Abstract

In this article, static, dynamic and natural frequency analyses of functionally graded porous annular sector plate reinforced by graphene nanoplatelets are investigated for the first time. The plate is a composition of a layered model with uniform or nonuniform dispersion of graphene platelets in a metallic matrix including open-cell interior pores. The extended rule of mixture and the modified Halpin–Tsai models are applied to estimate the effective properties of the porous nanocomposite plate. Three different kinds of porosity distributions are considered through the thickness direction of plate that are, uniform and two kinds of symmetric functionally graded distributions. Also, three different types of GPL dispersion patterns are considered across the thickness direction of plate. Hamilton’s principle based on first shear deformation plate theory and finite element method are used to derive the governing equations of motion. The effects of various factors such as different distribution of porosity, porosity coefficient, GPL dispersion patterns, and weight fraction of GPL nanofiller, boundary conditions and sector angles on natural frequency, static and transient responses of the plate have been investigated.

摘要

本文首次研究了石墨烯纳米片增强的功能梯度多孔环形扇形板的静态、动态和固有频率分析。该板是分层模型的组合物，石墨烯薄片在包括开孔内部孔的金属基质中均匀或不均匀分散。应用扩展的混合规则和改进的 Halpin-Tsai 模型来估计多孔纳米复合材料板的有效性能。从板厚方向考虑了三种不同的孔隙率分布，即均匀分布和对称功能梯度分布两种。此外，在板的厚度方向上考虑了三种不同类型的 GPL 色散图案。基于第一剪切变形板理论的Hamilton原理和有限元法用于推导运动的控制方程。研究了不同的孔隙率分布、孔隙率系数、GPL分散模式和GPL纳米填料的重量分数、边界条件和扇形角等各种因素对板的固有频率、静态和瞬态响应的影响。