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串联缓冲结构压缩响应虚拟质量分析
引用本文:卢富德,陶伟明,高德. 串联缓冲结构压缩响应虚拟质量分析[J]. 浙江大学学报(工学版), 2012, 46(8): 1431-1436. DOI: 10.3785/j.issn.1008-973X.2012.08.012
作者姓名:卢富德  陶伟明  高德
作者单位:1. 浙江大学 航空航天学院,浙江 杭州 310027;2. 浙江大学 宁波理工学院,浙江 宁波315100
基金项目:国家“十二五”科技支撑资助项目(2011BAD24B01)
摘    要:为研究串联缓冲结构的压缩响应,基于缓冲材料的本构关系,提出虚拟质量方法.该方法通过引入虚拟质量,将串联缓冲结构的准静态压缩用动态方程表示,并采用Runge-Kutta法求解.对EBE楞瓦楞纸板和发泡聚乙烯的3种组合串联板的等效应力-应变关系进行分析, 计算结果与试验数据吻合较好,验证了提出方法的有效性;分析讨论串联数量和串联顺序对等效应力-应变曲线的影响,计算结果表明,瓦楞纸板串联结构的等效应力-应变曲线上峰值点数等于串联结构中瓦楞芯纸的数目,而发泡聚乙烯串联结构的应力-应变曲线不随串联数的变化而变化,材料的串联顺序对串联缓冲结构的等效性能影响不大.

关 键 词:串联缓冲结构  本构关系  虚拟质量  发泡聚乙烯  瓦楞纸板

Compression responses of series cushioning structures by a virtual mass method
LU Fu-de,TAO Wei-ming,GAO De. Compression responses of series cushioning structures by a virtual mass method[J]. Journal of Zhejiang University(Engineering Science), 2012, 46(8): 1431-1436. DOI: 10.3785/j.issn.1008-973X.2012.08.012
Authors:LU Fu-de  TAO Wei-ming  GAO De
Affiliation:1.School of Aeronautics and Astronautics,Zhejiang University,Hangzhou 310027,China; 2.Ningbo Institute of Technology,Zhejiang University,Ningbo 315100,China)
Abstract:In order to investigate the compression responses of series cushioning structures,a virtual mass method was proposed on the basis of constitutive relationship of the fundamental materials.By introducing virtual masses into the model,the quasi-static compression of the structures was represented by dynamic equations,which were solved by Runge-Kutta method.The equivalent stress-strain relations of three kinds of series structures combining expanded polyethylene layers and/or corrugated boards were analyzed by the present method.The results show good agreement with the experimental data,which demonstrates the effectiveness of the method.The effects of series layer number and stack sequence on equivalent stress-strain relations were then discussed.The results show that the number of peak points on stress-strain curves is equal to the number of corrugating media for series structures of corrugated board.However,the number of expanded polyehylene layers has no effect on stress-strain responses of the structures of pure expanded polyethylene.Furthermore,the stack sequence of materials can barely affects the equivalent properties of series cushioning structures.
Keywords:series cushioning structure  constitutive relationship  virtual mass method  expanded polyethylene  corrugated board
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