使用双网格控制域法对功能分级板进行静态、自由振动和屈曲分析

IF 4.4 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures Pub Date : 2024-11-12 DOI:10.1016/j.compstruc.2024.107575

Zeyu Jiao , Tanmaye Heblekar , Guannan Wang , Rongqiao Xu , J.N. Reddy

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引用次数: 0

摘要

本文采用 Reddy 提出的双网格控制域法（DMCDM）来求解采用一阶剪切变形理论（FSDT）建模的功能梯度板的线性静力、自由振动和屈曲问题。假定材料特性在板厚度范围内按幂律连续变化。计算公式适用于任意形状的线性三角形（3编码）和双线性四边形（4编码）基元。系统分析了幂律指数、长度与厚度比、边界条件和板偏斜对数值解的影响。此外，还将 DMCDM 的数值解与有限元方法 (FEM) 的数值解进行了比较，以证明 DMCDM 作为 FEM 等成熟数值技术的有力竞争者的稳健性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Static, free vibration, and buckling analysis of functionally graded plates using the dual mesh control domain method

In this paper, the Dual Mesh Control Domain Method (DMCDM) put forward by Reddy is applied to solve linear static, free vibration, and buckling problems of functionally graded plates modeled using the First-Order Shear Deformation Theory (FSDT). The material properties are assumed to vary continuously through the thickness of the plate according to a power-law. Formulations are presented for linear triangular (3-noded) and bilinear quadrilateral (4-noded) primal elements of arbitrary shape. The influence of the power-law exponents, length to thickness ratio, boundary conditions, and plate skewness on the numerical solution is systematically analyzed. Additionally, the numerical solutions using the DMCDM are compared against those from the Finite Element Method (FEM) to demonstrate the robustness of the DMCDM as a strong competitor to well-established numerical techniques such as the FEM.

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来源期刊

Computers & Structures 工程技术-工程：土木

CiteScore

8.80

自引率

6.40%

发文量

122

审稿时长

33 days

期刊介绍： Computers & Structures publishes advances in the development and use of computational methods for the solution of problems in engineering and the sciences. The range of appropriate contributions is wide, and includes papers on establishing appropriate mathematical models and their numerical solution in all areas of mechanics. The journal also includes articles that present a substantial review of a field in the topics of the journal.