基于有限元方法的蜘蛛网阻拦猎物过程模拟

于晖; 杨嘉陵; 刘华

doi:10.13700/j.bh.1001-5965.2015.0089

基于有限元方法的蜘蛛网阻拦猎物过程模拟

doi: 10.13700/j.bh.1001-5965.2015.0089

北京麻豆精品秘国产传媒航空科学与工程学院, 北京 100083

基金项目:

国家自然科学基金(11032001)

详细信息

作者简介:
于晖男,博士研究生。主要研究方向:仿生原理在冲击动力学中的应用。Tel.:010-82317507 E-mail:yuhui@cq5520.com;杨嘉陵男,博士,教授,博士生导师。主要研究方向:冲击动力学与飞行器耐撞性。Tel.:010-82317507 E-mail:jlyang@cq5520.com;刘华女,博士,教授。主要研究方向:冲击动力学。Tel.:010-82317507 E-mail:liuhuarui@cq5520.com

通讯作者:
刘华,Tel.:010-82317507 E-mail:liuhuarui@cq5520.com

中图分类号: O347.1
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出版历程
- 收稿日期: 2015-02-10
- 网络出版日期: 2016-02-20

Simulation of prey stopping process by spider webs based on finite element method

School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

摘要

摘要: 为揭示蜘蛛网阻拦猎物过程的内在力学规律,基于理论和有限元方法对这一过程进行了研究。首先,根据已有实验结果建立了蜘蛛网径线和周线的应力-应变关系。然后,给出了单根丝线受横向冲击问题的理论解,并利用LS-DYNA有限元软件对该问题进行了数值模拟,有限元数值解与理论解一致。最后,利用LS-DYNA有限元软件模拟了蜘蛛网阻拦猎物的过程,得到的网内最大应变值和能量曲线与已有实验结果一致。计算结果表明,在蜘蛛网对猎物动能的耗散中,径线占主导地位;与冲击位置相邻的径线应力水平很低,有利于蜘蛛网的修复,径线中点附近的区域最有利于较大初始动能猎物的阻拦。
- 蜘蛛网 /
- 冲击 /
- 有限元方法 /
- 阻拦网 /
- 能量耗散
Abstract: In order to discover the mechanical characteristics of spider webs to capture a flying prey, the actual stopping process is investigated based on the theoretical and finite element methods (FEM). First, the stress-strain relationships were built for radial silks and capture spirals in the orb web from the existing experiments. Then, the dynamic response of a single silk thread under transverse impact was solved theoretically. The problem was also simulated using the LS-DYNA software and the numerical results were in good agreement with the theoretical solution. Finally, the actual process for the real web stopping a flying prey was simulated by the LS-DYNA software. The predicted maximal strain of silks in the web and the energy curves agree with the existing experiment results. The numerical simulation shows that the radial silk plays an important role in absorbing the kinetic energy of the flying prey. The stress of radial silks near the impact point is rather low, which is helpful in localizing the damage of radial threads in contact with the prey and repairing the web. When the prey impacts the web with large kinetic energy, the best intercept area is near the middle region of radial threads.
- spider web /
- impact /
- finite element method /
- arresting cable /
- energy dissipation

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参考文献(20)

[1]	FOELIX R F.Biology of spiders[M].2nd ed.New York:Oxford University Press,1996:330-332.
[2]	BLACKLEDGE T A,KUNTNER M,AGNARSSON I.The form and function of spider orb webs:Evolution from silk to ecosystems[J].Advances in Insect Physiology,2011,41:175-262.
[3]	GOSLINE J,LILLIE M,CORRINGTON E,et al.Elastic proteins:Biological roles and mechanical properties[J].Philosophical Transaction of the Royal Society B,2002,357(1418):121-132.
[4]	VOLLRATH F,PORTER D.Silks as ancient models for modern polymers[J].Polymer,2009,50(24):5623-5632.
[5]	SWANSON B O,BLACKLEDGE T A,HAYASHI C Y.Spider capture silk:Performance implications of variation in an exceptional biomaterial[J].Journal of Experimental Zoology,2007,307A(11):654-666.
[6]	OMENETTO F G,KAPLAN D L.New opportunities for an ancient material[J].Science,2010,329(5991):528-531.
[7]	KELLY S P,SENSENIG A,LORENTZ K A,et al.Damping capacity is evolutionarily conserved in the radial silk of orb-weaving spiders[J].Zoology,2011,114(4):233-238.
[8]	GOSLINE J M,GUERETTE P A,ORTLEPP C S,et al.The mechanical design of spider silk:From fibroin sequence to mechanical function[J].Journal of Experimental Biology,1999,202(23):3295-3303.
[9]	HARMER A M T,BLACKLEDGE T A,MADIN J S,et al.High-performance spider webs:Integrating biomechanics,ecology and behavior[J].Journal of Royal Society Interface,2011,8(57):457-471.
[10]	SENSENIG A,AGNARSSON I,BLACKLEDGE T A.Behavioural and biomaterial coevolution in spider orb webs[J].Journal of Evolutionary Biology,2010,23(9):1839-1856.
[11]	TARAKANOVA A,BUEHLER M J.The role of capture spiral silk properties in the diversification of orb webs[J].Journal of Royal Society Interface,2012,9(77):3240-3248.
[12]	LIN L H,EDMONDS D T,VOLLRATH F.Structural engineering of an orb-spider's web[J].Nature,1995,373(6510):146-148.
[13]	KO F K,JOVICIC J.Modeling of mechanical properties and structural design of spider web[J].Biomacromolecules,2004,5(3):780-785.
[14]	ALAM M S,JENKINS C H.Damage tolerance in naturally compliant structures[J].International Journal of Damage Mechanics,2005,14(4):365-384.
[15]	ALAM M S,WAHAB M A,JENKINS C H.Mechanics in naturally compliant structures[J].Mechanics of Materials,2007,39(2):145-160.
[16]	LIU Y,SHAO Z Z,VOLLRATH F.Elasticity of spider silks[J].Biomacromolecules,2008,9(7):1782-1786.
[17]	DENNY M. The physical properties of spider's silk and their role in the design of orb-webs[J].Journal of Experimental Biology,1976,65(2):483-506.
[18]	VEHOFF T,GLISOVIC A,SCHOLLMEYER H.Mechanical properties of spider dragline silk:Humidity,hysteresis and relaxation[J].Biophysical Journal,2007,93(12):4425-4432.
[19]	LIN L H,SOBEK I W.Structural hierarchy in spider websand spider web type systems[J].The Structural Engineer,1998,76(4):59-64.
[20]	SENSENIG A T,LORENTZ K A,KELLY S P,et al.Spider orb webs rely on radial threads to absorb prey kinetic energy[J].Journal of Royal Society Interface,2012,9(73):1880-1891.