自平衡条件对槽形梁力学特性影响的分析  

Analysis of Influence of Self-Equilibrium Condition on Mechanical Property of U-Shape Girder

作　　者：甘亚南[1] 吴亚平[2] 

机构地区：[1]盐城工学院土木工程学院,江苏盐城224051 [2]兰州交通大学土木工程学院,甘肃兰州730070

出　　处：《世界桥梁》2011年第2期43-47,共5页World Bridges

基　　金：国家自然科学基金资助项目(50678076)

摘　　要：为了准确反映槽形梁翼板的位移变化,引入3个广义位移,利用能量变分原理建立槽形梁3个广义位移的控制微分方程和自然边界条件。比较考虑和不考虑剪滞翘曲应力自平衡条件的2种方法,证明该类结构自平衡条件引入的必要性。对槽形梁的自振特性进行研究,进一步证明槽形梁静力分析中自平衡条件引入的合理性。在算例中对解析解与有限元数值解进行对比,证明该分析方法是有效的。To correctly reflect the displacement changes of flange plates of the U-shape girder,three generalized displacement are introduced and the governing differential equations and the corresponding natural boundary conditions of the generalized displacement of the girder are established in accordance with the energy variation principle.The two methods that take into account of and do not take into account of the self-equilibrium condition of shear lag warping stress are compared and the necessity of introduction of the self-equilibrium condition to such type of the girder is verified.The research of the natural vibration characteristics of the girder further supports the rationality of introduction of the self-equilibrium condition to the static analysis of the girder.In the calculation examples,the analytical solutions and the finite element numerical solutions are compared,showing that the analytical method herewith is effective.

关 键 词：板梁桥 槽形梁 剪力滞后 自平衡条件 能量变分原理 

分 类 号：TU441[建筑科学—岩土工程]