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压弯耦合效应下自锚式悬索桥自由振动研究

注意：本论文已在《哈尔滨工业大学学报》2004,36(1):109-111发表
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刘春城[1][2] 张哲[1] 石磊[1]
( [1]大连理工大学桥梁研究所，辽宁,大连 116023
[2]北华大学交通建筑学院，吉林,吉林 132013)

摘 要：基于大位移非线性弹性理论的广义变分厚理，考虑了加劲梁的压弯耦合和剪切应变能的影响，建立了三跨自锚式悬索桥空间耦合自由振动的大位移不完全广义势能泛函，通过约束变分导出了自锚式悬索桥的竖向挠曲振动、横向挠曲振动和纵向振动的基础微分方程，忽略非线性项的影响，进而得到线性振动微分方程．以一座拟建的自锚式混凝土悬索桥为例，求出了竖向振动方程自振频率的解析解，并与数值解作了比较，证明了这一理论和方法为自锚式悬索桥的固有振动特性分析能提供可靠的依据。
关键词：自锚式悬索桥；压弯耦合；自由振动
中图分类号：U442．55 文献标识码：A 文章编号：0367—6234(2004)O1—0109—03

Free vibration analysis of self-anchored suspension bridges subjected to axial and flexural action efect
LIU Chun．cheng1,2，ZHANG Zhe1 ，SHI Lei1
(1．Bridg,-Institute，Dalian University ofTechnology，Dalian 116023，China；
2．School of Transportation and Architecture，Beihua University，Jilin 132013，China)

Abstract: Based on the generalized potential energy variational principle of nonlinear elasticity theory with large deflection，the incomplete generalized potential energy functional is established on the space coupling free vibration of three-span self-anchored suspension bridge by considering the effect of coupling of flexural and axial action，and shearing strain energy of stifening girder．By constraint variation，the diferential equa tions of vertical vibration，lateral vibration and longitudinal vibration have been derived．With the nonlinear items disregarded，the linear differential equations are established．A self-anchored suspension bridge being constructed is taken as an example for the solution of frequency of linear vertical vibration，and the results are verified by comparing then with those obtained using the numerical methods，and theoretical basis is therefore provided for the analysis of free vibration of self—anchored suspension bridges．
Keywords: self-anchored suspension bridge; coupling of flexural and axial action; free vibration

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1、混凝土自锚式悬索桥结构内力分析

2、自锚式悬索桥空间耦合自由振动分析的理论研究

3、两级模糊优选模型及非结构性模糊决策理论在桥梁方案比选中的应用

4、多支承激励下自锚式悬索桥空间地震反应分析

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