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首页> 外文期刊>Composite Structures >Bending, free vibration and buckling of functionally graded carbon nanotube-reinforced sandwich plates, using the extended Refined Zigzag Theory
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Bending, free vibration and buckling of functionally graded carbon nanotube-reinforced sandwich plates, using the extended Refined Zigzag Theory

机译：使用扩展的曲折理论扩展功能梯度碳纳米管增强的夹心板的弯曲，自由振动和屈曲

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摘要

The paper presents an application of the extended Refined Zigzag Theory (eRZT) in conjunction with the Ritz method to the analysis of bending, free vibration and buckling of functionally graded carbon nanotube-reinforced (FG-CNTR) sandwich plates. Two stacking sequences are taken into consideration: sandwich panels with a homogeneous core and functionally graded face-sheets and sandwich panels with homogeneous face-sheets and a functionally graded core.After validating the convergence characteristics and the numerical accuracy of the developed approach using orthogonal and non-orthogonal admissible functions, a detailed parametric numerical investigation is carried out. Bending under bi-sinusoidal and uniform transverse pressure, free vibration and buckling loads under uniform in-plane uniaxial, biaxial and shearing loadings of FG-CNTR sandwich plates are studied. Numerical results for square and rectangular FG-CNTR sandwich plates under various combinations of geometry (core-to-face sheet thickness ratio and side to thickness ratio), different set of boundary conditions, CNTs volume fraction and grading laws are presented and discussed in detail. It is concluded that the eRZT predicts the response for static, stability and free vibration problems more accurately than first-order (FSDT) and third-order (TSDT) shear deformation theories, also for FG-CNTR sandwich plates.
机译：本文提出了扩展的精细曲折理论（eRZT）与Ritz方法的结合在功能梯度碳纳米管增强（FG-CNTR）夹心板的弯曲，自由振动和屈曲分析中的应用。考虑了两个堆叠顺序：具有均质芯和功能渐变面板的夹心板以及具有均质面板和功能渐变芯的夹心板，在验证了收敛性和正交性和数值精度后，验证了开发方法的收敛性和数值精度对于非正交允许函数，将进行详细的参数数值研究。研究了FG-CNTR夹层板在平面内的均匀单轴，双轴和剪切载荷下双正弦和均匀横向压力下的弯曲，自由振动和屈曲载荷。提出并详细讨论了方形和矩形FG-CNTR夹层板在各种几何形状组合（芯板对板材的厚度比和边对厚度的比），不同的边界条件集，CNT的体积分数和分级定律的数值结果。结论是，对于FG-CNTR夹层板，eRZT比一阶（FSDT）和三阶（TSDT）剪切变形理论更准确地预测了静态，稳定性和自由振动问题的响应。

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