Comparison and analysis of two Coulomb friction models on the dynamic behavior of slider-crank mechanism with a revolute clearance joint

doi:10.1007/s10483-018-2371-9

摘要/Abstract

摘要：

The objective of this study is to investigate the effects of the Coulomb dry friction model versus the modified Coulomb friction model on the dynamic behavior of the slider-crank mechanism with a revolute clearance joint. The normal and tangential forces acting on the contact points between the journal and the bearing are described by using a Hertzian-based contact force model and the Coulomb friction models, respectively. The dynamic equations of the mechanism are derived based on the Lagrange equations of the first kind and the Baumgarte stabilization method. The frictional force is solved via the linear complementarity problem (LCP) algorithm and the trial-and-error algorithm. Finally, three numerical examples are given to show the influence of the two Coulomb friction models on the dynamic behavior of the mechanism. Numerical results show that due to the stick friction, the slider-crank mechanism may exhibit stick-slip motion and can balance at some special positions, while the mechanism with ideal joints cannot.

关键词: Helmholtz equation, iteration method, coupled method, revolute clearance joint, stick-slip, stick friction, slider-crank mechanism, linear complementarity problem (LCP)

Abstract:

Key words: stick-slip, Helmholtz equation, iteration method, coupled method, linear complementarity problem (LCP), stick friction, revolute clearance joint, slider-crank mechanism

中图分类号:

Xudong ZHENG, Runsen ZHANG, Qi WANG. Comparison and analysis of two Coulomb friction models on the dynamic behavior of slider-crank mechanism with a revolute clearance joint[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(9): 1239-1258.

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