Multibody System Dynamics

, Volume 45, Issue 4, pp 457–478 | Cite as

An approach for modelling a clearance revolute joint with a constantly updating wear profile in a multibody system: simulation and experiment

  • Li Xin XuEmail author
  • Yun Cheng Han
  • Qing Bing Dong
  • Hai Li Jia


An approach for modelling a clearance revolute joint with a constantly updating wear profile in a multibody system is proposed. Before the contact analysis, the continuous geometric shape of the joint bushing is dispersed to obtain a series of uniformly distributed points of a certain density. By analysing the relative positions between the discrete points and geometric centre of the joint pin, the contact area between the bushing and pin can be estimated and the maximum contact depth can be obtained. Then, the normal contact force and the tangential friction force acting on the point of force application are calculated: after an analysis of the contact force, the wear depth on the contact discrete points is calculated based on Archard’s wear model. The location of the contact discrete point is updated to reconstruct the geometric shape of joint bushing. Finally, taking a planar slider–crank mechanism as an example, the wear characteristics and dynamic response of a revolute joint with clearance are studied by numerical simulation and experimental testing. The results verified that the extent of wear on the joint bushing profile is nonuniform, which is related to the kinetic characteristics of the mechanism. Due to wear, the joint clearance is increased, which further affects the dynamic performance of the mechanism.


Multibody dynamics Contact dynamics Joint clearance Wear Slider–crank mechanism 



The authors would like to express the sincere thanks to the referees for their valuable suggestions. This project is supported by National Natural Science Foundation of China (Grant No. 51505336) and the Fundamental Research Funds for the Central Universities (Grant No. 2018CDXYJX0019). These supports are gracefully acknowledged.


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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  • Li Xin Xu
    • 1
    • 2
    Email author
  • Yun Cheng Han
    • 3
  • Qing Bing Dong
    • 1
    • 2
  • Hai Li Jia
    • 3
  1. 1.State Key Laboratory of Mechanical TransmissionChongqing UniversityChongqingChina
  2. 2.College of Mechanical EngineeringChongqing UniversityChongqingChina
  3. 3.School of Mechanical EngineeringTianjin University of Technology and EducationTianjinChina

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