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薄壁箱梁弯翘的梁段板元法
引用本文:袁国清,李丽芬.薄壁箱梁弯翘的梁段板元法[J].武汉大学学报(工学版),2007,40(4):78-80,84.
作者姓名:袁国清  李丽芬
作者单位:1. 五邑大学土木建筑系,广东,江门,529020
2. 佛山科学技术学院土木建筑系,广东,佛山,528000
基金项目:国家自然科学基金;广东省自然科学基金
摘    要:建立了考虑弯翘影响的三节点七自由度的梁段板元有限单元模型,提出一种能对工程中常用的等截面或变截面箱梁弯翘进行分析的方法.采用二节点三次形函数的弯曲位移模式和三节点二次形函数的剪翘位移模式,应用能量变分原理,导出了箱梁弯翘的单元刚度矩阵和荷载列阵.利用该方法对等截面和变截面箱梁进行了计算,并与一般弯曲理论结果作了比较.

关 键 词:薄壁箱梁  弯翘  位移模式  梁段板元
文章编号:1671-8844(2007)04-0078-03
修稿时间:2006-12-20

A beam-segment plate element method for calculating bending-warping of thin-walled box beams
YUAN Guoqing,LI Lifen.A beam-segment plate element method for calculating bending-warping of thin-walled box beams[J].Engineering Journal of Wuhan University,2007,40(4):78-80,84.
Authors:YUAN Guoqing  LI Lifen
Affiliation:1. Department of Civil Architecture, Wuyi University, Jiangmen 529020,China; 2. Department of Civil Architecture, Foshan University of Science and Technology, Foshan 528000,China
Abstract:A beam-segment plate element model with three-node and seven-degree-of-freedom is established considering bending-warping effects.And a method for analyzing bending-warping of a box beam with conventional uniform or variable cross-section,is put forward.By using the bending displacement pattern of two-node and cubic shape function,the shearing-warping displacement pattern of three-node and second-degree shape function,and variational principle of energy;the element stiffness matrix and load column matrix are derived.For a uniform and variable cross-section box beam,a case study is given by using the proposed method;and the results are compared with ones obtained from general flexure theory.
Keywords:thin-walled box beam  bending-warping  displacement mode  beam segment plate element
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