自錨式懸索橋撓度理論基礎微分方程近似推導

注意：本論文已在《哈爾濱工業大學學報》2004,36(12):1733-1735發表
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（EI已經收錄本文）

石磊 劉春城 張哲
(大連理工大學土木水利學院，大連 116024 )

摘 要: 基于大位移非線性彈性理論的廣義變分原理，考慮了加勁梁軸向壓縮應變能的影響，建立了三跨自錨式懸索橋撓度理論下的大位移不完全廣義勢能泛函，通過約束變分導出了自錨式懸索橋撓度理論下的基礎微分方程，得出了自錨式懸索橋撓度理論的基礎微分方程近似于彈性理論下的微分方程這一結論．為闡述自錨式懸索橋靜力行為提供了理論依據．　
關鍵詞: 自錨式懸索橋 撓度理論 泛函 廣義變分

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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