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Unified Approach for Vibration Analyses of Annular Sector and Annular Plates with General Boundary Conditions
1
作者
石先杰
李春丽
魏发远
《Journal of Shanghai Jiaotong university(Science)》
EI
2017年第4期449-458,共10页
This paper presents a unified approach for predicting the free and forced (steady-state and transient) vibration analyses of annular sector and annular plates with various combinations of classical and non-classical b...
This paper presents a unified approach for predicting the free and forced (steady-state and transient) vibration analyses of annular sector and annular plates with various combinations of classical and non-classical boundary supports. In spite of the types of the boundary restraints and the shapes of the plates, the admissible displacement function is described as a modified trigonometric series expansion, and four sine terms are introduced to overcome all the relevant discontinuities or jumps of elastic boundary conditions. Mathematically, the unification of various boundary value problems for annular sector and annular plates is physically realized by setting a set of coupling springs to ensure appropriate continuity conditions along the radial edges of concern. Numerous examples are presented for the free vibration analyses of annular sector and annular plates with different boundary restraints. With regard to the forced vibration analysis, annular sector and annular plates with different external excitations are examined. The accuracy, convergence and numerical robustness of the current approach are extensively demonstrated and verified through numerical examples which involve plates with various shapes and boundary conditions. © 2017, Shanghai Jiaotong University and Springer-Verlag Berlin Heidelberg.
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关键词
annular
sector
plates
annular
plates
VIBRATION
general
boundary
conditions
原文传递
题名
Unified Approach for Vibration Analyses of Annular Sector and Annular Plates with General Boundary Conditions
1
作者
石先杰
李春丽
魏发远
机构
Institute of Systems Engineering
出处
《Journal of Shanghai Jiaotong university(Science)》
EI
2017年第4期449-458,共10页
基金
the National Natural Science Foundation of China(No.51505445)
the Key Subject“Computational Solid Mechanics”of the China Academy of Engineering Physics
文摘
This paper presents a unified approach for predicting the free and forced (steady-state and transient) vibration analyses of annular sector and annular plates with various combinations of classical and non-classical boundary supports. In spite of the types of the boundary restraints and the shapes of the plates, the admissible displacement function is described as a modified trigonometric series expansion, and four sine terms are introduced to overcome all the relevant discontinuities or jumps of elastic boundary conditions. Mathematically, the unification of various boundary value problems for annular sector and annular plates is physically realized by setting a set of coupling springs to ensure appropriate continuity conditions along the radial edges of concern. Numerous examples are presented for the free vibration analyses of annular sector and annular plates with different boundary restraints. With regard to the forced vibration analysis, annular sector and annular plates with different external excitations are examined. The accuracy, convergence and numerical robustness of the current approach are extensively demonstrated and verified through numerical examples which involve plates with various shapes and boundary conditions. © 2017, Shanghai Jiaotong University and Springer-Verlag Berlin Heidelberg.
关键词
annular
sector
plates
annular
plates
VIBRATION
general
boundary
conditions
分类号
TB53 [理学—声学]
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Unified Approach for Vibration Analyses of Annular Sector and Annular Plates with General Boundary Conditions
石先杰
李春丽
魏发远
《Journal of Shanghai Jiaotong university(Science)》
EI
2017
0
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