Nonlinear dynamics analysis of mechanism with multi-clearance joints and uncertain parameters

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (12) : 48-58.

WANG Zhimin1,2，JIN Guoguang1,2，LIANG Dong1,2，CHANG Boyan1,2，ZHOU Yang1,2

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Abstract

Taking the four-bar mechanism as the research object, the Monte Carlo algorithm is used to simulate the generation of uncertain geometric parameters and clearance size, the nonlinear dynamic equation of the four-bar mechanism with multi-clearance joints and uncertain parameters is established, and an analysis method for nonlinear dynamics of mechanisms with multi-clearance joints and uncertain parameters is proposed. Firstly, the effects of clearance joints and uncertain parameters on the kinematic accuracy of the mechanism are studied under different conditions, and the kinematic error of the mechanism is quantified. Then, the influence of uncertain parameters, crank speed, clearance size and clearance position on the bifurcation and chaos of the four-bar mechanism are investigated. The analysis results show that the kinematic accuracy of the mechanism is reduced due to the influence of clearance joints and uncertain parameters. At the same time, the dependence and sensitivity of systems bifurcation and chaos behavior on crank speed and clearance size are proved by using bifurcation diagram. The changes of crank speed and clearance size are the main factors that cause the bifurcation and chaotic behavior of the mechanism, and the influence of uncertain geometric parameters on the overall bifurcation phenomenon of the mechanism is limited.

Key words

Bifurcation / Chaos / Multi-clearance joints / Uncertain parameters / Nonlinear dynamics

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WANG Zhimin1,2，JIN Guoguang1,2，LIANG Dong1,2，CHANG Boyan1,2，ZHOU Yang1,2. Nonlinear dynamics analysis of mechanism with multi-clearance joints and uncertain parameters[J]. Journal of Vibration and Shock, 2023, 42(12): 48-58

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