T形梁静力学特性分析的能量变分法  

ENERGY-VARIATIONAL METHOD OF STATIC ANALYSIS OF THIN-WALLED T-SHAPED BEAMS

作　　者：吴发红[1] 崔传宗[2] 

机构地区：[1]盐城工学院土木工程学院,江苏盐城224051 [2]中国电子工程设计院,北京100840

出　　处：《工业建筑》2012年第7期142-146,共5页Industrial Construction

基　　金：国家自然科学基金资助项目(50578054)

摘　　要：考虑了剪力滞后、剪滞翘曲应力自平衡条件和剪切变形等因素的影响,提出了一种对薄壁T形梁静力学特性的分析方法。以最小势能原理为基础,建立了T形梁静力学特性的控制微分方程和自然边界条件,据此对T形梁力学特性进行了研究。分析了剪滞翘曲应力自平衡条件、不同荷载形式和宽跨比等因素对T形梁静力学特性的影响,最后,通过解析解与有限元数值解进行了比较,说明了该分析方法的有效性。In consideration of shear lag and shear deformation effects, It was proposed an approach of analyzing the static characteristics of T-beams generally used in projects. A new warping displacement mode of T-beams was chosen to meet the axial self-equilibrium condition for corresponding stress, three generalized displacement functions were employed in analyzing static characteristics of the thin-walled T-beams with wide flanges by calculus of variations, the differential equations and the corresponding natural boundary conditions of the T-beams are induced based on the minimum potential principle. According to the fundamental differential equations and the corresponding natural boundary conditions, the static characteristics of thin-walled T-beams are discussed. The finite element solutions were compared with the analytical solutions and verified the validity of the proposed approach.

关 键 词：结构工程 T形梁 剪力滞后 能量变分原理 

分 类 号：U448.212[建筑科学—桥梁与隧道工程] U44[交通运输工程—道路与铁道工程]