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IssuesArchive of Issues2024-1pp.345-362

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S. He, W. Zhang, B. He, Z. Yang, and J. Luo, "Vibration Reduction Analysis of a Dry Friction Constrained Longitudinal Vibration System Considering the Maximum Mises Stress and the Magnitude and Distribution of the Normal Load," Mech. Solids. 59 (1), 345-362 (2024)
Year 2024 Volume 59 Number 1 Pages 345-362
DOI 10.1134/S0025654423602446
Title Vibration Reduction Analysis of a Dry Friction Constrained Longitudinal Vibration System Considering the Maximum Mises Stress and the Magnitude and Distribution of the Normal Load
Author(s) S. He (School of Mechanics and Safety Engineering, Zhengzhou University, Zhengzhou, 450001 China, hsw2013@zzu.edu.cn)
W. Zhang (School of Mechanics and Safety Engineering, Zhengzhou University, Zhengzhou, 450001 China)
B. He (College of Mechanical and Electrical Engineering, Shaanxi University of Science and Technology, Xi’an, 710021 China; School of Aeronautics, Northwestern Polytechnical University, Xi’an, 710072 China, hebb714@gmail.com)
Z. Yang (School of Mechanics and Safety Engineering, Zhengzhou University, Zhengzhou, 450001 China)
J. Luo (School of Mechanics and Safety Engineering, Zhengzhou University, Zhengzhou, 450001 China, luojun@zzu.edu.cn)
Abstract In this paper, on account of an exponential-type velocity-dependent friction coefficient model, the difference between dynamic and static friction coefficients is considered to improve the one-dimensional micro-slip model. Incorporating with the finite element method, the corresponding dry friction contact element is developed to solve the frictionally constrained longitudinal vibration system with a distributed normal load. As high cycle fatigue failure is caused by excessive vibration stress, the maximal Mises stress instead of the displacement, energy or average power of the system is introduced to evaluate the vibration reduction effect of the system. Meanwhile, the normal load distribution coefficient is proposed to measure its convexity and concavity degree of the distribution of the normal load and the optimal normal load is redefined considering both the magnitude and distribution of the normal load. With Newmark-β method, influences of both the magnitude and distribution of the normal load on the reduction rate and location of the maximal Mises stress of the dry friction constrained longitudinal vibration system are detailly studied. Numerical results indicate that considering the difference between the dynamic and static friction coefficients in the micro-slip model and introducing the maximum Mises stress to evaluate the vibration reduction effect are valuable in dynamical analysis of the dry friction constrained systems. A stress-based criterion for vibration reduction of the dry friction longitudinal vibration system is established.
Keywords dry friction, high cycle fatigue failure, vibration reduction, improved one-dimensional micro-slip model, magnitude and distribution of the normal load, reduction rate and location of the maximal mises stress
Received 24 November 2023Revised 25 January 2024Accepted 25 January 2024
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