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多跨连续曲线梁桥静力分析的有限段法 被引量:2

Finite segment method for static analysis of cntinuous curved box girder
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摘要 利用能量变分原理,推导出平面曲线箱梁的基本微分方程、边界条件;采用微分方程的齐次解作为位移模式,推导出平面曲线箱梁有限段法分析的单元刚度矩阵、荷载矩阵;编制了计算分析程序,计算结果与其他方法分析值吻合较好;探讨了抗弯刚度与抗扭刚度之比对连续曲线箱梁位移、内力的影响,为连续曲线箱梁的设计计算与施工提供了参考。 On the basis of the energy-variational principle , the differential equations and boundary conditions of curved box girder are derived . The solution derived from the differential equations is used as the displacement patterns of finite segment. The stiffness matrix and load column matrixes are obtained by means of directed stiffness method and working-energy principle. A program is designed to calctdate the stress and displacement of the curved girder bridge. The results of numerical calculation and other methods are well matched in this paper. The variations of displacement and stress of curved box girder bridge are caused by anti-bending stiffness/anti-twisting stiffness ratio are discussed. The results are impotent to the design and construction of curved box girder bridges.
出处 《铁道科学与工程学报》 CAS CSCD 北大核心 2005年第6期83-87,共5页 Journal of Railway Science and Engineering
基金 国家自然科学基金资助项目(50378019) 广东省自然科学基金资助项目(034066)
关键词 连续曲线箱梁 能量变分原理 有限段法 弯扭刚度比 continuous curved box girder energy-variational principle finite segment method bending-twisting stiffness ratio
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