针对空间参数不确定的弹塑性问题的非线性区间有限元方法

IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
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引用次数: 0

摘要

本文提出了一种非线性区间有限元方法,用于空间不确定参数结构的弹塑性分析。空间不确定参数由区间场描述,可有效计算弹塑性结构响应的变化边界。通过区间场量化,空间不确定参数由区间卡尔胡宁-洛埃夫(K-L)展开表示,并在此基础上建立非线性区间有限元平衡方程。然后提出一种区间迭代法来求解平衡方程,并获得位移等结构响应变化边界的外解法。该方法采用牛顿-拉夫逊迭代法将非线性问题转化为线性问题,然后引入区间迭代法求解区间线性方程。通过三个数值实例说明了所提方法的可行性和准确性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A nonlinear interval finite element method for elastic–plastic problems with spatially uncertain parameters

This paper proposes a nonlinear interval finite element method for elastic–plastic analysis of structures with spatially uncertain parameters. The spatially uncertain parameters are described by the interval field, and the variation bounds of the elastic–plastic structural responses can be calculated effectively. Quantified by the interval field, the spatially uncertain parameters are represented by the interval Karhunen–Loève (K-L) expansion, based on which the nonlinear interval finite element equilibrium equation is formulated. An interval iterative method is then presented to solve the equilibrium equation and obtain an outer solution of the variation bounds of structural responses such as displacement. In this method, the Newton-Raphson iterative method is used to transform the nonlinear problem into a linear one, and then the interval iterative method is introduced to solve the interval linear equations. Three numerical examples are employed to illustrate the feasibility and accuracy of the proposed method.

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来源期刊
Computers & Structures
Computers & Structures 工程技术-工程:土木
CiteScore
8.80
自引率
6.40%
发文量
122
审稿时长
33 days
期刊介绍: Computers & Structures publishes advances in the development and use of computational methods for the solution of problems in engineering and the sciences. The range of appropriate contributions is wide, and includes papers on establishing appropriate mathematical models and their numerical solution in all areas of mechanics. The journal also includes articles that present a substantial review of a field in the topics of the journal.
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