Free vibration of non-L<acute accent>evy-type rectangular line-hinged plates: Analytical solutions in the symplectic framework

doi:10.1016/j.tws.2024.111692

CORC > 力学研究所 > 中国科学院力学研究所 > 非线性力学国家重点实验室

	Free vibration of non-Levy-type rectangular line-hinged plates: Analytical solutions in the symplectic framework
	Shi, Yueqing 4,5; Zhou, Chao 3; Ni, Zhuofan 4,5; Wang, Zixuan 4,5; Wang, Chengbo 2; Li, Rui 1,4,5
刊名	THIN-WALLED STRUCTURES
	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
DOI	10.1016/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.
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关键词	BUCKLING SOLUTIONS ; THIN PLATES ; SUPERPOSITION METHOD ; CANTILEVER PLATES ; BENDING SOLUTIONS ; WAVE-PROPAGATION ; EDGES
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
内容类型	期刊论文
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
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.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.