基于位移控制新法的结构非线性有限元数值模拟
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陈梦成(1962—),男,教授,博士,博士生导师,研究方向为工程结构材料耐久性,组合结构。E-mail:531782112@qq.com。

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TU311.4

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国家自然科学基金项目(51878275)


Nonlinear Numerical Simulation of Finite Element Based on A New Displacement Control Method
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    摘要:

    在材料、构件和结构的非线性问题有限元数值模拟过程中,当需要模拟达到或通过荷载-位移空间中平衡路径的极值点以及软化下降段时,荷载增量控制法一般是无能为力的。 为了克服这个困难,利用杜修力等人提出的位移控制新理论,对有限元求解方程中的刚度矩阵的主对角元素乘以大数,并将边界条件引入到有限元求解方程中,使得新的刚度矩阵依然具有对称性和带状性,仅需要对经典的荷载控制法程序做少量的修补,而且运算过程简单、迭代计算量少。 最后采用 MATLAB 编制程序,并结合实际算例进行分析,结果表明:本文建立的方法不但有效、可行,而且简单。

    Abstract:

    In the no nlinear numerical simulation of finite element for materials,components and structures,the load increment control method is usually powerless when it is necessary to reach or pass through the peak point and the softening decent segment of special equilibrium path for load-displacement relation. In this paper,a new theory of displacement control proposed by Du Xiuli et al. is used to overcome this problem. To make a new stiffness matrix symmetric and banded,the main diagonal elements of stiffness matrix in the conventional finite element incremental equation were multiplied by a huge number,and the boundary conditions were also introduced to the finite element equation. Therefore,only a little modification was needed for the program of traditional load control method which can simplify the iterative process of calculation. Finally,the complied program MATLAB was used to analyze some practical examples. It is shown by the analysis that the method presented in the paper is not only effective,feasible,but also simple.

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陈梦成,李嘉钰.基于位移控制新法的结构非线性有限元数值模拟[J].华东交通大学学报,2020,37(6):1-8.
Chen Mengcheng, Li Jiayu. Nonlinear Numerical Simulation of Finite Element Based on A New Displacement Control Method[J]. JOURNAL OF EAST CHINA JIAOTONG UNIVERSTTY,2020,37(6):1-8

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  • 在线发布日期: 2021-05-11
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