Free vibration analyses of porous fgm rectangular plates on a Winkler-Pasternak elastic foundation considering the temperature effect

doi:10.6052/j.issn.1000-4750.2021.02.0152

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	Free vibration analyses of porous fgm rectangular plates on a Winkler-Pasternak elastic foundation considering the temperature effect
	Teng, Zhao-Chun; Wang, Wei-Bin; Zheng, Wen-Da
刊名	Gongcheng Lixue/Engineering Mechanics
	2022-04-01
卷号	39 期号:4 页码:246-256
关键词	Aspect ratio Beams and girders Boundary conditions Iterative methods MATLAB Natural frequencies Shear flow Stiffness Vibration analysis Differential transformation Differential transformation method Free vibration Governing differential equations Pasternak elastic foundations Porous functionally graded material rectangular plate Rectangular plates Transformation methods Winkl-pasternak elastic foundation Winkler
ISSN号	1000-4750
DOI	10.6052/j.issn.1000-4750.2021.02.0152
英文摘要	Based on the classical thin plate theory and Hamilton principle, the free vibration characteristics of porous functionally graded material (FGM) rectangular plates on a Winkler-Pasternak elastic foundation under the influence of temperature are studied. The Voigt mixed power law model and random distribution model of pores are used to characterize the material properties of porous FGM rectangular plates, and the uniform temperature rise in a porous FGM rectangular plate and the temperature dependency of material properties are considered. The governing differential equation of a porous FGM rectangular plate on the elastic foundation is derived from the physical neutral surface position. The dimensionless form of the governing differential equation is also obtained. The differential transformation method (DTM) is then used to transform the dimensionless governing differential equation and its boundary conditions. Six typical boundaries are introduced and programmed in MATLAB. The calculation accuracy is consistent. After iterative convergence, the dimensionless natural frequencies are solved. The effects of the boundary conditions, gradient index, temperature rise, porosity, aspect ratio, side-to-thickness ratio, dimensionless elastic stiffness coefficient and dimensionless shear stiffness coefficient on the vibration characteristics of FGM rectangular plates are studied by numerical examples. Copyright ©2022 Engineering Mechanics. All rights reserved.
语种	中文
出版者	Tsinghua University
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/157977]
专题	理学院
作者单位	School of Science, Lanzhou University of Technology, Lanzhou; 730050, China
推荐引用方式 GB/T 7714	Teng, Zhao-Chun,Wang, Wei-Bin,Zheng, Wen-Da. Free vibration analyses of porous fgm rectangular plates on a Winkler-Pasternak elastic foundation considering the temperature effect[J]. Gongcheng Lixue/Engineering Mechanics,2022,39(4):246-256.
APA	Teng, Zhao-Chun,Wang, Wei-Bin,&Zheng, Wen-Da.(2022).Free vibration analyses of porous fgm rectangular plates on a Winkler-Pasternak elastic foundation considering the temperature effect.Gongcheng Lixue/Engineering Mechanics,39(4),246-256.
MLA	Teng, Zhao-Chun,et al."Free vibration analyses of porous fgm rectangular plates on a Winkler-Pasternak elastic foundation considering the temperature effect".Gongcheng Lixue/Engineering Mechanics 39.4(2022):246-256.