A Moving Kriging Interpolation Meshless for Bending and Free Vibration Analysis of the Stiffened FGM Plates in Thermal Environment

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-07-11 DOI:10.1142/s0219876223500159

L. Peng, S. Y. Chen, W. Chen, X. C. He

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Abstract

This paper adopts the Moving Kriging (MK) interpolation meshless method to analyze the static and dynamic behaviors of stiffened functionally graded material (FGM) plate in thermal environment based on the physical neutral surface. The ribbed FGM plate is regarded as a composite structure of a FGM plate and ribs. The displacement transformation relationship between stiffeners and FGM plates is obtained through the displacement compatible conditions and MK interpolation. The meshfree model for ribbed FGM plate is obtained by superimposing the total energy of the FGM plate and the stiffeners based on the first-order shear deformation theory (FSDT) and physical neutral surface. The nonlinear temperature field along thickness direction is introduced into the meshless model of stiffened FGM plate. The equations governing the bending and free vibration of the ribbed FGM plate in thermal environment are obtained according to the principle of Minimum Potential Energy and Hamilton’s Principle. Thereafter, several ribbed FGM plate examples in different temperatures and with different locations of ribs are calculated. The results are compared with those given by the ABAQUS and literature. The results show that the effectiveness and accuracy of the proposed method in analyzing the ribbed FGM plate in thermal environment.

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热环境下FGM加筋板弯曲和自由振动分析的移动Kriging插值无网格法

基于物理中性面，采用无网格移动Kriging (MK)插值方法分析了加筋功能梯度材料(FGM)板在热环境下的静动态行为。肋形女性生殖器切割板被认为是女性生殖器切割板和肋骨的复合结构。通过位移相容条件和MK插值，得到了加强筋与FGM板之间的位移变换关系。基于一阶剪切变形理论(FSDT)和物理中性面，将FGM板和加劲筋的总能量叠加，得到了肋FGM板的无网格模型。在加筋FGM板无网格模型中引入沿厚度方向的非线性温度场。根据最小势能原理和哈密顿原理，得到了热环境下肋板弯曲和自由振动的控制方程。在此基础上，对不同温度和肋位置下的FGM肋板实例进行了计算。结果与ABAQUS和文献给出的结果进行了比较。结果表明，所提出的方法在热环境下对带肋FGM板进行分析的有效性和准确性。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.