| Symplectic analytical solutions for free vibration of elastically line-hinged orthotropic rectangular plates with rotationally restrained edges | |
| Shi, Yueqing1,2,3; An, Dongqi1,2,3; Wu, Zichang1,2,3; Liang, Li1,2,3; Chen, Liang1,2,3,4; Li R(李锐)1,2,3,5 | |
| Corresponding Author | Li, Rui([email protected]) |
| Source Publication | APPLIED MATHEMATICAL MODELLING
 |
| 2024-12-01 | |
| Volume | 136Pages:40 |
| ISSN | 0307-904X |
| Abstract | The elastically line-hinged orthotropic rectangular plates with rotationally restrained edges are commonly used in engineering applications such as deployable structures. However, it is intractable to obtain the analytical solutions for the free vibration problems of such structures owing to the challenges in processing the high-order partial differential equations. Here, we make a first attempt to deal with such issues within the Hamilton system-based symplectic space. The problem of a plate is transformed into the symplectic space from the Euclidean space, and the subplates that may be analyzed analytically by the symplectic superposition method are then obtained with the division of the entire plate. The complex boundary and connection forms are achieved by enforcing mechanical quantities with undetermined expansion coefficients on the edges of the subplates. By integrating the solutions of the subplates, the final solution of an elastically line-hinged orthotropic rectangular plate with rotationally restrained edges is accessible. The proposed solution scheme is performed with rational derivations, with no requirement for pre-defined solution forms. Comprehensive results with validations under various boundary and hinge connection cases are presented. Moreover, detailed parametric investigations are conducted, which could facilitate the engineering design of deployable structures. |
| Keyword | Free vibration Analytical solution Plate Elastic line hinge Rotationally restrained edge |
| DOI | 10.1016/j.apm.2024.08.001 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001294948500001 |
| WOS Keyword | LAMINATED COMPOSITE PLATES ; SUPERPOSITION METHOD ; NATURAL FREQUENCIES ; ANISOTROPIC PLATES ; BENDING SOLUTIONS ; BUCKLING ANALYSIS ; SKEW PLATES ; THIN PLATES ; BEHAVIOR |
| WOS Research Area | Engineering ; Mathematics ; Mechanics |
| WOS Subject | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics |
| Funding Project | National Natural Science Foundation of China[12372067] ; National Natural Science Foundation of China[U21A20429] ; National Natural Science Foundation of China[12022209] ; National Defense Basic Scientific Research Program of China[JCKY2021205B003] ; Opening Fund of State Key Laboratory of Nonlinear Mechanics |
| Funding Organization | National Natural Science Foundation of China ; National Defense Basic Scientific Research Program of China ; Opening Fund of State Key Laboratory of Nonlinear Mechanics |
| Classification | 一类 |
| Ranking | 1 |
| Contributor | Li, Rui |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/96350 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.Dalian Univ Technol, State Key Lab Struct Anal, Optimizat, Dalian 116024, Peoples R China; 2.Dalian Univ Technol, Sch Mech & Aerosp Engn, CAE Software Ind Equipment, Dalian 116024, Peoples R China; 3.Dalian Univ Technol, Int Res Ctr Computat Mech, Dalian 116024, Peoples R China; 4.AVIC Shenyang Aircraft Design & Res Inst, Dept Strength, Shenyang 110035, Peoples R China; 5.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Shi, Yueqing,An, Dongqi,Wu, Zichang,et al. Symplectic analytical solutions for free vibration of elastically line-hinged orthotropic rectangular plates with rotationally restrained edges[J]. APPLIED MATHEMATICAL MODELLING,2024,136:40.Rp_Au:Li, Rui |
| APA | Shi, Yueqing,An, Dongqi,Wu, Zichang,Liang, Li,Chen, Liang,&李锐.(2024).Symplectic analytical solutions for free vibration of elastically line-hinged orthotropic rectangular plates with rotationally restrained edges.APPLIED MATHEMATICAL MODELLING,136,40. |
| MLA | Shi, Yueqing,et al."Symplectic analytical solutions for free vibration of elastically line-hinged orthotropic rectangular plates with rotationally restrained edges".APPLIED MATHEMATICAL MODELLING 136(2024):40. |
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