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Buckling analysis of symmetrically laminated composite plates by the extended Kantorovich method

机译:扩展Kantorovich方法对对称层合板的屈曲分析。

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An extended Kantorovich method is employed to investigate the buckling problem of rectangular laminated composite plates with various edge supports. The principle of minimum total potential energy along with a separable displacement function is utilized to derive a set of governing ordinary differential equations. The buckling load and mode are determined from iterative calculations of the governing equations using the initial trial function which can be selected arbitrarily. The accuracy of this method is confirmed with the available Levy and Rayleigh-Ritz solutions. The results demonstrate that the presented semi-analytical approach can be used to analyze the buckling of laminated unidirectional and cross-ply symmetrical plates with any combinations of simple, clamped, and free supports. Several numerical examples of buckling behavior of composite plates with various boundary conditions are also tabulated for future reference.
机译:采用扩展的Kantorovich方法来研究具有各种边缘支撑的矩形层压复合板的屈曲问题。利用最小总势能原理和可分离的位移函数来导出一组控制的常微分方程。使用初始试验函数根据控制方程的迭代计算确定屈曲载荷和模态,该初始试验函数可以任意选择。可用的Levy和Rayleigh-Ritz解决方案确认了此方法的准确性。结果表明,所提出的半分析方法可用于分析具有简单,夹紧和自由支撑的任意组合的层压单向和交叉对称板的屈曲。还列出了具有各种边界条件的复合板屈曲行为的几个数值示例,以供将来参考。

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