A new analytical framework for free vibration solutions of rectangular plates with internal discontinuities
文献类型：期刊论文
| 作者 | Hu, Zhaoyang3,4,5; Liang, Li4,5; Shi, Yueqing4,5; Li, Rui1,2,4,5 |
| 刊名 | AEROSPACE SCIENCE AND TECHNOLOGY
 |
| 出版日期 | 2024-10-01 |
| 卷号 | 153页码:19 |
| 关键词 | Analytical solution Free vibration Rectangular plate Discontinuity Hamiltonian system |
| ISSN号 | 1270-9638 |
| DOI | 10.1016/j.ast.2024.109453 |
| 通讯作者 | Li, Rui(ruili@dlut.edu.cn) |
| 英文摘要 | 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. |
| WOS关键词 | DYNAMIC STIFFNESS METHOD ; LAMINATED COMPOSITE PLATES ; SHEAR DEFORMATION-THEORY ; MINDLIN PLATES ; THICKNESS ; ASSEMBLIES ; BEAMS |
| 资助项目 | 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 |
| WOS研究方向 | Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:001296915300001 |
| 资助机构 | National Natural Science Foundation of China ; National Defense Basic Scientific Research Program of China ; Opening Fund of State Key Laboratory of Nonlinear Mechanics |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/96390]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 通讯作者 | Li, Rui |
| 作者单位 | 1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China 2.Key Lab Digital Twin Aircraft Struct Strength, Shenyang 110035, Liaoning, Peoples R China 3.Shanghai Jiao Tong Univ, Univ Michigan Shanghai Jiao Tong Univ Joint Inst, Shanghai 200240, Peoples R China 4.Dalian Univ Technol, Int Res Ctr Computat Mech, Dalian 116024, Peoples R China 5.Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Optimizat & CAE Software, Dalian 116024, Peoples R China |
| 推荐引用方式 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. |
| APA | Hu, Zhaoyang,Liang, Li,Shi, Yueqing,&Li, Rui.(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. |
入库方式： OAI收割
来源：力学研究所
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