Multiple Support Point Reaction Force Calculation Considering Virtual Elastic Stiffness of Support Surfaces

doi:10.3969/j.issn.1004-132X.2021.22.004

Abstract

Abstract: Based on the objective physical fact that the supporting surface would make the supporting point move slightly, the micro variable degrees of freedom independent of the macro constraints were introduced to describe the gap function at the support points, and the virtual elastic stiffness of the support surfaces was introduced to describe the resistance of the support surfaces. In order to overcome the difficulty of numerical solution caused by the "switch effect" of virtual elastic stiffness, the transition function was introduced to smooth that. According to the macroscopic force condition, the equilibrium equation was established, and the support reaction of the support points was obtained by solving the nonlinear equations. A variety of support reactions were calculated and compared with the experimental data to verify the effectiveness of the proposed method.

Key words: support reaction force, virtual elastic stiffness, unilateral constraint, micro variable, smoothing transition function, virtual power

摘要： 基于作业过程中支撑面的弹性使支撑点产生微幅刚体运动这一客观物理事实，采用与宏观约束无关的微变量自由度来描述支撑点处的接触缝隙，并引入支撑面虚拟弹性刚度描述支撑面的抵抗能力。为克服虚拟刚度的“开关效应”给数值求解带来的困难，引入过渡函数将其光滑化。依据宏观载荷建立整体平衡方程，通过求解该非线性方程组得到具体的支撑反力。计算了多种支撑形式的支撑点反力，并与试验数据进行对比，验证了所提方法的有效性。

关键词: 支撑反力, 虚拟弹性刚度, 单面约束, 微变量, 光滑化过渡函数, 虚功率

CLC Number:

TH213
O342

XU Jinshuai, QI Zhaohui, ZHUO Yingpeng, LIU Haibo, GAO Lingchong. Multiple Support Point Reaction Force Calculation Considering Virtual Elastic Stiffness of Support Surfaces[J]. China Mechanical Engineering, 2021, 32(22): 2681-2688，2696.

徐金帅, 齐朝晖, 卓英鹏, 刘海波, 高凌翀. 考虑支撑面虚拟弹性刚度的多支撑点反力计算[J]. 中国机械工程, 2021, 32(22): 2681-2688，2696.

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