Differential Quadrature Analysis of Free Vibration of Symmetric Cross-Ply Laminates with Shear Deformation and Rotatory Inertia
In the present work, laminates having two opposite edges simply supported are considered. The boundary conditions at the other two opposite edges may be general, and between these two edges, the thickness of the plate may be nonuniform. The theory used for the vibration analysis of such laminates in...
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| Format: | Article |
| Language: | English |
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Wiley
1995-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-1995-2406 |
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| _version_ | 1832551766729687040 |
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| author | Moinuddin Malik Charles W. Bert |
| author_facet | Moinuddin Malik Charles W. Bert |
| author_sort | Moinuddin Malik |
| collection | DOAJ |
| description | In the present work, laminates having two opposite edges simply supported are considered. The boundary conditions at the other two opposite edges may be general, and between these two edges, the thickness of the plate may be nonuniform. The theory used for the vibration analysis of such laminates includes shear deformation and rotatory inertia. The solution approach of the problem is semianalytical. By using the trigonometric functions describing the mode shapes between the simply supported edges, the governing plate equations are reduced to ordinary differential equations. The solution of the reduced equations is then sought by the differential quadrature method. The results reported in this article serve two objectives of the present investigations. One, it is demonstrated that the proposed semianalytical quadrature method offers a numerically accurate and computationally efficient technique for the title problem. Two, the relative effects of shear deformation and rotatory inertia are analyzed in a quantitative manner. |
| format | Article |
| id | doaj-art-dfc98b6aa0b64196b65ab473b6d29351 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-dfc98b6aa0b64196b65ab473b6d293512025-02-03T06:00:35ZengWileyShock and Vibration1070-96221875-92031995-01-012432133810.3233/SAV-1995-2406Differential Quadrature Analysis of Free Vibration of Symmetric Cross-Ply Laminates with Shear Deformation and Rotatory InertiaMoinuddin Malik0Charles W. Bert1School of Aerospace and Mechanical Engineering, The University of Oklahoma, Norman, OK 73019-0601, USASchool of Aerospace and Mechanical Engineering, The University of Oklahoma, Norman, OK 73019-0601, USAIn the present work, laminates having two opposite edges simply supported are considered. The boundary conditions at the other two opposite edges may be general, and between these two edges, the thickness of the plate may be nonuniform. The theory used for the vibration analysis of such laminates includes shear deformation and rotatory inertia. The solution approach of the problem is semianalytical. By using the trigonometric functions describing the mode shapes between the simply supported edges, the governing plate equations are reduced to ordinary differential equations. The solution of the reduced equations is then sought by the differential quadrature method. The results reported in this article serve two objectives of the present investigations. One, it is demonstrated that the proposed semianalytical quadrature method offers a numerically accurate and computationally efficient technique for the title problem. Two, the relative effects of shear deformation and rotatory inertia are analyzed in a quantitative manner.http://dx.doi.org/10.3233/SAV-1995-2406 |
| spellingShingle | Moinuddin Malik Charles W. Bert Differential Quadrature Analysis of Free Vibration of Symmetric Cross-Ply Laminates with Shear Deformation and Rotatory Inertia Shock and Vibration |
| title | Differential Quadrature Analysis of Free Vibration of Symmetric Cross-Ply Laminates with Shear Deformation and Rotatory Inertia |
| title_full | Differential Quadrature Analysis of Free Vibration of Symmetric Cross-Ply Laminates with Shear Deformation and Rotatory Inertia |
| title_fullStr | Differential Quadrature Analysis of Free Vibration of Symmetric Cross-Ply Laminates with Shear Deformation and Rotatory Inertia |
| title_full_unstemmed | Differential Quadrature Analysis of Free Vibration of Symmetric Cross-Ply Laminates with Shear Deformation and Rotatory Inertia |
| title_short | Differential Quadrature Analysis of Free Vibration of Symmetric Cross-Ply Laminates with Shear Deformation and Rotatory Inertia |
| title_sort | differential quadrature analysis of free vibration of symmetric cross ply laminates with shear deformation and rotatory inertia |
| url | http://dx.doi.org/10.3233/SAV-1995-2406 |
| work_keys_str_mv | AT moinuddinmalik differentialquadratureanalysisoffreevibrationofsymmetriccrossplylaminateswithsheardeformationandrotatoryinertia AT charleswbert differentialquadratureanalysisoffreevibrationofsymmetriccrossplylaminateswithsheardeformationandrotatoryinertia |