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Symplectic analytical solutions for free vibration of elastically line-hinged orthotropic rectangular plates with rotationally restrained edges

文献类型：期刊论文

作者Shi, Yueqing3,4,5; An, Dongqi3,4,5; Wu, Zichang3,4,5; Liang, Li3,4,5; Chen, Liang2,3,4,5; Li R(李锐)1,3,4,5
刊名APPLIED MATHEMATICAL MODELLING
出版日期2024-12-01
卷号136页码:40
关键词Free vibration Analytical solution Plate Elastic line hinge Rotationally restrained edge
ISSN号0307-904X
DOI10.1016/j.apm.2024.08.001
通讯作者Li, Rui(ruili@dlut.edu.cn)
英文摘要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.
分类号一类
WOS关键词LAMINATED COMPOSITE PLATES ; SUPERPOSITION METHOD ; NATURAL FREQUENCIES ; ANISOTROPIC PLATES ; BENDING SOLUTIONS ; BUCKLING ANALYSIS ; SKEW PLATES ; THIN PLATES ; BEHAVIOR
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 ; Mathematics ; Mechanics
语种英语
WOS记录号WOS:001294948500001
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/311007/96349]  
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.Dalian Univ Technol, Int Res Ctr Computat Mech, Dalian 116024, Peoples R China;
4.Dalian Univ Technol, Sch Mech & Aerosp Engn, CAE Software Ind Equipment, Dalian 116024, Peoples R China;
5.Dalian Univ Technol, State Key Lab Struct Anal, Optimizat, Dalian 116024, Peoples R China;
推荐引用方式
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.
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.

入库方式： OAI收割

来源：力学研究所

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