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Novel frictional algorithm implementing angular increment for two-dimensional frictional systems

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Abstract

This study proposes a new frictional algorithm that implements angular increment. The proposed algorithm is used to solve the numerical solutions of dynamic problems in two-dimensional frictional systems. It can accurately obtain the motion responses of a lumped mass under time-varying external forces, and it can compensate for the shortcomings of the numerical frictional algorithm that implements a time step. Specifically, the proposed algorithm 1) overcomes the difficulties encountered when the angles between resultant tangential forces and slip motion are infinitely close, 2) provides accurate solutions for two-dimensional systems under fierce planar motions, and 3) calculates the responses of the mass within a reasonable period. We compare the computation accuracy, efficiency, and robustness of the proposed frictional algorithm and the previous frictional algorithm [1] through several representative scenarios. We reveal that the proposed algorithm has superior computation accuracy, efficiency, and robustness for two-dimensional frictional problems involving slip/stick transitions and sharp bending.

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Acknowledgments

This project is supported by National Natural Science Foundation of China (Grant Nos. 51575403, 51705372).

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Authors and Affiliations

  1. Department of Mechanical Engineering, School of Power and Mechanical Engineering, Wuhan University, Wuhan, 430072, China

    Deng Zhao, Shijing Wu, Qiaoquan Li, Xiaofeng Li, Xiaoyong Li & Xiaosun Wang

Authors
  1. Deng Zhao
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  2. Shijing Wu
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  3. Qiaoquan Li
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  4. Xiaofeng Li
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  5. Xiaoyong Li
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  6. Xiaosun Wang
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Corresponding author

Correspondence to Xiaosun Wang.

Additional information

Recommended by Associate Editor Hyeong-Joon Ahn

Deng Zhao is currently completing his Ph.D. at the School of Power and Mechanical Engineering, Wuhan University, Wuhan, China. Zhao’s main research topics are structural dynamics, contact mechanics, and computational fluid engineering.

Xiaosun Wang received his Ph.D. degree in mechanical engineering from Wuhan University in 2006. Dr. Wang is currently a Professor at the School of Power and Mechanical Engineering, Wuhan University, China.

Shijing Wu received his Ph.D. degree in mechanical engineering from Wuhan University in 2000. Dr. Wu is currently a Professor at the School of Power and Mechanical Engineering, Wuhan University, China.

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Zhao, D., Wu, S., Li, Q. et al. Novel frictional algorithm implementing angular increment for two-dimensional frictional systems. J Mech Sci Technol 33, 3085–3094 (2019). https://doi.org/10.1007/s12206-019-0603-8

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  • DOI: https://doi.org/10.1007/s12206-019-0603-8

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