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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振动与冲击 ›› 2017, Vol. 36 ›› Issue (14) : 142-146.

论文

向玲，郑水清，高雪媛

作者信息 +

Study on Transient Response Based on Power Flow and Visualization of Energy Wave

XIANG Ling,ZHENG Shui-qing,GAO xue-yuan

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文章历史 +

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。

Abstract

Study the transient response of the collision based on the theory of power flow finite element method with a collision model of steel ball and steel block. Realize the visualization of power nephogram and power vectorgraph about transient response . And draw out the power nephogram animation and vectorgraph animation about the transient response in the process of collision to obtain the magnitude and direction of energy quickly and accurately at any moment in the structure body. Put forward a concept of energy wave in the elastomer. Through comparing with stress wave, it is verified that power nephogram is more obvious than stress nephogram in showwing the irrotational wave and shear wave in the process of collision. That is to say, energy wave is better than stress wave in showwing the volatility in the elastomer. Analysis the contact force and energy conservation in the process of collision in the end.

导出引用

向玲，郑水清，高雪媛. 基于功率流的瞬态响应分析及能量波的可视化研究[J]. 振动与冲击, 2017, 36(14): 142-146

XIANG Ling,ZHENG Shui-qing,GAO xue-yuan. Study on Transient Response Based on Power Flow and Visualization of Energy Wave[J]. Journal of Vibration and Shock, 2017, 36(14): 142-146

参考文献

[1] Graff K F. Wave motion in elastic solids. Oxford: Claremdon press, 1975,87(3):1159-1165.
[2] Cuschieri J M. Structural power-flow analysis using a mobility approach of an L-shaped plate [J]. The Journal of the Acoustical Society of America, 1990.
[3] Kessissoglou N J. Power transmission in L-shaped plates including flexural and in-plane vibration [J]. The Journal of the Acoustical Society of America, 2004, 115(3), 1157-1169.
[4] R．H．Lyon．Statistical energy analysis of dynamical systems：theory and application[J] . M.I.T.Press，1975.
[5] E．G．Williams. A technique for measurement of structure-bome intensity in plates[J]. J．A．S．A．，1985，Vol．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, Vol.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，等. 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 Hong-guang, et al. 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,Tian-jun. 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，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 Xue-bing, RAO Zhu-shi, et al. Power flow of transformer tank[J]. Journal of Vibration and Shock, 2009, 28(5): 188-191.
[11] Liu Z. S., H. P. Lee, and C. Lu. Structural intensity study of plates under low-velocity impact[J]. International Journal of Impact Engineering , 2005, 31(8): 957-975.
[12] Zong Z., H. P. Lee, and C. Lu. 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., and P. Masson. Time-domain flexural wave intensity estimation in orthotropic Kirchhoff plates[J]. Journal of Sound and Vibration, 2016, 368(28): 55-70.
[14] Jänicke 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] //HagerH, 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 Yue-feng. Research on analysis methods of explicit dynamics based on ABAQUS[J]. Machinery Design ＆ Manufacture, 2015(3):107-109.