一种分析框架结构非线性响应的方法

An Approach for Analyzing Nonlinear Behaviors of Frame Structures

在有限元动力学方程和材料本构关系的基础上,提出一种结构在准静态和动态荷载作用下的非线性分析方法。建立系统的平衡方程和本构关系方程,并同时联立求解可得到结构的非线性响应。此外,考虑到单元之间的变形协调条件、边界条件、本构关系,提出了一种新的算法,该算法适用于任何性质的单元,且求解的精度较高。最后,通过一个门式刚架的数值模拟验证了该方法的有效性。

Based on the finite element dynamic equations and the constitutive relation of materials, a method is proposed for the static and dynamic analysis of structures with nonlinear behavior. The state equations of equilibrium and the constitutive state equations are solved simultaneously for the nonlinear dynamic analysis. Accounting for element connectivity, boundary conditions and constitutive relationships, the algorithm for constructing the system of state equations is introduced. At last, a portal frame consisting of three elements is illustrated to validate the method presented.