IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i12p1979-d834213.html
   My bibliography  Save this article

A General Design Method of Cam Profile Based on Cubic Splines and Dynamic Model: Case Study of a Gravity-Driven Tricycle

Author

Listed:
  • Zhihao Jiang

    (Department of Mechanical, Aerospace and Civil Engineering School of Engineering, University of Manchester, Manchester M13 9PL, UK)

  • Tao Zhu

    (Department of Mechanical Engineering, Imperial College London, London SW7 2AZ, UK)

  • Zhongxiang Chen

    (College of Engineering and Design, Hunan Normal University, Changsha 410081, China)

  • Ruilin Fan

    (School of Mathematics and Statistics, Hunan Normal University, Changsha 410081, China)

  • Yi Gao

    (School of Mathematics and Statistics, Hunan Normal University, Changsha 410081, China)

  • Hanlu Zhang

    (School of Mathematics and Statistics, Hunan Normal University, Changsha 410081, China)

  • Lingming Wang

    (School of Mathematics and Statistics, Hunan Normal University, Changsha 410081, China)

Abstract

This paper proposes a general design method for cams based on the kinematics and dynamics of a mechanical system. According to the actuator’s trajectory, the cam profile is generated in reverse based on the kinematic model of the system. Firstly, the cam design’s optimising problem is converted into the execution trajectory’s optimisation to obtain the optimum operation trajectory according to the actuator’s requirements. Secondly, the relationship between the cam profile and the actuation trajectory is modelled based on the kinematics and dynamics of the mechanical system. Then, applying the cubic spline interpolation method, the cam profile is generated, and the error compensation methods are illustrated through numerical analysis. Finally, the validity of the presented design method is verified through experiments, which demonstrate the reliability of this method.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:1979-:d:834213
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/12/1979/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/12/1979/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      Corrections

      All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:1979-:d:834213. See general information about how to correct material in RePEc.

      If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

      If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

      For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

      Please note that corrections may take a couple of weeks to filter through the various RePEc services.

      IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.