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从分析曲梁单元非线性几何方程入手,由其切线刚度矩阵的一般形式推导建立几何非线性劲度矩阵的具体表达式,力图实现一种曲梁单元有限元分析模型.建立了坐标转换矩阵及几种常见荷载的处理方法,成果全部采用适合FEM编程的矩阵形式,满足工程计算需求.用模型初步设计了计算程序.用曲梁单元模拟拱结构,可得到比其他单元更精确的结果
Starting from the analysis of nonlinear geometrical equations of curved beam elements, the specific expressions of the geometrical nonlinear stiffness matrix are deduced from the general form of the tangent stiffness matrix, and a curvilinear element finite element analysis model is sought. The coordinate transformation matrix and several common load processing methods were established. The results all use the matrix form suitable for FEM programming to meet the engineering calculation requirements. The preliminary design of the calculation program using the model. Simulating the arch structure with curved beam elements gives more accurate results than other elements