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Free vibration of non-Levy-type rectangular line-hinged plates: Analytical solutions in the symplectic framework

文献类型：期刊论文

作者Shi, Yueqing4,5; Zhou, Chao3; Ni, Zhuofan4,5; Wang, Zixuan4,5; Wang, Chengbo2; Li, Rui1,4,5
刊名THIN-WALLED STRUCTURES
出版日期2024-05-01
卷号198页码:21
关键词Analytical solution Free vibration Plate Line hinge Symplectic framework
ISSN号0263-8231
DOI10.1016/j.tws.2024.111692
通讯作者Li, Rui(ruili@dlut.edu.cn)
英文摘要The free vibration behavior of non-Le ' vy-type line-hinged plates is common in engineering, but it is intractable to deal with such an issue by analytical methods for the difficulties in solving the fourth-order partial differential equations under hinge conditions. This paper aims to extend the symplectic methodology to the free vibration of non-Le ' vy-type line-hinged plates. The solution procedure involves dividing a line-hinged plate into subplates, processing boundary and hinge conditions, formulating the corresponding subproblems which can be solved with an analytical symplectic superposition method, determining the imposed mechanical quantities, and integrating the solutions of subproblems. Compared to previous studies on line-hinged plates, the present analytical free vibration solutions are obtained with no need for predetermination of solution forms. The comprehensive results under six non-Le ' vy-type boundaries are all well validated and utilized for a parametric study, providing guidance for the structural design of hinged plates.
分类号一类
WOS关键词BUCKLING SOLUTIONS ; THIN PLATES ; SUPERPOSITION METHOD ; CANTILEVER PLATES ; BENDING SOLUTIONS ; WAVE-PROPAGATION ; EDGES
资助项目National Natural Science Foundation of China[12022209] ; National Natural Science Foundation of China[12372067] ; National Natural Science Foundation of China[U21A20429] ; National Defense Basic Scientific Research Program of China[JCKY2021205B003] ; Opening Fund of State Key Laboratory of Nonlinear Mechanics
WOS研究方向Engineering ; Mechanics
语种英语
WOS记录号WOS:001197149100001
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
其他责任者Li, Rui
源URL[http://dspace.imech.ac.cn/handle/311007/94842]  
专题力学研究所_非线性力学国家重点实验室
作者单位1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
2.AVIC Shenyang Aircraft Design & Res Inst, Dept Strength, Shenyang 110035, Peoples R China;
3.Jianghuai Advance Technol Ctr, Hefei 230000, 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		 Shi, Yueqing,Zhou, Chao,Ni, Zhuofan,et al. Free vibration of non-Levy-type rectangular line-hinged plates: Analytical solutions in the symplectic framework[J]. THIN-WALLED STRUCTURES,2024,198:21.
APA Shi, Yueqing,Zhou, Chao,Ni, Zhuofan,Wang, Zixuan,Wang, Chengbo,&Li, Rui.(2024).Free vibration of non-Levy-type rectangular line-hinged plates: Analytical solutions in the symplectic framework.THIN-WALLED STRUCTURES,198,21.
MLA Shi, Yueqing,et al."Free vibration of non-Levy-type rectangular line-hinged plates: Analytical solutions in the symplectic framework".THIN-WALLED STRUCTURES 198(2024):21.

入库方式： OAI收割

来源：力学研究所

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