单一水平胞壁缺损对双层全三角格栅材料应力分布的影响

朱志韦; 邓子辰; 王艳

单一水平胞壁缺损对双层全三角格栅材料应力分布的影响

1.
西北工业大学工程力学系, 西安 710072;
2.
大连理工大学工业装备结构分析国家重点实验室, 大连 116024

基金项目:

国家基础研究计划973项目(2011CB610300)

国家自然科学基金项目(10972182,11172239)

111引智计划项目(B07050)

高校博士点基金项目(20106102110019)

大连理工大学工业装备结构分析国家重点实验室开放基金项目(GZ0802)

西北工业大学研究生创业种子基金项目(Z2011070)资助

详细信息

作者简介:
朱志韦(1986-),博士研究生,研究方向为轻质材料优化设计,zhuzhiwei@mail.nwpu.edu.cn;邓子辰,教授,博士,dwenfan@nwpu.edu.cn

朱志韦(1986-),博士研究生,研究方向为轻质材料优化设计,zhuzhiwei@mail.nwpu.edu.cn;邓子辰,教授,博士,dwenfan@nwpu.edu.cn

计量
- 文章访问数: 189
- HTML全文浏览量: 31
- PDF下载量: 4
- 被引次数: 0
出版历程
- 收稿日期: 2012-02-20

Effects of an Imperfect Horizontal Structure on Stress Distribution of Two-layer Fully Triangular Grid Material

1.
Department of Engineering Mechanics,Northwestern Polythechnical University,Xi'an 710072;
2.
State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian 116024

摘要

摘要: 采用结构变更原理和单元传递矩阵法,分析了单一水平胞壁缺损对双层全三角格栅材料应力分布的影响规律。根据全三角格栅结构胞壁以拉压变形为主的特性和结构变更原理,将缺损胞壁对结构应力的影响等效为一对集中力作用下的完整桁架结构应力分布。理论分析发现:缺损胞壁对周围胞壁应力影响呈指数形式递减,递减系数可通过结构单元传递矩阵的特征值求得,与胞壁的缺损程度无关。本文中缺损胞壁对双层全三角格栅结构应力影响递减系数为0.267 9,此结论通过有限元模拟得到验证。
- 胞壁缺损 /
- 格栅材料 /
- 结构变更原理 /
- 传递矩阵特征值法
Abstract: The effects of an imperfect horizontal strut of two-layer fully triangular grid material on the stress distri-bution are investigated analytically and numerically. Based on the structural variation method,an analytical equiva-lent model was proposed to quantify the influence of the imperfect strut on the stress distribution of the structure.The results show that the influence is independent with the imperfection degree and the stresses caused by the im-perfect strut are decaying in a fixed rate that is equal to the Saint-Venant decay rate obtained by the transfer matrixmethod. The finite element simulations are used to validate the predictions.
- imperfect lattice material /
- transfer matrix method /
- structural variation method /
- triangular grid material

HTML全文

参考文献(11)

[1]	Gibson L J，Ashby M F.Cellular Solids: Structure and Prop-erties ( Seconded) [M].Cambridge: Cambridge UniversityPress, 1997
[2]	Deshpande V S，Ashby M F，Fleck N A.Form topology bendingversus stretching dominated architectures[J]. Acta Materialia，2001, 49:1035～1040
[3]	方岱宁等.轻质点阵材料力学与多功能设计[M].北京:科学出版社, 2009
[4]	Silva M J，Gibson L J.The effects of non-periodic microstruc-tures and defects on the compressive strength of two-dimensionalcellular solids[J].International Journal of Mechanical Sci-ences, 1997, 39:549～563
[5]	Chen C, Lu T J, Fleck N A.Effect of imperfections on the yield-ing of two-dimensional foams[J]. Journal of the Mechanicsand Physics of Solids, 1999, 47(11):2235～2272
[6]	Symons D D，Fleck N A.The imperfection sensitivity of isotropictwo-dimensional elastic lattices[J].Journal of AppliedMechanics, 2008, 75(5)
[7]	Cui X D，Zhang Y H，Zhang H，Lu T J，Fang D N.Stressconcentration in two-dimensional lattices with imperfections[J].Acta Mechanica, 2011, 216(1):105～122
[8]	Saka M P.Finite element applications of the theorems of structur-al variation[J]. Computers and Structures，1991, 41:519～530
[9]	徐芝纶.弹性力学简明教程[M]. 北京:高等教育出版社, 2002
[10]	Stephen N G，Wang P J.On saint-venat's principle in pin-joint-ed frameworks[J].International Journal of Solids and Sruc-tures, 1996, 33:79～97
[11]	Stephen N G，Wang P J.On transfer matrix eigenanalysis of pin-jointed frameworks[J]. Computers and Structures，2000, 78:603～615