New analytic buckling solutions of moderately thick clamped rectangular plates by a straightforward finite integral transform method

doi:10.1007/s00419-019-01549-6

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	New analytic buckling solutions of moderately thick clamped rectangular plates by a straightforward finite integral transform method
	Ullah S 1; Wang HY 2,3; Zheng XR 2,3; Zhang JH 1; Zhong Y 1; Li R2,3,4
通讯作者	Li, Rui(ruili@dlut.edu.cn)
发表期刊	ARCHIVE OF APPLIED MECHANICS
	2019-09-01
卷号	89 期号:9 页码:1885-1897
ISSN	0939-1533
摘要	A first endeavor is made in this paper to explore new analytic buckling solutions of moderately thick rectangular plates by a straightforward double finite integral transform method, with focus on typical non-Levy-type fully clamped plates that are not easy to solve in a rigorous way by the other analytic methods. Solving the governing higher-order partial differential equations with prescribed boundary conditions is elegantly reduced to processing four sets of simultaneous linear equations, the existence of nonzero solutions of which determines the buckling loads and associated mode shapes. Both numerical and graphical results confirm the validity and accuracy of the developed method and solutions by favorable comparison with the literature and finite element analysis. The succinct but effective technique presented in this study can provide an easy-to-implement theoretical tool to seek more analytic solutions of complex boundary value problems.
关键词	Analytic solution Thick plate Buckling Finite integral transform method
DOI	10.1007/s00419-019-01549-6
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000487131300010
关键词[WOS]	SYMPLECTIC ELASTICITY APPROACH ; FREE-VIBRATION ; MINDLIN PLATES ; FOUNDATION ; REISSNER
WOS研究方向	Mechanics
WOS类目	Mechanics
资助项目	Young Elite Scientists Sponsorship Program by CAST[2015QNRC001] ; Opening Fund of State Key Laboratory of Nonlinear Mechanics, Chinese Academy of Sciences ; Fundamental Research Funds for the Central Universities of China[DUT18GF101]
项目资助者	Young Elite Scientists Sponsorship Program by CAST ; Opening Fund of State Key Laboratory of Nonlinear Mechanics, Chinese Academy of Sciences ; Fundamental Research Funds for the Central Universities of China
论文分区	Q3
力学所作者排名	1
RpAuthor	Li, Rui
引用统计	被引频次：12[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/80612
专题	非线性力学国家重点实验室
作者单位	1.Dalian Univ Technol, Fac Infrastruct Engn, Dalian 116024, Peoples R China; 2.Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China; 3.Dalian Univ Technol, Int Res Ctr Computat Mech, Dalian 116024, Peoples R China; 4.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ullah S,Wang HY,Zheng XR,et al. New analytic buckling solutions of moderately thick clamped rectangular plates by a straightforward finite integral transform method[J]. ARCHIVE OF APPLIED MECHANICS,2019,89,9,:1885-1897.
APA	Ullah S,Wang HY,Zheng XR,Zhang JH,Zhong Y,&Li R.(2019).New analytic buckling solutions of moderately thick clamped rectangular plates by a straightforward finite integral transform method.ARCHIVE OF APPLIED MECHANICS,89(9),1885-1897.
MLA	Ullah S,et al."New analytic buckling solutions of moderately thick clamped rectangular plates by a straightforward finite integral transform method".ARCHIVE OF APPLIED MECHANICS 89.9(2019):1885-1897.

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