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Chinese Academy of Sciences Institutional Repositories Grid
New analytic buckling solutions of moderately thick clamped rectangular plates by a straightforward finite integral transform method

文献类型:期刊论文

作者Li R1,2,3; Zhong Y4; Zhang JH4; Zheng XR2,3; Wang HY2,3; Ullah S4
刊名ARCHIVE OF APPLIED MECHANICS
出版日期2019-09-01
卷号89期号:9页码:1885-1897
ISSN号0939-1533
关键词Analytic solution Thick plate Buckling Finite integral transform method
DOI10.1007/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
WOS关键词SYMPLECTIC ELASTICITY APPROACH ; FREE-VIBRATION ; MINDLIN PLATES ; FOUNDATION ; REISSNER
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
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.

入库方式: OAI收割

来源:力学研究所

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