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

Zhihao Jiang, Tao Zhu, Zhongxiang Chen, Ruilin Fan, Yi Gao, Hanlu Zhang and Lingming Wang
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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

Mathematics, 2022, vol. 10, issue 12, 1-17

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.

Keywords: inverse cam design; cam profile algorithm; open-loop system; error compensation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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