中国机械工程 ›› 2024, Vol. 35 ›› Issue (08): 1381-1389,1396.DOI: 10.3969/j.issn.1004-132X.2024.08.006

• 机械基础工程 • 上一篇    下一篇

弹塑性接触冲击永久变形与滑移长度的解析求解

王尧1;管恩广1;张青雷1,2   

  1. 1.上海海事大学物流工程学院,上海,201306
    2.上海海事大学中国(上海)自贸区供应链研究院,上海,201306

  • 出版日期:2024-08-25 发布日期:2024-09-18
  • 作者简介:王尧,男,1988年生,副教授、博士后研究人员。研究方向为系统动力学与控制、接触力学、医疗/穿刺手术机器人等。
  • 基金资助:
    国家自然科学基金(52105267,51875332);上海市(临港)产业转型升级发展专项资金(T-220217001)

Analytical Solution of Permanent Deformations and Sliding Lengths during the Elasto-plastic Oblique Contact-impacts

WANG Yao1;GUAN Enguang1;ZHANG Qinglei1, 2   

  1. 1.College of Logistics Engineering,Shanghai Maritime University,Shanghai,201306
    2.China(Shanghai) Institute of Free Trade Zone Supply Chain,Shanghai Maritime University,
    Shanghai,201306

  • Online:2024-08-25 Published:2024-09-18

摘要: 在机械系统的设计与应用中,多体表面之间的弹塑性接触冲击现象是一个重要的力学问题,蕴含复杂的物理力学特性,对接触力等关键参数的解析与表征还存在许多争议与谜团。针对弹塑性倾斜接触冲击事件,根据Brake压陷模型建立瞬时接触力和接触变形的计算式,用接触变形系统地探讨与描述弹塑性接触冲击过程;基于广义动量定理,对冲击持时、永久变形和滑移长度的内在关系进行解析,分别得到以积分形式表示的永久变形和滑移长度表达式,再结合已发表文献中冲击对象在接触冲击前后的运动试验数据进行解析求解;测量接触冲击后被冲击对象的变形区域并进行对比分析。试验与数值结果表明:采用广义动量定理所建立的方法求解永久变形和滑移长度,其计算结果与试验值吻合较好,与采用Brake压陷模型直接积分数学方程相比,该方法计算结果更准确。

关键词: 弹塑性, 倾斜冲击, 冲击持时, 永久变形, 滑移长度

Abstract: For the design and applications of mechanical systems, the elasto-plastic contact impact phenomenon among the multi-body surfaces was one of the key mechanics problems, which contained complex physical and mechanics properties. There still were many controversies and mysteries regarding the analysis and characterization of key parameters such as contact force. For the elasto-plastic oblique contact-impact events, the calculated formulas of instantaneous contact forces and contact deformations were established based on the Brake indentation model, and the elasto-plastic contact impact process from the contact deformations was described systematically in detail. The internal relationship among impact duration, permanent deformation and sliding length was analyzed analytically based on the generalized momentum theorem, and the permanent deformations and sliding lengths expressed in the integral form were obtained respectively, and then, combined with testing data for the motions of the impact objects before and after contact impact reported in literatures, the analytical solution was obtained. The deformation region of the impacted object after the contact impact was measured, and the comparative analysis was also performed. The experimental and numerical results show that the calculated results of the permanent deformations and sliding lengths solved by using the approach developed by the generalized momentum theorem are found to be in good agreement with the experimental data. And this approach yields more accurate results compared to the direct integration of mathematical equations using the Brake indentation model.

Key words: elasto-plastic, oblique impact, impact duration, permanent deformation, sliding length

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