Research article

Force transmission characteristics in a multiple-fulcrum supporting platform with heavy loads

  • Received: 12 March 2020 Accepted: 21 April 2020 Published: 28 April 2020
  • This study aims to investigate the force transmission characteristics of a multiple-fulcrum supporting platform, and the significance of this paper is to creatively put forward the law of uniform force characteristics of multiple-fulcrum supporting platform with heavy loads and layout reconfiguration methods to realize the law. In this paper, firstly, a force transmission model for the multiple-fulcrum supporting platform has been constructed, the relationship between force transmission characteristics and layout parameters for all fulcrums has been discussed in detail, and the layout law for all fulcrums with the same supporting force has been discovered. Then, layout reconfiguration methods have been proposed to realize the uniform force characteristics of all fulcrums under different types of constraint surfaces (rectangular or square constrained surface, circular constrained surface, and unconstrained surface). Finally, layout reconfiguration methods have been applied to some engineering problems by ADAMS simulation. The simulation results show that the supporting force of all fulcrums in the supporting platform is equal when the layout central point (LCP) of all fulcrums is coincident with the force equivalent point (FEP) of external loads. The results provide theoretical guidance and support for the reconfiguration of multiple-fulcrum supporting platforms that can realize uniform forces among all fulcrums.

    Citation: Kongshu Deng, Yicheng Ding, Zhurong Yin, Lu Zeng, Hailaing Wu, Dilei Qian. Force transmission characteristics in a multiple-fulcrum supporting platform with heavy loads[J]. Mathematical Biosciences and Engineering, 2020, 17(4): 3329-3355. doi: 10.3934/mbe.2020189

    Related Papers:

  • This study aims to investigate the force transmission characteristics of a multiple-fulcrum supporting platform, and the significance of this paper is to creatively put forward the law of uniform force characteristics of multiple-fulcrum supporting platform with heavy loads and layout reconfiguration methods to realize the law. In this paper, firstly, a force transmission model for the multiple-fulcrum supporting platform has been constructed, the relationship between force transmission characteristics and layout parameters for all fulcrums has been discussed in detail, and the layout law for all fulcrums with the same supporting force has been discovered. Then, layout reconfiguration methods have been proposed to realize the uniform force characteristics of all fulcrums under different types of constraint surfaces (rectangular or square constrained surface, circular constrained surface, and unconstrained surface). Finally, layout reconfiguration methods have been applied to some engineering problems by ADAMS simulation. The simulation results show that the supporting force of all fulcrums in the supporting platform is equal when the layout central point (LCP) of all fulcrums is coincident with the force equivalent point (FEP) of external loads. The results provide theoretical guidance and support for the reconfiguration of multiple-fulcrum supporting platforms that can realize uniform forces among all fulcrums.



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