不同模量横力弯曲梁的解析解

姚文娟; 叶志明

不同模量横力弯曲梁的解析解

上海大学土木系,上海市应用数学和力学研究所上海 200072

详细信息

作者简介:
姚文娟(1957- ),女,江西南昌人,副教授,博士(联系人.Tel:+86-21-66305773;Fax:+86-21-56337100;E-mail:wjyao@staff.shu.edu.cn)

中图分类号: O343.5
计量
- 文章访问数: 2796
- HTML全文浏览量: 159
- PDF下载量: 670
- 被引次数: 0
出版历程
- 收稿日期: 2003-03-06
- 修回日期: 2004-05-31
- 刊出日期: 2004-10-15

Analytical Solution for Bending Beam Subject to Lateral Force With Different Modulus

Department of Civil Engineering, Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China

摘要

摘要: 选择处于平面复杂应力状态下横力弯曲梁，对结构进行了中性层的判定，推导出中性轴、正应力、剪应力、位移的计算公式，得到如下结论：对于复杂应力状态下的不同模量弹性弯曲梁，其中性轴位置与剪应力无关，因此用正应力作为判据而得到解析解，改进了以往用主应力判定中性点的多次循环的计算方法．把解析解的结果与经典力学同模量理论，以及有限元数值解进行了比较，结果表明：解析解很好地考虑了拉压不同模量的效应．还提出了对不同模量结构的计算修正以及对结构优化的思想．
- 拉压不同模量 /
- 中性轴 /
- 横力梁 /
- 解析解
Abstract: A bending beam,subjected to two state of plane stress,was chosen to investigate.The determination of the neutral surface of the structure was made,and the calculating formulas of neutral axis,normal stress,shear stress and displacement were derived.It is concluded that,for the elastic bending beam with different tension-compression modulus in the condition of complex stress,the position of the neutral axis is not related with the shear stress,and the analytical solution can be derived by normal stress used as a criterion,improving the multiple cyclic method which determines the position of neutral point by the principal stress.Meanwhile,a comparison is made between the results of the analytical solution and those calculated from the classic mechanics theory,assuming the tension modulus is equal to the compression modulus,and those from the finite element method (FEM) numerical solution.The comparison shows that the analytical solution considers well the effects caused by the condition of different tension and compression modulus.Finally,a calculation correction of the structure with different modulus is proposed to optimize the structure.
- different tension-compression modulus /
- neutralaxis /
- beam subjected to lateral force /
- analytical solution

HTML全文

参考文献(14)

[1]	Medri G. A nonlinear elastic model for isotropic materials with different behavior in tension and compression[J].Transactions of the ASME,1982,26(104):26—28.
[2]	Амбарцумян С А.不同模量弹性理论[M].邬瑞锋，张允真译.北京：中国铁道出版社，1986.
[3]	Srinivasan R S , Ramachandra L S.Large deflection analysis of bimodulus annular and circular plates using finite elements[J].Computers & Structures, 1989,31(5):681—691.
[4]	Srinivasan R S, Ramachandra L S. Axisymmetric buckling and post-bucking of bimodulus annular plates[J].Eng Struct,1989,11(7):195—198. doi: 10.1016/0141-0296(89)90007-2
[5]	张允真，王志锋，不同模量弹性力学问题的有限元法[J].计算结构力学及其应用，1989，6(1):236—246.
[6]	Papazoglou J L, Tsouvalis N G, Mechanical behaviour of bimodulus laminated plates[J].Composite Structures,1991,17(1):1—22.
[7]	杨海天，邬瑞锋，杨克检，等.初应力法解拉压双弹性模量问题[J].大连理工大学学报，1992，32（1）:35—39.
[8]	TSENG Yi-ping,LEE Cheng-tao. Bending analysis of bimodular laminates using a higher-order finite strip method[J].Composite Structures,1995,30(4)：341—350. doi: 10.1016/0263-8223(94)00048-4
[9]	YE Zhi-ming.A new finite element formulation for planar elastic deformation[J].Internat J for Numerical Methods in Engineering,1997,14(40):2579—2592.
[10]	TSENG Yi-ping,JIANG Yu-ching. Stress analysis of bimodular laminates using hybrid stress plate elements[J].International Journal of Solids Structures,1998,35(17):2025—2028. doi: 10.1016/S0020-7683(97)00170-4
[11]	YE Zhi-ming,YU Huang-ran,YAO Wen-juan.A finite element formulation for different Young's modulus when tension and compression loading[A].In:Jin Ho Kwak Ed.Com2Mac Conference on Computational Mathematics[C].South Korea: Pohang University of Science and Technology,2001,2—5.
[12]	Raffaele Zinno, Fabrizio Greco.Damage evolution in bimodular laminated composites[J].Composite Structures,2001,53(4):381—402. doi: 10.1016/S0263-8223(01)00048-4
[13]	Gao X -L,Li K,Mall S.A mechanics-of-materials model for predicting Young's modulus of damaged woven fabric composites involving three damage modes[J].International Journal of Solids and Structures,2003,40(4):981—999. doi: 10.1016/S0020-7683(02)00603-0
[14]	姚文娟,叶志明.不同模量弯压柱的解析解[J].应用数学和力学，2004，[STHZ]. 25[STBZ]. (9):901—909.

施引文献

资源附件(0)

访问统计

计量

文章访问数: 2796
HTML全文浏览量: 159
PDF下载量: 670
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

不同模量横力弯曲梁的解析解

作者简介:
姚文娟(1957- ),女,江西南昌人,副教授,博士(联系人.Tel:+86-21-66305773;Fax:+86-21-56337100;E-mail:wjyao@staff.shu.edu.cn)

计量

Analytical Solution for Bending Beam Subject to Lateral Force With Different Modulus

计量

目录

留言板

不同模量横力弯曲梁的解析解

作者简介: 姚文娟(1957- ),女,江西南昌人,副教授,博士(联系人.Tel:+86-21-66305773;Fax:+86-21-56337100;E-mail:wjyao@staff.shu.edu.cn)

计量

出版历程

Analytical Solution for Bending Beam Subject to Lateral Force With Different Modulus

计量

出版历程

目录

作者简介:
姚文娟(1957- ),女,江西南昌人,副教授,博士(联系人.Tel:+86-21-66305773;Fax:+86-21-56337100;E-mail:wjyao@staff.shu.edu.cn)