中文摘要：

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。

英文摘要：

The Finite Particle Method （FPM） is a structural analysis method based on the Vector Mechanics. The FPM discretizes the analyzed domain intio finite particles, and its basic idea is to simulate the motion behavior of structural particles. It has been proven that the FPM is very powerful in the analysis of structural complicated behaviors. This paper presents the structural impact analysis using the FPM. According to the discretized structural models, the contact detecting method and the impact models are proposed. The formulations of the impact force between the impact elements are derived to calculate the impact reaction. The internal forces and displacement of particles connected to the impact elements are modified correspondingly. The program based on the FPM is also developed to analyze structural impact behaviors. Two numerical examples are presented to demonstrate the feasibility of this method in the impact analysis.