大悬臂板矩形截面箱梁动力反应的分析

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振动与冲击 ›› 2010, Vol. 29 ›› Issue (11) : 61-65.

论文

大悬臂板矩形截面箱梁动力反应的分析

甘亚南;周广春;赫中营

作者信息 +

AN ANALYSIS OF THE DYNAMIC RESPONSE ABOUT LARGE CANTILEVER RECTANGULAR BOX GIRDERS IN CONSIDERATION OF SHEAR LAG EFFECT

GAN Ya-nan ;ZHOU Guang-chun ; HE Zhong-ying

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文章历史 +

摘要

为了准确反映矩形箱梁( )翼板和悬臂板的剪滞变化幅度，分别对上下翼板和悬臂翼板设置了一个不同的剪滞纵向动位移差函数，提出了一种对薄壁箱梁动力学特性的分析方法。以能量变分原理为基础建立了矩形截面箱梁动力反应、和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，揭示了箱形梁桥动力反应的规律，说明了大悬臂板矩形箱梁( )双翘曲位移差函数设置的必要性。算例中，本文解析解与有限元数值解进行了比较，证明了本文动力分析方法的有效性。

Abstract

This paper proposes an approach of analyzing the dynamic response of rectangle thin-walled box girders generally used in engineering, in consideration of two different longitudinal displacement difference functions to accurately reflect the amplitude of change of shear lag in the thin-walled box girders with various widths of wing slabs( ). The differential equations and the corresponding natural boundary conditions of the box girders with large cantilever 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 thin-walled box girders 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;周广春;赫中营. 大悬臂板矩形截面箱梁动力反应的分析[J]. 振动与冲击, 2010, 29(11): 61-65

GAN Ya-nan;ZHOU Guang-chun;HE Zhong-ying. AN ANALYSIS OF THE DYNAMIC RESPONSE ABOUT LARGE CANTILEVER RECTANGULAR BOX GIRDERS IN CONSIDERATION OF SHEAR LAG EFFECT [J]. Journal of Vibration and Shock, 2010, 29(11): 61-65