| 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
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| Corresponding Author | Li, Rui([email protected]) |
| Source Publication | ARCHIVE OF APPLIED MECHANICS
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| 2019-09-01 | |
| Volume | 89Issue:9Pages:1885-1897 |
| ISSN | 0939-1533 |
| Abstract | 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. |
| Keyword | Analytic solution Thick plate Buckling Finite integral transform method |
| DOI | 10.1007/s00419-019-01549-6 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000487131300010 |
| WOS Keyword | SYMPLECTIC ELASTICITY APPROACH ; FREE-VIBRATION ; MINDLIN PLATES ; FOUNDATION ; REISSNER |
| WOS Research Area | Mechanics |
| WOS Subject | Mechanics |
| Funding Project | 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] |
| Funding Organization | 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 |
| Classification | Q3 |
| Ranking | 1 |
| Contributor | Li, Rui |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/80612 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 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 |
| 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.Rp_Au:Li, Rui |
| 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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| File Name/Size | DocType | Version | Access | License | ||
| Jp2019416.pdf（1155KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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