基于杆系离散元法的结构接触碰撞行为分析

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摘要该文将杆系离散元法拓展至结构的碰撞行为分析中，通过对颗粒运动轨迹修正实现模拟杆件间的碰撞响应。首先根据杆件间可能发生的接触模式建立了“点-线”接触模型，然后将“虚拟接触点对”的概念引入临界接触约束条件，详细推导了接触力的计算公式，并采用fortran语言编制了基于离散元法的结构碰撞行为分析程序。通过对典型接触碰撞算例进行模拟和分析，定量验证了本文算法的正确性和有效性。结果表明，“点-线”接触模型可以对发生接触碰撞的杆件做出及时判断，并准确计算法向排斥力和切向摩擦力；同时接触碰撞过程中存在能量耗散。

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关键词 ：杆系离散元, 颗粒, 接触碰撞, 接触模型, 碰撞力

Abstract：This paper presents the structural connect-impact analysis using the member discrete element method(MDEM), and the collision response between the members is simulated by correcting the particle motion trajectory. Firstly, a point-line contact model is established based on the possible contact modes between the members, and then the concept of virtual contact point pairs is introduced into the critical contact constraint conditions, also, the formulations of the contact force are deduced in detail. The program based on the MDEM is also develop by Fortran Language to analyze structural contact-impact behaviors. The correctness and effectiveness of the algorithm are quantitatively verified through the simulation and analysis of typical numerical examples. The results show that the point-line contact model can make timely judgments on contact-impact between members and accurately calculate the normal repulsive force and tangential friction force, meanwhile, there is energy dissipation in the process of contact-impact.

Key words： member discrete element method particle contact-impact contact model impact force

收稿日期: 2022-05-07 出版日期: 2023-07-15

引用本文:

许强1,2，叶继红1,2. 基于杆系离散元法的结构接触碰撞行为分析[J]. 振动与冲击, 2023, 42(13): 103-110.
XU Qiang1,2, YE Jihong1,2. Structural contact-collision behavior analysis based on bar system discrete element method. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(13): 103-110.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I13/103

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