| A new analytical framework for free vibration solutions of rectangular plates with internal discontinuities | |
| Hu, Zhaoyang1,2,3; Liang, Li1,2; Shi, Yueqing1,2; Li R(李锐)1,2,4,5 | |
| Corresponding Author | Li, Rui([email protected]) |
| Source Publication | AEROSPACE SCIENCE AND TECHNOLOGY
 |
| 2024-10-01 | |
| Volume | 153Pages:19 |
| ISSN | 1270-9638 |
| Abstract | In this study, a new analytical framework for free vibration solutions of rectangular plates with various internal discontinuities is developed. The discontinuities caused by a line hinge, a rigid line support, or a step change in thickness are under consideration. All such discontinuities are bypassed via the domain decomposition technique, which divides the entire plate into sub-plates, and then the symplectic superposition is leveraged to analytically address the free vibration of the sub-plates. Specifically, the governing free vibration equations are elegantly reformulated in the Hamiltonian system and rigorously solved by the three mathematical treatments, i. e., separation of variables, eigen expansion, and superposition. This innovative framework, developed through the integration of the domain decomposition and the symplectic superposition, is particularly notable for its ability to simplify the mathematical challenges in obtaining analytical solutions of plates with internal discontinuities. The obtained analytical solutions are well validated by other methods and are thus capable of serving as benchmarks for future studies. These solutions also reveal distinct vibration characteristics of plates with different internal discontinuities. In comparison to continuous plates, plates with a line hinge exhibit lower natural frequencies due to increased flexibility, whereas plates with a rigid line support demonstrate higher natural frequencies due to restricted deflection at the support location. Furthermore, the design of stepped plates with thickened sub-plates effectively suppresses vibration, hence achieving higher natural frequencies. In view of the wide usage of plate assemblies in engineering, the present framework is expected to facilitate their earlystage design and parametric optimization. |
| Keyword | Analytical solution Free vibration Rectangular plate Discontinuity Hamiltonian system |
| DOI | 10.1016/j.ast.2024.109453 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001296915300001 |
| WOS Keyword | DYNAMIC STIFFNESS METHOD ; LAMINATED COMPOSITE PLATES ; SHEAR DEFORMATION-THEORY ; MINDLIN PLATES ; THICKNESS ; ASSEMBLIES ; BEAMS |
| WOS Research Area | Engineering |
| WOS Subject | Engineering, Aerospace |
| 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/311007/96391 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Optimizat & CAE Software, Dalian 116024, Peoples R China; 2.Dalian Univ Technol, Int Res Ctr Computat Mech, Dalian 116024, Peoples R China; 3.Shanghai Jiao Tong Univ, Univ Michigan Shanghai Jiao Tong Univ Joint Inst, Shanghai 200240, Peoples R China; 4.Key Lab Digital Twin Aircraft Struct Strength, Shenyang 110035, Liaoning, Peoples R China; 5.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Hu, Zhaoyang,Liang, Li,Shi, Yueqing,et al. A new analytical framework for free vibration solutions of rectangular plates with internal discontinuities[J]. AEROSPACE SCIENCE AND TECHNOLOGY,2024,153:19.Rp_Au:Li, Rui |
| APA | Hu, Zhaoyang,Liang, Li,Shi, Yueqing,&李锐.(2024).A new analytical framework for free vibration solutions of rectangular plates with internal discontinuities.AEROSPACE SCIENCE AND TECHNOLOGY,153,19. |
| MLA | Hu, Zhaoyang,et al."A new analytical framework for free vibration solutions of rectangular plates with internal discontinuities".AEROSPACE SCIENCE AND TECHNOLOGY 153(2024):19. |
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