矩形对称角层合板固有频率的解析解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2019-04-22 DOI:10.2140/MEMOCS.2019.7.51

F. Browning, H. Askes

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引用次数: 2

摘要

基于里兹法，导出了矩形对称角层合板最低固有频率的解析解。由于对称角层板具有非零的交叉弹性常数，所以解是近似的。通过瑞利商迭代法的收敛性研究，验证了这些解的准确性。利用符号形式的解，给出了参数研究，确定了板长宽比和层向角对若干堆叠几何形状的影响。通过与数值Ritz解的比较验证了结果，表明我们的近似解的最大误差为5%。

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Analytical solutions for the natural frequencies of rectangular symmetric angle-ply laminated plates

Analytical solutions, based on the Ritz method, are derived for the lowest natural frequency of rectangular symmetric angle-ply laminated plates. Since symmetric angle-ply plates have nonzero cross-elasticity constants, the solutions are approximate. The accuracy of these solutions is tested with a convergence study using the Rayleigh quotient iteration method. With the solutions available in symbolic form, parameter studies are presented that establish the effect of plate aspect ratio and ply orientation angle for a number of stacking geometries. The results are also verified through a comparison with numerical Ritz solutions, showing a maximum error of 5% in our approximate solution.

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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.