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New analytic buckling solutions of moderately thick clamped rectangular plates by a straightforward finite integral transform method
Ullah S1; Wang HY2,3; Zheng XR2,3; Zhang JH1; Zhong Y1; Li R2,3,4
Corresponding AuthorLi, Rui(ruili@dlut.edu.cn)
Source PublicationARCHIVE OF APPLIED MECHANICS
2019-09-01
Volume89Issue:9Pages:1885-1897
ISSN0939-1533
AbstractA 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.
KeywordAnalytic solution Thick plate Buckling Finite integral transform method
DOI10.1007/s00419-019-01549-6
Indexed BySCI ; EI
Language英语
WOS IDWOS:000487131300010
WOS KeywordSYMPLECTIC ELASTICITY APPROACH ; FREE-VIBRATION ; MINDLIN PLATES ; FOUNDATION ; REISSNER
WOS Research AreaMechanics
WOS SubjectMechanics
Funding ProjectYoung 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]
Funding OrganizationYoung 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
ClassificationQ3
Ranking1
ContributorLi, Rui
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/80613
Collection非线性力学国家重点实验室
Affiliation1.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
Recommended Citation
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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