Zhou Xin, Duan Zhisheng
Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, 100871, China.
Heliyon. 2023 Feb 21;9(3):e13851. doi: 10.1016/j.heliyon.2023.e13851. eCollection 2023 Mar.
In this paper, to introduce a spatial rigid body mechanics analytical method and start the analysis, the human-machine contact force is equivalent to a spatially rigid body: the mechanism and skin surfaces are equivalent to two different rigid planes, and the motion between the mechanism and skin surfaces is equivalent to virtual branches motion. By considering the elastic deformation of each virtual branch axis, an equivalent human-machine contact force model is established, along with the deformation coordination equation of each virtual branch. The analytical solution of the tension/compression and the expression of the internal force of each virtual branch are obtained by solving the pseudo inverse and weighted generalized inverse solutions of the human-machine contact force. The physical meaning of the internal force of each virtual branch is also denoted. In addition, this paper contains an experimental platform for testing human-machine contact force, in which the linear stiffness of each branch is evaluated, therefore simulating and verifying the theoretical model introduced above. The contact force model proposed in this paper provides a theoretical basis for the development of human-machine synergetic motion.
本文为介绍一种空间刚体力学分析方法并展开分析,将人机接触力等效为一个空间刚体:机构与皮肤表面等效为两个不同的刚性平面,机构与皮肤表面之间的运动等效为虚拟分支运动。通过考虑各虚拟分支轴的弹性变形,建立了等效人机接触力模型以及各虚拟分支的变形协调方程。通过求解人机接触力的伪逆解和加权广义逆解,得到了各虚拟分支的拉压解析解及内力表达式,并阐述了各虚拟分支内力的物理意义。此外,本文搭建了一个用于测试人机接触力的实验平台,对各分支的线性刚度进行了评估,从而模拟并验证了上述理论模型。本文提出的接触力模型为人机协同运动的发展提供了理论依据。