IMECH-IR  > 非线性力学国家重点实验室
New Analytic Free Vibration Solutions of Rectangular Thick Plates With a Free Corner by the Symplectic Superposition Method
Li R; Wang PC; Wang B; Zhao CY; Su YW(苏业旺)
Source PublicationJOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME
2018-06-01
Volume140Issue:3Pages:31016
ISSN1048-9002
AbstractSeeking analytic free vibration solutions of rectangular thick plates without two parallel simply supported edges is of significance for an insight into the performances of related engineering devices and structures as well as their rapid design. A challenging set of problems concern the vibrating plates with a free corner, i.e., those with two adjacent edges free and the other two edges clamped or simply supported or one of them clamped and the other one simply supported. The main difficulty in solving one of such problems is to find a solution meeting both the boundary conditions at each edge and the condition at the free corner, which is unattainable using a conventional analytic method. In this paper, for the first time, we extend a novel symplectic superposition method to free vibration of rectangular thick plates with a free corner. The analytic frequency and mode shape solutions are both obtained and presented via comprehensive numerical and graphic results. The rigorousness in mathematical derivation and rationality of the method (without any predetermination for the solutions) guarantee the validity of our analytic solutions, which themselves are also validated by the reported results and refined finite element analysis.
Keywordthick plate free corner free vibration analytic solution symplectic superposition method
DOI10.1115/1.4038951
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000430360300016
WOS KeywordTRANSVERSE VIBRATION ; BOUNDARY-CONDITIONS ; ELASTICITY APPROACH ; SHEAR DEFORMATION ; SUPPORTS
WOS Research AreaAcoustics ; Engineering, Mechanical ; Mechanics
WOS SubjectAcoustics ; Engineering ; Mechanics
Funding OrganizationYoung Elite Scientist Sponsorship Program by CAST [2015QNRC003] ; National Basic Research Program of China [2014CB046506] ; National Natural Science Foundation of China [11302038, 11572323, 11772331] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB22040501] ; State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology [GZ1603] ; State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology [DMETKF2017008]
Classification二类
Ranking1
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/77903
Collection非线性力学国家重点实验室
Affiliation1.Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China
2.Dalian Univ Technol, Int Res Ctr Computat Mech, Dalian 116024, Peoples R China
3.Huazhong Univ Sci & Technol, State Key Lab Digital Mfg Equipment & Technol, Wuhan 430074, Hubei, Peoples R China
4.Peking Univ, Coll Engn, Beijing 100871, Peoples R China
5.Univ Sci & Technol China, Dept Modern Mech, CAS Key Lab Mech Behav & Design Mat, Hefei 230027, Anhui, Peoples R China
6.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
7.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Li R,Wang PC,Wang B,et al. New Analytic Free Vibration Solutions of Rectangular Thick Plates With a Free Corner by the Symplectic Superposition Method[J]. JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME,2018,140(3):31016.
APA Li R,Wang PC,Wang B,Zhao CY,&苏业旺.(2018).New Analytic Free Vibration Solutions of Rectangular Thick Plates With a Free Corner by the Symplectic Superposition Method.JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME,140(3),31016.
MLA Li R,et al."New Analytic Free Vibration Solutions of Rectangular Thick Plates With a Free Corner by the Symplectic Superposition Method".JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME 140.3(2018):31016.
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