Parameter-bifurcation analysis of torsional vibration based on variable inertia crankshaft system

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Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (7) : 118-122.

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Parameter-bifurcation analysis of torsional vibration based on variable inertia crankshaft system

Han Jianxin Wang Wei Zhang Qichang

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Abstract

Variable inertia parameter has some influences on the bifurcation characteristics of torsional vibration of crankshaft system, while present researches are lack of bifurcation analysis about it. This paper discusses the variable inertia parameter and tuning parameter’s influence on bifurcation behavior of the system when crankshaft rotational frequency, unbalanced exciting frequency and natural frequency approximate meet the circumstance 1:2:1. Firstly, average equation and bifurcation response equation are obtained by the method of multiple scales. Secondly, bifurcation diagrams with parameters’ changes are studied by application of singularity theory. Critical points and stability/bifurcation range are gotten. Finally, the correctness of the theoretical analysis is verified by comparing it with numerical simulations in different actual physical parameters. Parameter bifurcation analysis of variable inertia system is useful to optimize the design of crankshaft system.

Key words

crankshaft / torsional vibration / variable inertia / the method of multiple scales / parameter-bifurcation

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Han Jianxin Wang Wei Zhang Qichang. Parameter-bifurcation analysis of torsional vibration based on variable inertia crankshaft system[J]. Journal of Vibration and Shock, 2013, 32(7): 118-122