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自锚式悬索桥空间耦合自由振动分析的理论研究

注意：本论文已在《北华大学学报》（自然科学版）2003,4(1):84-88发表
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刘春城1,郭立文2,石磊1
(1.大连理工大学土木建筑学院,辽宁大连　116023;
2.吉林省红石林业局,吉林桦甸　132024)

摘 要：摘要:基于大位移非线性弹性理论的广义变分原理,考虑了加劲梁轴向压缩应变能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、纵向振动及扭转振动的基础微分方程,为自锚式悬索桥的固有振动性状分析提供可靠的理论依据.
关键词:自锚式悬索桥;耦合;自由振动;泛函;广义变分中
图分类号:U448.25　　　　文献标识码:　Ａ

The oretical Study on Space Coupling Free Vibration Analysis of Self-anchored Suspension Bridge
Liu Chuncheng1, Guo Liwen2, Shi Lei1
(1.Institute of Civil Engineering and Architecture of Dalian University of Technology, Dalian, 116023, China
2.Hongshi Forestry Bureau in Jinlin Province, 132024, China)

Abstract: Based on the generalized potential energy variational principal of nonlinear elasticity theory with large deflection, the incomplete generalized potential energy functional with large deflection is established on the space coupling free vibration of three-span self-anchored suspension bridge by considering the effect of axial compressive and shearing strain energy of stiffening girder. By constraint variation, the differential equations of vertical vibration, later vibration, longitudinal vibration and torsional vibration have been derived. It can provide the theoretical basis for the analysis of free vibration of self-anchored suspension bridge.
Keywords: Self-anchored; Coupling; Free vibration; Function; Generalized variation

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1、压弯耦合效应下自锚式悬索桥自由振动研究

2、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

3、多支承激励下自锚式悬索桥空间地震反应分析

4、混凝土自锚式悬索桥结构内力分析

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