Weight minimization of elastic plates using Reissner-Mindlin model and mixed-interpolated elements

IF 0.6 4区数学 Q4 MATHEMATICS, APPLIED

Applications of Mathematics Pub Date : 1996-01-01 DOI:10.21136/am.1996.134316

I. Hlavácek

引用次数: 0

Abstract

Summary. The problem to find an optimal thickness of the plate in a set of bounded Lipschitz continuous functions is considered. Mean values of the intensity of shear stresses must not exceed a given value. Using a penalty method and finite element spaces with interpolation to overcome the "locking" effect, an approximate optimization problem is proposed. We prove its solvability and present some convergence analysis.

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基于Reissner-Mindlin模型和混合插值单元的弹性板重量最小化

总结。研究了在一组有界Lipschitz连续函数中求板的最优厚度的问题。剪应力强度的平均值不得超过给定值。利用惩罚法和带插值的有限元空间克服了“锁定”效应，提出了一个近似优化问题。证明了它的可解性，并给出了收敛性分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applications of Mathematics 数学-应用数学

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.