parametric excitation

SHI Pei-ming1,2; LI Ji-zhao1; LIU Bin1; HAN Dong-ying3

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Abstract

Considering the effects caused by the coexist of two different periodic parametric excitation in rotary machinery driving system, the dynamical equation of nonlinear torsional vibration system is established based on Lagrange equation. The model contains quasi-periodic parametrically excited stiffness and friction damping. The amplitude-frequency characteristic equation and bifurcation response equation are obtained by solving the torsional vibration system using multi-scale method. On this basis, the periodic bursting of the nonlinear torsional vibration system is studied when the two periodic parametrical excitations have large difference gap. The influence of fast-varying parametrical excitation and slow-varying parametrical excitation on the periodic bursting of the torsional vibration system is analyzed. The parameter regions of periodic bursting are given by numerical simulation. The mutual transition between the quiescent state and the spiking state of the system occurs in this region, when the amplitude of the fastly varying excitation reduces, the area of spiking state extends, the time of bursting prolongs. The bursting type and trajectory of the system can be changed from regulating amplitude of slow-varying parametric excitation.

Key words

rotating machinery / quasic-periodic parametric excitation / torsional vibration / periodic bursting

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SHI Pei-ming;LI Ji-zhao; LIU Bin; HAN Dong-ying. Periodic bursting of a nonlinear torsional vibration system under quasic-periodic parametric excitation[J]. Journal of Vibration and Shock, 2012, 31(4): 100-104,