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Manipulate optimal high-order motion parameters to construct high-speed cam curve with optimized dynamic performance

Author

Listed:
  • Yu, Jianwu
  • Huang, Kaifeng
  • Luo, Hong
  • Wu, Yao
  • Long, Xiaobing

Abstract

Constructing a cam curve is the fundamental of designing cam mechanism. There have been many methods of constructing various cam curves in mathematical filed and mechanical engineering field. However they cannot guarantee dynamic performance and design conditions directly. In this paper, a novel method for constructing high-speed cam curves with optimized dynamic performance under any design conditions directly is proposed. First, an optimization model to determine the optimal high-order motion parameters is constructed by combing the high-order interpolation method and a feasible dynamic optimization model of cam curve. Then the solution to construct cam curve by this proposed method is presented, and a widely used single freedom dynamic model of cam mechanism is constructed to validate the dynamic performance of the constructed cam curve. Finally, taking a globoidal cam mechanism as a case, a high-speed cam curve is constructed by the proposed new method to satisfy the given design demands and the dynamic performance of constructed cam curve is evaluated. Thus the method is demonstrated to be effective and feasible in constructing high-speed cam curves.

Suggested Citation

  • Yu, Jianwu & Huang, Kaifeng & Luo, Hong & Wu, Yao & Long, Xiaobing, 2020. "Manipulate optimal high-order motion parameters to construct high-speed cam curve with optimized dynamic performance," Applied Mathematics and Computation, Elsevier, vol. 371(C).
  • Handle: RePEc:eee:apmaco:v:371:y:2020:i:c:s0096300319309452
    DOI: 10.1016/j.amc.2019.124953
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    References listed on IDEAS

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    1. Lamnii, A. & Lamnii, M. & Oumellal, F., 2016. "A new basis for osculatory interpolation problems and applications," Applied Mathematics and Computation, Elsevier, vol. 283(C), pages 355-368.
    2. Yu, Jianwu & Luo, Hong & Hu, Junzhi & Nguyen, Thai Vinh & Lu, Yuetuo, 2019. "Reconstruction of high-speed cam curve based on high-order differential interpolation and shape adjustment," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 272-281.
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    Cited by:

    1. Zhihao Jiang & Tao Zhu & Zhongxiang Chen & Ruilin Fan & Yi Gao & Hanlu Zhang & Lingming Wang, 2022. "A General Design Method of Cam Profile Based on Cubic Splines and Dynamic Model: Case Study of a Gravity-Driven Tricycle," Mathematics, MDPI, vol. 10(12), pages 1-17, June.

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    1. Yu, Jianwu & Luo, Hong & Hu, Junzhi & Nguyen, Thai Vinh & Lu, Yuetuo, 2019. "Reconstruction of high-speed cam curve based on high-order differential interpolation and shape adjustment," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 272-281.

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