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首页> 外文期刊>Latin American Journal of Solids and Structures >Bending Analysis of Functionally Graded Axisymmetric Circular Plates using the Dual Mesh Finite Domain Method
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Bending Analysis of Functionally Graded Axisymmetric Circular Plates using the Dual Mesh Finite Domain Method

机译:用双网眼有限域法测定功能梯轴对称圆形板的弯曲分析

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摘要

The dual mesh finite domain method (DMFDM) introduced by Reddy employs one mesh for the approximationof the primary variables (primal mesh) and another mesh for the satisfaction of the governing equations (dualmesh). The present study deals with the extension and application of the DMFDM to functionally gradedcircular plates under axisymmetric conditions. The formulation makes use of the traditional finite elementinterpolation of the primary variables with a primal mesh and a dual mesh to satisfy the integral form of thegoverning differential equations, the basic premise of the finite volume method. The method is used toanalyze axisymmetric bending of through-thickness functionally graded circular plates using the classical platetheory (CPT) and first-order shear deformation plate theory (FST). The displacement model of the FST and themixed model of the CPT using the DMFDM are developed along with the displacement and mixed finiteelement models. Numerical results are presented to illustrate the methodology and a comparison of thegeneralized displacements and bending moments computed with those of the corresponding finite elementmodels. The influence of the extensional-bending coupling stiffness (due to the through-thickness grading ofthe material) on the deflections is also brought out.
机译:reddy引入的双网格有限域方法(DMFDM)采用一个网格用于近似变量(原始网格)和另一个网格以满足控制方程式(Dualmesh)。本研究涉及DMFDM在轴对称条件下用作功能性曲折板的延伸和施加。该配方利用主要变量的传统有限元素,利用原始网格和双网格来满足细分差分方程的整体形式,有限体积法的基本前提。该方法使用经典的PlateCheory(CPT)和一阶剪切变形板理论(FST)来分析通过厚度功能较圆形圆形板的轴对称弯曲。使用DMFDM的CPT的FST和主题模型的位移模型与位移和混合的有限元模型一起开发。提出了数值结果以说明与相应的有限元典型的那些计算的一成型位移和弯曲力矩的方法和比较。延伸弯曲耦合刚度(由于材料的贯穿厚度分级)的影响也被带出。

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