• CN: 11-2187/TH
  • ISSN: 0577-6686

Journal of Mechanical Engineering ›› 2022, Vol. 58 ›› Issue (1): 69-87.doi: 10.3901/JME.2022.01.069

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Dynamic Error Analysis and Optimization Design of Planar Flexible Multi-link Mechanism with Angular Contact Ball Bearing and Revolute Clearance Sliding Bearing Joints with Rough Surfaces

ZHANG Yongnian1, TAO Yaman1, JIANG Shuyun2, ZHU Songqing3, ZHENG Enlai1, SHI Jinfei3   

  1. 1. College of Engineering, Nanjing Agricultural University, Nanjing 210031;
    2. School of Mechanical Engineering, Southeast University, Nanjing 211189;
    3. School of Mechanical Engineering, Nanjing Institute of Technology, Nanjing 211167
  • Received:2021-04-01 Revised:2021-09-15 Online:2022-01-05 Published:2022-03-19

Abstract: Traditional contact models of revolute clearance joints assume the contact surfaces of bushing and pin to be smooth and only consider the influence of the initial contact point in the contact area, while always neglecting the effect of other contact points between two rough contact surfaces, which inevitably leads to lower analysis precision. A new computational methodology for the dynamic modelling, analysis and optimization of a planar flexible multilink mechanism including multiple revolute clearance sliding bearings with rough surfaces and angular contact ball bearings (ACBBs) is proposed. To solve this problem, a novel contact model considering the effect of the multi-point contact state of the revolute clearance sliding bearing joint with rough contact surfaces is presented and the locking-free shear deformable beam model is used to discretize the flexible linkage. Based on Hertzian theory, the dynamic equivalent radial stiffness of the ACBB is derived. Compared to the dynamic responses from traditional contact models of revolute clearance joint with smooth surfaces, the simulated responses from the proposed model of revolute clearance joint with rough surfaces agree better with experimental results and the effectiveness of the proposed dynamic model is verified. The simulation results suggest that revolute clearance joints with rough surfaces reduce the deviation errors of slider's velocity and acceleration, while increase the deviation error of slider's displacement. The deviation errors of dynamic responses for planar flexible multilink mechanism including two revolute clearance sliding bearings with rough surfaces and ACBBs under stamping condition are larger than those under no-load condition and the stamping load is prone to increase the deviation errors of slider's displacement, velocity and acceleration. Moreover, optimization is implemented to obtain the optimum clearance size values of the revolute joints through a nondominated sorting genetic algorithm (NSGA-II).

Key words: multilink mechanism, clearance, angular contact ball bearing, flexibility, multibody dynamics, rough surfaces

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