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Finite integral transform method for analytical solutions of static problems of cylindrical shell panels
An DQ1,2; Xu D1,2; Ni ZF1,2; Su YW(苏业旺)1,2,3,4; Wang B1,2; Li R1,2
Source PublicationEUROPEAN JOURNAL OF MECHANICS A-SOLIDS
2020-09-01
Volume83Pages:11
ISSN0997-7538
AbstractIn this paper, a double finite integral transform method is developed for analytical bending solutions of non-Levy-type cylindrical shell panels without a free edge that were not obtained by classical semi-inverse methods. Three double finite integral transforms are imposed on the governing high-order partial differential equations, which, with some boundary conditions, yields the relationship between the transformed quantities and specific unknowns. Incorporating the inversions into the remaining boundary conditions leads to systems of linear algebraic equations, which determine the final analytical solutions. Comprehensive benchmark results for representative cylindrical shell panels with combinations of clamped and simply supported edges are presented, which are well validated by satisfactory agreement with other solution methods. Due to its rigorous and straightforward solution procedure, the developed method provides a solid easy-to-implement approach for exploring new analytical solutions.
KeywordFinite integral transform Analytical solution Cylindrical shell Static problem
DOI10.1016/j.euromechsol.2020.104033
Indexed BySCI ; EI
Language英语
WOS IDWOS:000540836800016
WOS KeywordBUCKLING SOLUTIONS ; VIBRATION ; PLATES
WOS Research AreaMechanics
WOS SubjectMechanics
Funding OrganizationNational Natural Science Foundation of China[11972103] ; National Natural Science Foundation of China[11825202] ; Liaoning Revitalization Talents Program[XLYC1807126] ; Liaoning Revitalization Talents Program[XLYC1802020] ; Beijing Municipal Science and Technology Commission[Z191100002019010] ; Beijing Municipal Natural Science Foundation[2202066] ; Key Research Program of Frontier Sciences of the Chinese Academy of Sciences[ZDBS-LY-JSC014] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22040501] ; State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology[GZ19102]
Classification一类
Ranking4
ContributorLi, Rui
Citation statistics
Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/84726
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.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China;
4.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
An DQ,Xu D,Ni ZF,et al. Finite integral transform method for analytical solutions of static problems of cylindrical shell panels[J]. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,2020,83:11.
APA An DQ,Xu D,Ni ZF,苏业旺,Wang B,&Li R.(2020).Finite integral transform method for analytical solutions of static problems of cylindrical shell panels.EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,83,11.
MLA An DQ,et al."Finite integral transform method for analytical solutions of static problems of cylindrical shell panels".EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 83(2020):11.
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