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伯努力梁平面几何非线性分析的刚度矩阵
引用本文:陈务军 关富玲. 伯努力梁平面几何非线性分析的刚度矩阵[J]. 浙江大学学报(工学版), 1998, 32(5): 563-569
作者姓名:陈务军 关富玲
作者单位:浙江大学土木系
摘    要:本文首先建立基本的几何非线性方程,然后根据卡氏定理推导出伯努力梁在T.L下的几何非线性割线刚度矩阵与切线刚度矩阵的显式,并将两者统一起来,文中同时讨论了各种简化情况,并给出相应矩阵,最后分析了各阶非线性项对斜拉桥的影响。

关 键 词:伯努力梁 几何非线性 刚度矩阵

Stiffness matrices of bernoulli beam for plane geometrically nonlinear analysis
Chen Wujun Guan Fuling. Stiffness matrices of bernoulli beam for plane geometrically nonlinear analysis[J]. Journal of Zhejiang University(Engineering Science), 1998, 32(5): 563-569
Authors:Chen Wujun Guan Fuling
Abstract:In this paper,a basic geometrically nonlinear equation is established firstly;Then according to Castigliano Theorem,plane geometrically nonlinear secant and tangent stiffness matrices of Bernoulli beam are formulated explicitly,and unified in the same form;Diferent simplifications are also discussed in detail,and relevant matrices are presented;A numerical example which analyzes influences of various nonlinear factors on cable stayed bridges is given finally.
Keywords:bernoulli beam  geometrically nonlinearity  tangent stiffness matrix  secant stiffness matrix  
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