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Reconstruction of high-speed cam curve based on high-order differential interpolation and shape adjustment

Author

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  • Yu, Jianwu
  • Luo, Hong
  • Hu, Junzhi
  • Nguyen, Thai Vinh
  • Lu, Yuetuo

Abstract

Mathematical defects of general cam curves such as high-order discontinuity and overlarge peak values often bring excessive transmission errors and vibrations to high-speed cam-follower systems. A comprehensive method is proposed in this study to develop high-speed cam curves with preferable mathematical characteristics. A high-order differential interpolation curve is first constructed by using nodal basis functions to accurately match with the multi-order derivatives on multiple nodes. A flexible cam curve is then reconstructed by adding variable shape factors on critical nodes for further shape adjustments. Numerical cases indicate that the proposed method can not only help construct a faithful cam curve satisfying all the given constraints for displacement, velocity, acceleration and jerk, but also effectively reconstruct a high-order continuous cam curve with lower peak values for high-speed precision cam mechanisms. The proposed method has been demonstrated to be effective and applicable in user-oriented reverse design, modification, and optimization of high-speed cam curves.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:356:y:2019:i:c:p:272-281
    DOI: 10.1016/j.amc.2019.03.049
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    References listed on IDEAS

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    1. Esmaili, Masoud & Amjady, Nima & Shayanfar, Heidar Ali, 2011. "Multi-objective congestion management by modified augmented [epsilon]-constraint method," Applied Energy, Elsevier, vol. 88(3), pages 755-766, March.
    2. 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.
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    Cited by:

    1. 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).

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