基于功率流的瞬态响应分析及能量波的可视化研究
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摘要
以钢球和钢块的碰撞作为模型,基于有限元的功率流理论研究了碰撞的瞬态响应。对瞬态响应实现了钢球和钢块碰撞功率流云图及矢量图的可视化,并绘制出了碰撞瞬态响应的时间历程功率流云图及功率流矢量图,从而快速而准确地获得结构体能量在传递过程中任一时刻的大小和方向;提出了弹性体内部能量波的概念,并通过与经典的应力波分析比较说明:基于能量波的功率流云图比应力云图更明显的显示出碰撞过程中的无旋波和等容波,即能量波比应力波更能表现出结构内部的波动性。最后分析了钢球和钢块碰撞时的接触力及碰撞过程中的能量守恒。
Study the transient response due to a collision based on the theory of power flow finite element method with the collision model consisting of a steel ball and a steel block. Realize the visualization of power nephogram and power vectorgraph for the transient response. And draw out the power nephogram animation and vectorgraph animation for the transient response in the process of collision to obtain the magnitude and direction of energy transmission quickly and accurately at any moment in the structure body. Put forward a concept of energy wave in the elastomer. Through comparing with the stress wave,it is verified that the power nephogram is more obvious than the stress nephogram in showing the irrotational wave and shear wave in the process of collision. That is to say,the energy wave is better than the stress wave in showing the volatility in the elastomer. Analyse the contact force and energy conservation in the process of collision in the end.
Study the transient response due to a collision based on the theory of power flow finite element method with the collision model consisting of a steel ball and a steel block. Realize the visualization of power nephogram and power vectorgraph for the transient response. And draw out the power nephogram animation and vectorgraph animation for the transient response in the process of collision to obtain the magnitude and direction of energy transmission quickly and accurately at any moment in the structure body. Put forward a concept of energy wave in the elastomer. Through comparing with the stress wave,it is verified that the power nephogram is more obvious than the stress nephogram in showing the irrotational wave and shear wave in the process of collision. That is to say,the energy wave is better than the stress wave in showing the volatility in the elastomer. Analyse the contact force and energy conservation in the process of collision in the end.
引文
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[16]朱跃峰.基于ABAQUS的显式动力学分析方法研究[J].机械设计与制造,2015(3):107-109.ZHU Yuefeng.Research on analysis methods of explicit dynamics based on ABAQUS[J].Machinery Design&Manufacture,2015(3):107-109.
[2]CUSCHIERI J M.Structural power-flow analysis using a mobility approach of an L-shaped plate[J].Journal of the Acoustical Society of America,1990,87(3):1159-1165.
[3]KESSISSOGLOU N J.Power transmission in L-shaped plates including flexural and in-plane vibration[J].Joumal of the Acoustical Society of America,2004,115(3):1157-1169.
[4]LYON R H.Statistical energy analysis of dynamical systems:theory and application[J].Annals of Probability an Official Journal of the Institute of Mathematical Statistics,1975,28(9):430.
[5]WILLIAMS E G.A technique for measurement of structurebome intensity in plates[J].Joumal of the Acoustical Society of America,1985,78(6):2061-2068.
[6]NEFSKE D J,SUNG S H.Power flow finite element analysis of dynamic system:Basic theory and application to beams[J].Transactions of the ASME,1989,111:94-100.
[7]GAVRIC L,PAVIC G.Finite element method forcomputation of structural intensity by the normal mode approach[J].Journal of Sound and Vibration,1993,164(1):29-43.
[8]游进,李鸿光,孟光.耦合板结构随机能量有限元分析[J].振动与冲击,2009,28(11):43-46.YOU Jin,LI Hongguang,MENG Guang.Random energy finite element analysis of coupled plate structures[J].Journal of Vibration and Shock,2009,28(11):43-46.
[9]朱翔,李天匀.基于有限元的损伤结构功率流可视化研究[J].机械工程学报,2009,45(2):132-137.ZHU Xiang,LI Tianyun.Visualization research on the power flow characteristics of damaged structures based on the finite element method[J].Journal of Mechanical Engineering,2009,45(2):132-137.
[10]张雪冰,饶柱石,塔娜,等.变压器油箱振动功率流研究[J].振动与冲击,2009,28(5):188-191.ZHANG Xuebing,RAO Zhushi,TA Na,et al.Power flow of transformer tank[J].Journal of Vibration and Shock,2009,28(5):188-191.
[11]LIU Z S,LEE H P,LU C.Structural intensity study of plates under low-velocity impact[J].International Journal of Impact Engineering,2005,31(8):957-975.
[12]ZONG Z,LEE H P,LU C.A three-dimensional human head finite element model and power flow in a human head subject to impact loading[J].Journal of Biomechanics,2006,39(2):284-292.
[13]HALKYARD C R,MASSON P.Time-domain flexural wave intensity estimation in orthotropic Kirchhoff plates[J].Journal of Sound and Vibration,2016,368(28):55-70.
[14]JNICKE H,WIEBEL A,SCHEUERMANN G,et al.Multifield visualizationusing local statistical complexity[J].IEEE Transactions on Vis-ualization and Computer Graphics,2007,13(6):1384-1391.
[15]POST F,VON WALSUM T.Fluid flow Visualization[C]∥Hager H,Muller H,Nielson G M.(Eds)Focus on Scientific Visualization.Spring-Verlag,1993.
[16]朱跃峰.基于ABAQUS的显式动力学分析方法研究[J].机械设计与制造,2015(3):107-109.ZHU Yuefeng.Research on analysis methods of explicit dynamics based on ABAQUS[J].Machinery Design&Manufacture,2015(3):107-109.