New shape function in the free-vibration analysis of antisymmetric angleply composite laminates

Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics Pub Date : 1900-01-01 DOI:10.5937/spsunp2101027m

D. Milosavljević, A. Radaković, D. Čukanović, G. Bogdanović, S. Husović

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引用次数: 1

Abstract

The paper analyzes the problem of free vibrations in antisymmetric crossply laminates. A new shape function which is used in higher order shear deformation theories has been introduced. The comparative analysis was performed with the known shape functions. The procedure for obtaining dynamic equations of motion in the Matlab software package has been developed. For theoretical considerations, the module with the symbolic variable has been used. The paper shows which of the existing shape functions are applicable in the free vibration analysis of antisymmetric angleply laminates. The advantages and disadvantages of the newly developed shape function are clearly highlighted. Analytical procedures have been used to obtain the results of partial differential equations, based on Navier's solutions. Numerical integration procedures were used as an integral part of the developed Matlab codes for those shape functions where it was necessary. The results are presented in a table and figures. The procedure itself has been verified by comparison with the reference results from the literature.

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反对称角角复合材料层合板自由振动分析中的新形状函数

本文分析了反对称交叉层合板的自由振动问题。介绍了一种新的用于高阶剪切变形理论的形状函数。并与已知的形状函数进行了对比分析。开发了在Matlab软件包中获取动力学运动方程的程序。出于理论上的考虑，我们使用了带有符号变量的模块。给出了现有形状函数中适用于反对称角层合板自由振动分析的形状函数。新开发的形状功能的优点和缺点被清楚地突出。分析程序已被用来获得偏微分方程的结果，基于纳维耶的解决。数值积分程序被用作开发的Matlab代码的一个组成部分，用于必要的形状函数。结果以表格和图表的形式呈现出来。通过与文献参考结果的比较，验证了该方法的正确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics

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