薄壁箱梁弯翘的梁段板元法  

A beam-segment plate element method for calculating bending-warping of thin-walled box beams

作　　者：袁国清[1] 李丽芬[2] 

机构地区：[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

出　　处：《武汉大学学报（工学版）》2007年第4期78-80,84,共4页Engineering Journal of Wuhan University

基　　金：国家自然科学基金资助项目(编号:50378019);广东省自然科学基金资助项目(编号:034066)

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.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.

关 键 词：薄壁箱梁 弯翘 位移模式 梁段板元 

分 类 号：TU223[建筑科学—建筑设计及理论]