考虑自平衡条件槽形曲梁的静力学特性分析  

ANALYSIS OF STATIC CHARACTERISTICS OF THIN-WALLED CURVED U-SHAPED BEAMS CONSIDERING SELF-EQUILIBRIUM

作　　者：甘亚南[1] 荀勇[1] 周广春[2] 

机构地区：[1]盐城工学院土木工程学院,江苏盐城224051 [2]哈尔滨工业大学土木工程学院,黑龙江哈尔滨150090

出　　处：《工程力学》2013年第10期28-34,共7页Engineering Mechanics

基　　金：江苏省高校自然科学研究面上项目(13KJB560014);国家自然科学基金项目(50578054)

摘　　要：考虑了剪滞翘曲应力自平衡条件、剪力滞后、剪切变形和翘曲扭转等因素的影响,以最小势能原理为基础,建立了薄壁槽形曲梁的弹性控制微分方程和自然边界条件,获得了弯、扭、翘和剪滞效应相耦合广义位移的闭合解。算例中,分析了不同荷载形式、曲梁半径R、宽跨比等因素对曲线槽形梁力学特性的影响。该文解析法更好揭示了曲线槽形梁的力学特性以及各参数之间的内在关系,所得公式是对曲梁剪滞理论的发展。In the consideration of shear lag effects, shear deformation and warping torsion, a new warping displacement model of curved U-shaped beams is chosen to meet the axial self-equilibrium condition for shear lag warping stress, and a more accurate approach is proposed to analyze the mechanical characteristics of curved U-shaped beams used in engineering commonly. The minimum potential principle is applied to establish the governing differential equations and corresponding natural boundary conditions, and thus closed-form solutions of generalized displacements are obtained. The variations of stress of curved U-shaped beams are discussed, caused by the change of factors such as a span-width ratio, the radius of curved beams, the type of loading, and the contribution of self-equilibrium conditions, shear lag effects, shear deformations to stress and the deflection of the U-shaped beam is analyzed in detail, and the importance about the introduction of self-equilibrium conditions is proved.

关 键 词：结构工程 剪力滞后 自力平衡条件 最小势能原理 槽形曲梁 

分 类 号：U448.22[建筑科学—桥梁与隧道工程]