刚体碰撞约束柔性体局部撞击载荷特征分析
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摘要
目的掌握碰撞局部撞击载荷及其特征,为产品安全防护设计、碰撞响应分析与评估提供理论基础。方法抽象刚体碰撞柔性体的共性特征,分别将被撞击柔性体的碰撞局部刚度特性和整体结构效应表征为弹簧力-位移关系,建立系统的二自由度刚-柔碰撞动力学模型,应用数值方法系统分析刚柔碰撞局部撞击载荷的特征及不同因素的影响。结果获得了刚体初始碰撞速度、柔性体碰撞局部刚度特性与整体结构效应等主要因素对局部撞击载荷时程、冲量、峰值和脉宽等撞击载荷特征的影响规律。结论深化了刚-柔碰撞局部撞击载荷的认知,为防护结构设计提供了理论基础。
The work aims to understand the local impact force and characteristics of collisions, so as to provide a theoretical basis for product safety protection design, and analysis and evaluation of impact response. The local stiffness characteristics and overall structural effects of the collided flexible body were respectively characterized as the spring force-displacement relationship by abstracting common features of rigid-flexible collision. A two-degree-of-freedom rigid-flexible collision dynamics model of the system was established. The characteristics and different influencing factors of local impact force between rigid body and constrained flexible body were analyzed systematically with numerical methods. The law of influences of the main factors such as the initial collision velocity of the rigid body, the local stiffness characteristics and the overall structural effect of the flexible body impact on the characteristics such as time history, impulse, peak and pulse width of the local impact force were obtained. The understanding of the local impact force of rigid-flexible collision is deepened to provide the theoretical basis for the protective structure design.
The work aims to understand the local impact force and characteristics of collisions, so as to provide a theoretical basis for product safety protection design, and analysis and evaluation of impact response. The local stiffness characteristics and overall structural effects of the collided flexible body were respectively characterized as the spring force-displacement relationship by abstracting common features of rigid-flexible collision. A two-degree-of-freedom rigid-flexible collision dynamics model of the system was established. The characteristics and different influencing factors of local impact force between rigid body and constrained flexible body were analyzed systematically with numerical methods. The law of influences of the main factors such as the initial collision velocity of the rigid body, the local stiffness characteristics and the overall structural effect of the flexible body impact on the characteristics such as time history, impulse, peak and pulse width of the local impact force were obtained. The understanding of the local impact force of rigid-flexible collision is deepened to provide the theoretical basis for the protective structure design.
引文
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[15]白争锋,赵阳,田浩.柔性多体系统碰撞动力学研究[J].振动与冲击,2009,28(6):75-78.BAI Zheng-feng,ZHAO Yang,TIAN Hao.Study on Contact Dynamics for Flexible Multi-body System[J].Journal of Vibration and Shock,2009,28(6):75-78.
[16]秦志英,陆启韶.基于恢复系数的碰撞过程模型分析[J].动力学与控制学报,2006,4(4):294-298.QIN Zhi-ying,LU Qi-shao.Analysis of Impact Process Model Based on Restitution Coefficien[J].Journal of Dynamics and Control,2006,4(4):294-298.
[17]李界全,张南,高闵.桥墩撞击力计算及影响因素研究[J].公路工程,2018,43(2):23-29.LI Jie-quan,ZHANG Nan,GAO Min.Research on Calculation and Influence Factors of Impact Force of Piers[J].Highway Engineering,2018,43(2):23-29.
[18]郝雪清,陈江义.不同运动副材料对间隙机构动力学特性的影响[J].振动与冲击,2012,31(12):19-21.HAO Xue-qing,CHEN Jiang-yi.Effects of Different Materials in Joints on Dynamic Characteristics of a Mechanism with Clearance[J].Journal of Vibration and Shock,2012,31(12):19-21.
[2]汪敏,石少卿,阳友奎.新型柔性棚洞在落石冲击作用下的试验研究[J].土木工程学报,2013,46(9):131-138.WANG Min,SHI Shao-qing,YANG You-kui.Experimental Study on a New Type Flexible Rock-shed under Impact of Rockfall[J].China Civil Engineering Journal,2013,46(9):131-138.
[3]温旭明,李林安,刘习军,等.船桥多柔体碰撞系统的动力响应分析[J].空间结构,2016,22(1):73-78.WEN Xu-ming,LI Lin-an,LIU Xi-jun,et al.Analysis on Dynamic Response of Flexible Ship-bridge Multi-body Impact System[J].Spatial Structures,2016,22(1):73-78.
