Mathematics (Jun 2022)

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,
  • Lingming Wang

DOI
https://doi.org/10.3390/math10121979
Journal volume & issue
Vol. 10, no. 12
p. 1979

Abstract

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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