考虑自平衡条件T形曲梁的静力学特性分析  

THE ANALYSIS ON STATIC CHARACTERISTICS OF CURVED T-BEAMS IN CONSIDERATION OF SELF-EQUILIBRIUM

作　　者：甘亚南[1] 石飞停[1] 

机构地区：[1]盐城工学院土木工程学院,江苏盐城224051

出　　处：《力学与实践》2015年第1期79-85,共7页Mechanics in Engineering

基　　金：江苏省高校自然科学研究项目(13KJB5600145);国家自然科学基金项目(50578054)资助

摘　　要：为了准确分析T形曲梁的静力学特性,该文考虑了剪滞翘曲应力自平衡条件、剪力滞后和剪切变形等因素的影响.同时为了更好地反映T形曲梁翼板的位移变化,4个广义位移函数被引入,分析中以能量变分原理为基础建立了T形曲梁静力学特性的控制微分方程和自然边界条件.算例中,分析了剪滞翘曲应力自平衡条件、不同载荷形式和曲梁半径R等因素对T形曲梁静力学特性的影响,该文解析解与有限元数值解吻合更好,说明了该文方法的有效性.In consideration of the shear lag effects and the shear deformation, a new warping displacement mode of curved T-beams is chosen to satisfy the axial self-equilibrium condition for the shear lag warping stress,and an accurate approach is proposed to analyze the static characteristics of curved T-beams widely used in engineering. The energy-variational principle is applied to establish the governing differential equations and the corresponding natural boundary conditions, and thus the closed-form solutions of the generalized displacements are obtained. The variations of the shear lag coefficients and the stress in the curved T-beams against the span-width ratio and the type of loading are discussed, and the role played by the self-equilibrium condition is analyzed.

关 键 词：T形曲梁 自平衡条件 静力学特性 能量变分原理 

分 类 号：U448.22[建筑科学—桥梁与隧道工程]