Accuracy of Strain Solution of a Laminated Composite Plate via Galerkin's Method

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2014-08-01 DOI:10.1515/ijnsns-2013-0131

Z. Mecitoğlu, Zafer Kazancı, D. Balkan

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Abstract

Abstract This paper deals with the detailed analysis and discussion of nonlinear static analysis of a laminated composite plate subjected to uniform pressure load. Governing equations of the plate are derived by the use of the virtual work principle. The geometric nonlinearity effects are taken into account with the von Kármán large deflection theory of thin plates. Approximate solutions for a simply supported plate are assumed for the plate domain. The single term approximation functions are selected by considering the nonlinear static deformations of plate. The solution is obtained using the Newmark method in MATLAB software. The plate is also modeled and analyzed using ANSYS software using SHELL91 elements. The variation of membrane, linear and nonlinear bending terms are obtained along a characteristic line on the plate and the numerical and finite element results are compared. The results are discussed in detail considering the nonlinear static behavior of the laminated composite plate and the main reasons of discrepancies are discussed. Dynamic behavior of the plate is explained considering the nonlinear static behavior.

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用伽辽金法测定复合材料层合板应变解的精度

摘要本文对复合材料层合板在均压载荷作用下的非线性静力分析进行了详细的分析和讨论。利用虚功原理推导了平板的控制方程。利用von Kármán薄板大挠度理论考虑了几何非线性效应。假定简支板在板域的近似解。考虑板的非线性静力变形，选择单项近似函数。在MATLAB软件中使用Newmark方法求解。利用ANSYS软件，采用SHELL91单元对该板进行了建模和分析。得到了薄膜、线性和非线性弯曲项沿板上特征线的变化规律，并对数值结果和有限元结果进行了比较。考虑层合板的非线性静力行为，对结果进行了详细的讨论，并讨论了产生差异的主要原因。考虑非线性静力特性，解释了板的动力特性。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.