自锚式悬索桥挠度理论基础微分方程近似推导

注意：本论文已在《哈尔滨工业大学学报》2004,36(12):1733-1735发表
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（EI已经收录本文）

石磊 刘春城 张哲
(大连理工大学土木水利学院，大连 116024 )

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的影响，建立了三跨自锚式悬索桥挠度理论下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挠度理论下的基础微分方程，得出了自锚式悬索桥挠度理论的基础微分方程近似于弹性理论下的微分方程这一结论．为阐述自锚式悬索桥静力行为提供了理论依据．　
关键词: 自锚式悬索桥 挠度理论 泛函 广义变分

The Basic Differential Equation Deductive of the Self-anchored Suspension Bridge

SHI Lei ,ZHANG Zhe, LIU Chun-cheng
(Institute of Civil & Hydraulic Engineering, Dalian University of Technology,
Dalian, 116024)

Abstract: Based on the generalized potential energy variational principal of nonlinear elasticity theory with large deflection, the incomplete generalized potential energy function with large deflection is established based on the flexibility theory of three-span self–anchored suspension bridge by considering the effect of axial compressive energy of stiffening girder. By constraint variation, the differential equations under flexibility theory is closed to the elastic theory vibration have been derived. It can provide theoretical basis for the static analysis of self-anchored suspension bridge。
Keywords: Self-Anchored suspension bridge, flexibility theory, functional, 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、延吉市布尔哈通河局子街自锚式混凝土悬索桥设计

4、混凝土自锚式悬索桥结构内力分析

5、自锚式悬索桥的发展综述

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