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有限质点法是以向量式力学为基础的结构分析方法,它将结构离散为质点群,并以结构质点的真实行为模拟为基本思想,研究表明该方法在结构强非线性和不连续行为分析中有明显的优势。该文将其拓展至结构的碰撞行为分析中,根据结构的离散模型提出了结构单元的接触侦测方法,建立了碰撞模型,推导了碰撞力的计算公式和质点内力的修正公式,并编制了基于有限质点法的结构碰撞行为分析程序。通过对两个算例的模拟和分析,验证了该方法进行结构接触碰撞行为分析的有效性。
The finite element method is a structural analysis method based on vectorial mechanics. It separates the structure into mass groups, and takes the simulation of the real behavior of structural particles as the basic idea. The results show that this method is effective in the analysis of strong nonlinear and discontinuous behavior There are obvious advantages. This paper extends it to the analysis of the structure’s collision behavior. Based on the discrete model of the structure, the contact detection method of structural elements is proposed. The collision model is established and the formula for calculating the impact force and the correction formula of the particle internal force are derived. Structural Collision Behavior Analysis Program Based on Finite Element Method. Through the simulation and analysis of two examples, the validity of this method in the analysis of structural contact and collision behavior is verified.