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

doi:10.1007/s00419-019-01549-6

CORC > 力学研究所 > 中国科学院力学研究所 > 非线性力学国家重点实验室

	New analytic buckling solutions of moderately thick clamped rectangular plates by a straightforward finite integral transform method
	Li R 1,2,3; Zhong Y 4; Zhang JH 4; Zheng XR 2,3; Wang HY 2,3; Ullah S 4
刊名	ARCHIVE OF APPLIED MECHANICS
	2019-09-01
卷号	89 期号:9 页码:1885-1897
关键词	Analytic solution Thick plate Buckling Finite integral transform method
ISSN号	0939-1533
DOI	10.1007/s00419-019-01549-6
通讯作者	Li, Rui(ruili@dlut.edu.cn)
英文摘要	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.
分类号	Q3
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]
WOS关键词	SYMPLECTIC ELASTICITY APPROACH ; FREE-VIBRATION ; MINDLIN PLATES ; FOUNDATION ; REISSNER
WOS研究方向	Mechanics
语种	英语
WOS记录号	WOS:000487131300010
资助机构	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
其他责任者	Li, Rui
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/80612]
专题	力学研究所_非线性力学国家重点实验室
作者单位	1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China 2.Dalian Univ Technol, Int Res Ctr Computat Mech, Dalian 116024, Peoples R China; 3.Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China; 4.Dalian Univ Technol, Fac Infrastruct Engn, Dalian 116024, Peoples R China;
推荐引用方式 GB/T 7714	Li R,Zhong Y,Zhang JH,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	Li R,Zhong Y,Zhang JH,Zheng XR,Wang HY,&Ullah S.(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	Li R,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.