槽形截面梁静力学特性的研究  

STUDY ON STATIC CHARACTERISTICS OF U-SHAPE BEAMS

作　　者：段敬民[1,2] 钱永久[3] 

机构地区：[1]天津城市建设学院土木工程系,天津300384 [2]河南理工大学土木工程学院,河南焦作454010 [3]西南交通大学土木工程学院,成都610031

出　　处：《工程力学》2010年第9期128-132,共5页Engineering Mechanics

基　　金：国家自然科学基金项目(50574037);高等学校优秀青年教师教学科研奖励计划项目(A0110719950102);河南省重点学科(509919-507909)

摘　　要：该文综合考虑了槽形梁的剪切变形和剪滞翘曲应力的自平衡条件,以最小势能原理为基础建立了槽形结构三个广义位移的控制微分方程和自然边界条件,获得了相应广义位移的闭合解,提出了一种对槽形梁静力学特性的准确分析方法。算例中详细分析了剪切变形、剪力滞后和自平衡条件等因素对槽形梁挠度和应力的贡献,明确了槽形梁的静力学特点。该文解析解与有限元数值解进行了比较,证明了该文方法的有效性。Based on the minimum potential principle, three generalized displacement functions are applied to establish the governing differential equations of the U-shaped beams considering the shear deformation, shear lag effect and self-equilibrium condition for shear lag warping stress. Given corresponding natural boundary conditions, the closed-form solutions of generalized displacements are obtained. This paper proposes an approach to analyzing mechanical characteristics of U-shaped beams generally used in structure engineering, and the contribution of shear deformation, shear lag effect and self-equilibrium condition to the deflection and stress of the U-shaped beam is discussed. The calculation examples compare the finite element solutions with the analytical solutions and the validity of the proposed approach is verified.

关 键 词：槽形结构 剪切变形 自平衡条件 最小势能原理 静力学特性 

分 类 号：TU392.1[建筑科学—结构工程] TU313