A closed form solution for uniformly loaded rectangular plates with adjacent edges clamped and the two others simply supported (CCSS)

IF 2.3 4区工程技术 Q1 MATHEMATICS, APPLIED

Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik Pub Date : 2023-11-10 DOI:10.1002/zamm.202200583

Ming Jin

引用次数: 0

Abstract

Abstract In this paper, a closed form solution is proposed on bending of uniformly loaded rectangular plates with adjacent edges clamped and the two others simply supported (CCSS). Deflection surface can be expressed by a double sine series referred to as Navier solution. Numerical results of deflection, bending moments agree with existing solutions including solutions of finite element model (FEM).

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邻边夹紧、两边简支均载矩形板的闭型解

摘要本文提出了邻边夹紧、两端简支均加载矩形板弯曲问题的封闭形式解。挠度曲面可以用二重正弦级数表示，称为纳维耶解。挠度、弯矩的数值计算结果与已有的包括有限元模型的解一致。

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

Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik 数学-力学

CiteScore

3.30

自引率

8.70%

发文量

199

审稿时长

3.0 months

期刊介绍： ZAMM is one of the oldest journals in the field of applied mathematics and mechanics and is read by scientists all over the world. The aim and scope of ZAMM is the publication of new results and review articles and information on applied mathematics (mainly numerical mathematics and various applications of analysis, in particular numerical aspects of differential and integral equations), on the entire field of theoretical and applied mechanics (solid mechanics, fluid mechanics, thermodynamics). ZAMM is also open to essential contributions on mathematics in industrial applications.