Analysis of free vibration characteristics of porous rectangular plates with variable thickness

doi:10.1007/s00419-022-02337-5

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	Analysis of free vibration characteristics of porous rectangular plates with variable thickness
	Wang, Weibin 1; Teng, Zhaochun1 ; Pu, Yu 2
	2022-12-01
发表期刊	ARCHIVE OF APPLIED MECHANICS
ISSN	0939-1533
卷号	93 期号:4 页码:1437-1448
摘要	Porous solid structures have attracted much attention because they are widely used in national defense, military industry, machinery, civil engineering and other fields. In this paper, the problem of free vibration of a porous rectangular plate with variable thickness is investigated. Firstly, given the two distribution modes of the porous rectangular plate along the thickness direction, the dimensionless governing differential equations for the free vibration of the porous rectangular plate are derived using the classical plate theory and the Hamiltonian variational principle. Then, the dimensionless governing differential equations of motion and boundary conditions are derived by converting them into algebraic equations through the differential transformation method (DTM). The dimensionless natural frequencies of the porous rectangular plate are solved by iterative convergence method through MATLAB programming. Finally, numerical examples are given to analyze the influence of different parameters on the vibration frequency of porous rectangular plates with different porosity distributions under different boundary conditions. Numerical examples show that the method has fast convergence speed and high accuracy. In addition, some novel results are presented in this paper, which can be used for reference in the following research on the vibration mechanical behavior of graded porous rectangular plates with variable thickness.
关键词	Porous rectangular plate Variable thickness Free vibration Natural frequency Differential transformation method
DOI	10.1007/s00419-022-02337-5
收录类别	SCIE ; EI
语种	英语
WOS研究方向	Mechanics
WOS类目	Mechanics
WOS记录号	WOS:000898661500001
出版者	SPRINGER
EI入藏号	20225113256553
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/160798
专题	理学院
作者单位	1.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China; 2.Lanzhou Inst Technol, Coll Civil Engn, Lanzhou 730050, Peoples R China
第一作者单位	理学院
第一作者的第一单位	理学院
推荐引用方式 GB/T 7714	Wang, Weibin,Teng, Zhaochun,Pu, Yu. Analysis of free vibration characteristics of porous rectangular plates with variable thickness[J]. ARCHIVE OF APPLIED MECHANICS,2022,93(4):1437-1448.
APA	Wang, Weibin,Teng, Zhaochun,&Pu, Yu.(2022).Analysis of free vibration characteristics of porous rectangular plates with variable thickness.ARCHIVE OF APPLIED MECHANICS,93(4),1437-1448.
MLA	Wang, Weibin,et al."Analysis of free vibration characteristics of porous rectangular plates with variable thickness".ARCHIVE OF APPLIED MECHANICS 93.4(2022):1437-1448.