单轴和双轴载荷作用下层合复合材料板屈曲分析

A. Dogan
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引用次数: 1

摘要

本文研究了对称薄、厚简支复合材料板的屈曲分析。利用哈密顿原理,推导了薄板和厚板的控制方程。利用哈密顿原理,得到了矩形薄板和矩形厚板在面内载荷作用下的运动方程。矩形板的加载条件为单轴压缩和双轴压缩。采用Navier解法,通过求解特征值问题得到闭合解和屈曲载荷。本文研究了边比和各向异性对矩形板屈曲分析的影响。计算机程序在Mathematica (Mathematica 2017)软件的帮助下单独编写,用于层合复合材料板屈曲分析的求解。本文对层合复合材料板屈曲的数值研究结果进行了验证,并与已有的文献研究和ANSYS有限元方法进行了对比。
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BUCKLING ANALYSIS OF LAMINATED COMPOSITE PLATES UNDER THE EFFECT OF UNIAXIAL AND BIAXIAL LOADS
This paper investigates the buckling analysis of simply supported symmetrically thin and thick composite plates. Using the Hamilton’s principle, the governing equation for thin and thick composite plates is derived. The equation of motion for thin and thick laminated rectangular plates subjected to in-plane loads is obtained with the help of Hamilton’s principle. The loading conditions of rectangular plate are uniaxial and biaxial compression. Considering the Navier solution technique, closed form solutions are attained and buckling loads are found by solving the eigenvalue problems. In this study, the effect of edge ratios and anisotropy on the buckling analysis of rectangular plate was investigated. The computer programs have been written separately with the help of Mathematica (MATHEMATICA 2017) program for the solution of the buckling analysis of laminated composite plates. Results of the numerical studies for the buckling of laminated composite plates (LCP) are demonstrated and benchmarked with former studies in the literature and ANSYS finite element methods.
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