中国物理B ›› 2022, Vol. 31 ›› Issue (4): 44501-044501.doi: 10.1088/1674-1056/ac338f

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A quantitative analysis method for contact force of mechanism with a clearance joint based on entropy weight and its application in a six-bar mechanism

Zhen-Nan Chen(陈镇男), Meng-Bo Qian(钱孟波), Fu-Xing Sun(孙福兴), and Jia-Xuan Pan(潘佳煊)   

  1. Department of Mechanical Engineering, Zhejiang A&F University, Hangzhou 311300, China
  • 收稿日期:2021-06-10 修回日期:2021-10-14 接受日期:2021-10-27 出版日期:2022-03-16 发布日期:2022-03-29
  • 通讯作者: Meng-Bo Qian E-mail:qianmengbo@zafu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 51875531).

A quantitative analysis method for contact force of mechanism with a clearance joint based on entropy weight and its application in a six-bar mechanism

Zhen-Nan Chen(陈镇男), Meng-Bo Qian(钱孟波), Fu-Xing Sun(孙福兴), and Jia-Xuan Pan(潘佳煊)   

  1. Department of Mechanical Engineering, Zhejiang A&F University, Hangzhou 311300, China
  • Received:2021-06-10 Revised:2021-10-14 Accepted:2021-10-27 Online:2022-03-16 Published:2022-03-29
  • Contact: Meng-Bo Qian E-mail:qianmengbo@zafu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 51875531).

摘要: Contact force in a clearance joint affects the dynamic characteristics and leads to nonlinear response of the mechanism. It is necessary to assess the nonlinearity of contact force quantitatively. Therefore, a new method named contact-force entropy weight is proposed in this paper. This method presents a comprehensive description of the judgment matrix in the X, Y, and Z directions. To assess the influence degrees of different clearances and angular velocities on the contact force, the method is applied to numerical calculation and simulation of a six-bar mechanism with a clearance joint to illustrate its application and investigate the influence degree of angular velocity and clearance on the contact force. By combining the simulation results and theoretical calculations, the influence degrees of different clearances and angular velocities on the contact-force entropy weight of the six-bar mechanism with a clearance joint are revealed. It is found that the angular velocity has a significant influence on the contact force entropy weight of the clearance joint, showing that the contact-force entropy weight is a feasible new method of assessing non-linearity of contact force quantitatively. The method gives a theoretical reference for quantitatively analyzing the nonlinear dynamics.

关键词: clearance joint, entropy weight, six-bar mechanism, quantitative analysis

Abstract: Contact force in a clearance joint affects the dynamic characteristics and leads to nonlinear response of the mechanism. It is necessary to assess the nonlinearity of contact force quantitatively. Therefore, a new method named contact-force entropy weight is proposed in this paper. This method presents a comprehensive description of the judgment matrix in the X, Y, and Z directions. To assess the influence degrees of different clearances and angular velocities on the contact force, the method is applied to numerical calculation and simulation of a six-bar mechanism with a clearance joint to illustrate its application and investigate the influence degree of angular velocity and clearance on the contact force. By combining the simulation results and theoretical calculations, the influence degrees of different clearances and angular velocities on the contact-force entropy weight of the six-bar mechanism with a clearance joint are revealed. It is found that the angular velocity has a significant influence on the contact force entropy weight of the clearance joint, showing that the contact-force entropy weight is a feasible new method of assessing non-linearity of contact force quantitatively. The method gives a theoretical reference for quantitatively analyzing the nonlinear dynamics.

Key words: clearance joint, entropy weight, six-bar mechanism, quantitative analysis

中图分类号:  (Dynamics and kinematics of rigid bodies)

  • 45.40.-f
89.70.Cf (Entropy and other measures of information)