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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Steel and Composite Structures, An International Journal Steel and Composite Structures, An International Journal Vol.28 No.6
- 발행연도
- 2018.1
- 수록면
- 655 - 670 (16page)
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초록· 키워드
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A coupled method, that combines the Ritz method and the finite element (FE) method, is proposed to solve the vibration problem of rectangular thin and thick plates with general boundary conditions. The eigenvalue partial differential equation(s) of the plate is (are) first reduced to a set of eigenvalue ordinary differential equations by the application of the Ritz method. The resulting eigenvalue differential equations are then reduced to an eigenvalue algebraic equation system using the finite element method. The natural boundary conditions of the plate problem including the free edge and free corner boundary conditions are also implemented in a simple and accurate manner. Various boundary conditions including simply supported, clamped and free boundary conditions are considered. Comparisons with existing numerical and analytical solutions show that the proposed mixed method can produce highly accurate results for the problems considered using a small number of Ritz terms and finite elements. The proposed mixed Ritz-FE formulation is also compared with the mixed FE-Ritz formulation which has been recently proposed by the present author and his co-author. It is found that the proposed mixed Ritz-FE formulation is more efficient than the mixed FE-Ritz formulation for free vibration analysis of rectangular plates with Levy-type boundary conditions.
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참고문헌 (51)
참고문헌 신청
G. Akhras / 2007 / Stability and vibration analysis of composite plates using spline finite strips with higher-order shear deformation / Structural Engineering and Mechanics, An Int＇l Journal 27(1):1~16
Ahmed S. Ashour / 2003 / Buckling and vibration of symmetric laminated composite plates with edges elastically restrained / Steel and Composite Structures, An International Journal 3(6):439~450
Nasrin Jafari / 2011 / Local buckling of thin and moderately thick variable thickness viscoelastic composite plates / Structural Engineering and Mechanics, An Int＇l Journal 40(6):783~800
Bassily, S.F. / 1975 / On the use of beam functions for problems of plates involving free edges / ASME J. Appl. Mech. 42:858~864
Bert, C.W. / 1988 / Two new approximate methods for analyzing free vibration of structural components / AIAA J. 26(5):612~618
Ahmed S. Ashour / 2003 / Buckling and vibration of symmetric laminated composite plates with edges elastically restrained / Steel and Composite Structures, An International Journal 3(6):439~450
Nasrin Jafari / 2011 / Local buckling of thin and moderately thick variable thickness viscoelastic composite plates / Structural Engineering and Mechanics, An Int＇l Journal 40(6):783~800
Bassily, S.F. / 1975 / On the use of beam functions for problems of plates involving free edges / ASME J. Appl. Mech. 42:858~864
Bert, C.W. / 1988 / Two new approximate methods for analyzing free vibration of structural components / AIAA J. 26(5):612~618
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