多肋T形梁桥动力反应的分析  

Dynamic response analysis of T-beam bridge with multi-ribbed slabs in consideration of shear lag effect

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,哈尔滨150090

出　　处：《振动与冲击》2012年第9期166-171,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金(50578054)资助项目

摘　　要：为更加准确分析多肋T形梁桥的动力学特性,考虑剪切变形、剪力滞后和剪滞翘曲应力的自平衡条件,以能量变分原理为基础建立多肋T形梁广义位移的控制微分方程和自然边界条件,获得相应广义位移的闭合解。以算例为基础详细讨论了剪力滞后和自平衡条件等因素对多肋T形梁桥动力反应的影响,得到该类结构动力学特性的规律。通过解析解与有限元数值解进行比较,说明力学分析方法不但有效,而且丰富和发展了多肋T形梁桥的计算理论。An approach for analyzing the dynamic response of T-beam with multi-ribbed slabs generally used in engineering was proposed,in consideration of the shear deformation,shear lag effect,self-equilibrium condition for shear lag warping stress,and many different longitudinal displacement difference functions to accurately reflect the magnitude of shear lag change in the T-beam.The differential equations and the corresponding natural boundary conditions of the T-beam with multi-ribbed slabs were derived based on the minimum potential principle,and closed-form solutions of generalized dynamic displacements were obtained.According to the fundamental differential equations and the corresponding natural boundary conditions,the dynamic characteristics of T-beam with multi-ribbed slabs were discussed.With the help of calculation examples finite solid element solutions were compared with analytical solutions and the validity of the proposed approach was verified.

关 键 词：多肋T形梁 剪力滞后 动力反应 自平衡条件 能量变分原理 

分 类 号：U441.5[建筑科学—桥梁与隧道工程]