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Three-dimensional free vibration and bending analyses of functionally graded graphene nanoplatelets-reinforced nanocomposite annular plates

机译：功能梯度石墨烯纳米片增强纳米复合环形板的三维自由振动和弯曲分析

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摘要

Based on the three-dimensional theory of elasticity, the free vibration and bending analyses of functionally graded graphene nanoplatelets-reinforced nanocomposite (FG-GPLRC) annular plates are performed in this paper. The state-space based differential quadrature method (SS-DQM) is employed to study the vibration and bending behaviors of multilayer FG-GPLRC annular plates with different boundary conditions. The modified Halpin-Tsai micromechanical model and rule of mixtures are used to evaluate the effective material properties of the graphene-based nanocomposites, and five different types of GPL distribution patterns are discussed. After convergence and validation studies to verify the present analyses, comprehensive parametric investigations are conducted to examine the effects of weight fraction, distribution pattern, and geometric parameters of GPLs on free vibration and bending characteristics of the FG-GPLRC annular plates. Numerical results reveal that pattern GPL-X offers the best reinforcing effect for improved natural frequencies and deformation resistances of the nanocomposite annular plates.
机译：基于三维弹性理论，对功能梯度石墨烯纳米片增强纳米复合材料（FG-GPLRC）环形板进行了自由振动和弯曲分析。基于状态空间的微分正交方法（SS-DQM）被用于研究具有不同边界条件的多层FG-GPLRC环形板的振动和弯曲行为。修改后的Halpin-Tsai微力学模型和混合物规则用于评估石墨烯基纳米复合材料的有效材料性能，并讨论了五种不同类型的GPL分布模式。在进行收敛和验证研究以验证本分析之后，进行了全面的参数研究，以检查GPL的重量分数，分布模式和几何参数对FG-GPLRC环形板的自由振动和弯曲特性的影响。数值结果表明，图案GPL-X提供了最佳的增强效果，从而改善了纳米复合材料环形板的固有频率和抗变形性。

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