论文部分内容阅读
以超高层建筑中当前广泛应用的杆系组合构件为研究对象,采用三维空间梁单元对其进行复杂受力状态下的双重非线性分析。为贴近实际工程同时简化计算,首先根据有限元方法和最小势能原理建立单元考虑几何非线性的弹性切线刚度矩阵;然后通过划分截面广义应变将单元截面刚度矩阵分离为弹性刚度矩阵与塑性刚度矩阵,在假定广义应变增量分布状态基础上,基于纤维模型法推导出单元塑性刚度矩阵;最后将考虑几何非线性的弹性刚度矩阵与塑性刚度矩阵集合成整体刚度矩阵,根据构件自身特性选取合理材料本构关系及数值计算方法进行构件非线性受力分析。数值分析结果表明,该文模型与方法概念清晰、计算精度高,还可应用于钢筋混凝土构件的受力性能非线性分析。
The present widely used rod system in high-rise buildings is taken as the research object, and the two-dimensional nonlinear analysis of the rod system under complex stress conditions is carried out by using the three-dimensional beam element. In order to be close to the actual project and to simplify the calculation, the elastic tangent stiffness matrix considering the geometrical nonlinearity is first established according to the finite element method and the minimum potential energy principle. Then, the stiffness matrix of the section of the element is divided into the elastic stiffness matrix and the plastic stiffness matrix by dividing the generalized strain of section, Based on the assumption of the distribution of generalized strain increment, the plastic stiffness matrix is deduced based on the fiber model method. Finally, the stiffness matrix and the plastic stiffness matrix considering the geometrical nonlinearity are integrated into the overall stiffness matrix, and the rational material is selected according to its own characteristics Structure Relationship and Numerical Calculation Method. Numerical analysis results show that the proposed model and method are clear in concept and high in precision. They can also be applied to the nonlinear analysis of the mechanical behavior of reinforced concrete members.