多肋T形梁桥动力反应的分析

为了更加准确分析多肋T形梁桥的动力学特性，本文考虑了剪切变形、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了多肋T形梁广义位移的控制微分方程和自然边界条件，获得了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，得到了该类结构动力学特性的规律。本文解析解与有限元数值解进行了比较，说明了本文力学分析方法的有效性，本文方法丰富和发展了多肋T形梁桥的计算理论。

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

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.