多肋T形梁桥动力反应的分析

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (9) : 166-171.

论文

多肋T形梁桥动力反应的分析

甘亚南，荀勇, 周广春

作者信息 +

Analysis of the dynamic response about t-beam bridge with multi-ribbed slabs in consideration of shear lag effect

GAN Ya-nan ，gou yong, ZHOU Guang-chun

Author information +

文章历史 +

摘要

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。

Abstract

proposes an approach of analyzing the dynamic response of T-beam with multi-ribbed slabs generally used in engineering, 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 amplitude of change of shear lag in the T-beam with multi-ribbed slabs. The differential equations and the corresponding natural boundary conditions of the T-beam with multi-ribbed slabs are induced based on the minimum potential principle, and closed-form solutions of generalized dynamic displacements are obtained. According to the fundamental differential equations and the corresponding natural boundary conditions, the dynamic characteristics of T-beam with multi-ribbed slabs are discussed. The calculation examples compare the finite solid element solutions with the analytical solutions and verify the validity of the proposed approach, the formulas obtained in this study develop the shear lag theory.

导出引用

甘亚南;荀勇; 周广春 . 多肋T形梁桥动力反应的分析[J]. 振动与冲击, 2012, 31(9): 166-171

GAN Ya-nan;gou yong;ZHOU Guang-chun . Analysis of the dynamic response about t-beam bridge with multi-ribbed slabs in consideration of shear lag effect[J]. Journal of Vibration and Shock, 2012, 31(9): 166-171