[4]陈向东,金先龙,杜新光.基于并行算法的船桥碰撞数值模拟分析[J].振动与冲击,2008,27(9):82-86.CHEN Xiang-dong,JIN Xian-long,DU Xin-guang.Simulation Analysis of Ship-bridge Collision Based on Parallel Computing[J].Journal of Vibration and Shock,2008,27(9):82-86.
[5]徐伟芳,谢若泽,钟卫洲.抗事故包装箱的跌落冲击分析技术[J].包装工程,2017,38(21):33-38.XU Wei-fang,XIE Ruo-ze,ZHONG Wei-zhou.Drop Impact Analysis Technique of Accident-resistant Container[J].Packaging Engineering,2017,38(21):33-38.
[6]田静敏,黄秀玲.包装件跌落冲击研究现状[J].包装工程,2016,37(11):199-203.TIAN Jing-min,HUANG Xiu-ling.Status of Package Dropping Impact Research[J].Packaging Engineering,2016,37(11):199-203.
[7]白争锋,赵阳,赵志刚.考虑运动副间隙的机构动态特性研究[J].振动与冲击,2011,30(11):17-20.BAI Zheng-feng,ZHAO Yang,ZHAO Zhi-gang.Dynamic Characteristics of Mechanisms with Jiont Clearance[J].Journal of Vibration and Shock,2011,30(11):17-20.
[8]董富祥,洪嘉振.多体系统动力学碰撞问题研究综述[J].力学进展,2009,39(3):352-359.DONG Fu-xiang,HONG Jia-zhen.Review of Impact Problem for Dynamics of Multibody System[J].Advances in Mechanics,2009,39(3):352-359.
[9]刘才山,陈滨.多柔体系统碰撞动力学研究综述[J].力学进展,2000,30(1):7-14.LIU Cai-shan,CHEN Bin.A Global Review for the Impact Dynamic Research of Flexible Multibody Systems[J].Advances in Mechanics,2000,30(1):7-14.
[10]WEHAGE R A,HAUG E J.Dynamic Analysis of Mechanical Systems with Intermittent Motion[J].Journal of Mechanical Design,1982,104(4):778-784
[11]KHULIEF Y A,SHABANA A A.A Continuous Force Model for the Impact Analysis of Flexible Multibody Systems[J].Mechanism&Machine Theory,1987,22(3):213-224.
[12]LI Y,QUAN Q,TANG D,et al.A Continuous Contact Force Model of Planar Revolute Joint Based on Fitting Method[J].Advances in Mechanical Engineering,2017,9(2):1-13.
[13]SHEN Y,XIANG D,WANG X,et al.A Contact Force Model Considering Constant External Forces for Impact Analysis in Multibody Dynamics[J].Multibody System Dynamics,2018,44(4):397-419.
[14]DUAN Y C,LI X,ZHANG W W,et al.Impact Dynamics of Flexible Multibody System Based on Continuous Contact Force Method[C]//Applied Mechanics and Materials,Trans Tech Publications,2015,744:1628-1634.
[15]白争锋,赵阳,田浩.柔性多体系统碰撞动力学研究[J].振动与冲击,2009,28(6):75-78.BAI Zheng-feng,ZHAO Yang,TIAN Hao.Study on Contact Dynamics for Flexible Multi-body System[J].Journal of Vibration and Shock,2009,28(6):75-78.
[16]秦志英,陆启韶.基于恢复系数的碰撞过程模型分析[J].动力学与控制学报,2006,4(4):294-298.QIN Zhi-ying,LU Qi-shao.Analysis of Impact Process Model Based on Restitution Coefficien[J].Journal of Dynamics and Control,2006,4(4):294-298.
[17]李界全,张南,高闵.桥墩撞击力计算及影响因素研究[J].公路工程,2018,43(2):23-29.LI Jie-quan,ZHANG Nan,GAO Min.Research on Calculation and Influence Factors of Impact Force of Piers[J].Highway Engineering,2018,43(2):23-29.
[18]郝雪清,陈江义.不同运动副材料对间隙机构动力学特性的影响[J].振动与冲击,2012,31(12):19-21.HAO Xue-qing,CHEN Jiang-yi.Effects of Different Materials in Joints on Dynamic Characteristics of a Mechanism with Clearance[J].Journal of Vibration and Shock,2012,31(12):19-21.