Influence of thickness shear deformation on free vibrations of rectangular plates,cylindrical panels and cylinders of antisymmetric angle-ply construction |
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| Institution: | 1. Department of Civil Engineering, International University, Quarter 6, Linh Trung Ward, Thu Duc District, Ho Chi Minh City, Viet Nam;2. Vietnam National University, Linh Trung Ward, Thu Duc District, Ho Chi Minh City, Viet Nam;3. Department of Civil and Environmental Engineering, University of Ulsan, 93, Daehak-ro, Nam-gu, Ulsan 44610, South Korea;1. Department of Architectural Engineering, Sejong University, 98 Gunja-dong, Gwangjin-gu, Seoul 143-747, Republic of Korea;2. Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;3. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;4. School of Architecture, Yeungnam University, 280, Daehak-Ro, Gyeongsan, Gyeongbuk 38541, Republic of Korea;1. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;2. School of Hydraulic Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | This paper is concerned with the influence of thickness shear deformation and rotatory inertia on the free vibrations of antisymmetric angle-ply laminated circular cylindrical panels. Two kinds of thickness shear deformable shell theories are considered. In the first one, uniformly distributed thickness shear strains through the shell thickness and, therefore, thickness shear correction factors are used. In the second theory a parabolic variation of thickness shear strains and stresses with zero values at the inner and outer shell surfaces is assumed. The analysis is mainly based on Love's approximations but, for purposes of comparison, Donnell's shallow shell approximations are also considered. For a simply supported panel, the equations of motion of the aforementioned theories, as well as of the corresponding classical theories, are solved by using Galerkin's method. For a family of graphite-epoxy angle-ply laminated plates and circular cylindrical panels, numerical results are obtained, compared and discussed and some interesting conclusions are made regarding the shell theories considered as well as the mathematical method employed. |
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