基于数字图像处理方法的弹塑性倾斜接触冲击动力学试验与数值分析

doi:10.3901/JME.2019.01.081

机械工程学报 ›› 2019, Vol. 55 ›› Issue (1): 81-90.doi: 10.3901/JME.2019.01.081

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基于数字图像处理方法的弹塑性倾斜接触冲击动力学试验与数值分析

王尧^1,2, 孟文俊^1,2, 项丹³, 李淑君^1,2

1. 太原科技大学机械工程学院太原 030024;
2. 太原科技大学智能物流装备山西省重点实验室太原 030024;
3. 太重集团油膜轴承分公司太原 030024

收稿日期:2018-01-13 修回日期:2018-09-28 出版日期:2019-01-05 发布日期:2019-01-05
通讯作者: 孟文俊(通信作者),男,1963年出生,博士,教授,博士研究生导师。主要研究方向为机电液一体化系统控制、物流搬运设备及其系统自动化、特殊高性能输送机械关键技术。E-mail:tyustmwj@126.com
作者简介:王尧,男,1988年出生,博士研究生。主要研究方向为系统动力学与控制、接触力学、多物理场耦合仿真方法等。E-mail:710603645@qq.com
基金资助:
国家自然科学基金（51575370）、二〇一六山西省回国留学人员科研（2016-093、2016-094）和山西省研究生优秀创新（2016BY134）资助项目。

Experimental and Numerical Analysis of the Elasto-plastic Oblique Contact-impact Dynamics Using Digital Image Processing Method

WANG Yao^1,2, MENG Wenjun^1,2, XIANG Dan³, LI Shujun^1,2

1. School of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan 030024;
2. Key Laboratory of Intelligent Logistics Equipment of Shanxi Province, Taiyuan University of Science and Technology, Taiyuan 030024;
3. Oil-film Bearing Branch, Taiyuan Heavy Machinery Group Co., Ltd., Taiyuan 030024

Received:2018-01-13 Revised:2018-09-28 Online:2019-01-05 Published:2019-01-05

摘要/Abstract

摘要： 针对弹塑性倾斜冲击问题，测量和预测冲击对象在接触冲击过程中的运动参数及接触力仍然是一个难点。考虑振动响应的影响，结合假设模态法和广义动量定理建立冲击对象的运动模型；根据Jackson-Green模型，将振动响应考虑到接触变形中，系统探讨和研究了弹塑性接触冲击过程中的接触力变化；基于数字图像处理方法，通过设计多标识点的冲击试验，描述与跟踪冲击对象在接触冲击过程中的运动规律，并对恢复系数和冲击后的运动参数进行试验与仿真对比分析。试验与仿真结果表明：滑动摩擦判断条件△呈W形分布，且存在3个临界冲击角，分别为27.5°、42.5°和58.4°；对于初始冲击角θ=45°，接触点冲击后反弹速度、角速度和恢复系数的仿真与试验结果基本吻合，其相对误差均小于5%，验证了所建模型的正确性。

关键词: 弹塑性材料, 恢复系数, 接触力学, 倾斜冲击, 数字图像处理

Abstract: For the elasto-plastic oblique impact problems, it is still difficult to measure and predict the motion parameters and contact force of the impact object during the contact impact events. With consideration of vibration responses, the kinetic model of impact object is established based on the assumed mode method and generalized momentum theorem. Considering the vibration responses in the contact deformation, the changes of contact force during the elasto-plastic contact impact has been studied theoretically based on the Jackson-Green model. The impact test with multi-markers is performed. The digital image processing method is used to describe and track the motion law of the impact object during the contact impact. Experimental results for the coefficient of restitution and the motion parameters after impact have been compared with simulations. The experimental and simulation results show that the judgment condition for sliding friction, △, presents the W-distribution; and, three critical initial impact angles, 27.5°, 42.5°, and 58.4° are found to determine whether the impact object slides or not. For the impact angle θ=45°, simulation results are found to be in good agreement with the experimental data in terms of the rebound velocity of the contact point, the angular velocity and the coefficient of restitution. All the relative error is less than 5%. Thus, it can be verified that the established model is relatively accurate.

Key words: coefficient of restitution, contact mechanics, digital image processing, elastic-plastic material, oblique impact

中图分类号:

TB122
TP751

王尧, 孟文俊, 项丹, 李淑君. 基于数字图像处理方法的弹塑性倾斜接触冲击动力学试验与数值分析[J]. 机械工程学报, 2019, 55(1): 81-90.

WANG Yao, MENG Wenjun, XIANG Dan, LI Shujun. Experimental and Numerical Analysis of the Elasto-plastic Oblique Contact-impact Dynamics Using Digital Image Processing Method[J]. Journal of Mechanical Engineering, 2019, 55(1): 81-90.

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基于数字图像处理方法的弹塑性倾斜接触冲击动力学试验与数值分析

Experimental and Numerical Analysis of the Elasto-plastic Oblique Contact-impact Dynamics Using Digital Image Processing Method

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