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

Kongshu Deng; Yicheng Ding; Zhurong Yin; Lu Zeng; Hailaing Wu; Dilei Qian; Kongshu Deng; Yicheng Ding; Zhurong Yin; Lu Zeng; Hailaing Wu; Dilei Qian

doi:10.3934/mbe.2020189

Mathematical Biosciences and Engineering

2020, Volume 17, Issue 4: 3329-3355. doi: 10.3934/mbe.2020189

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Research article

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

Engineering Research Center of Advanced Mining Equipment, Ministry of Education, Hunan University of Science and Technology, Xiangtan 411201, China

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

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Abstract

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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