Analytical solutions for the vibrations of thick symmetric angle-ply laminated composite cylindrical shells are established using the firstorder shear deformation theory. The complex method is developed to deal with the partial differential governing equations of thick symmetric angle-ply laminated
Anti-symmetric angle-ply laminated thick cylindrical panels
โ Scribed by H.R.H. Kabir
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 847 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0020-7683
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โฆ Synopsis
Hither-to-fore an unavailable analytical solution (strong form or differential form) to the boundary-value problem of advanced fiber reinforced anti-symmetric angle-ply laminated cylindrical panels of rectangular planform subjected to static loadings is presented. A variationally consistent higher shell theory is utilized that generates five highly coupled fourth order partial differential equations in five unknowns, three displacements, and two rotations. A boundary continuous double Fourier series-based solution functions is assumed to solve such equations in conjunction with the admissible boundary conditions. The numerical results constitute the study of convergence of displacements, in-plane forces, and moments ; and spatial variations of them presented in the form of contour plotting for various parametric effects. These, hither-to unavailable solutions, and analytically obtained numerical results should serve as bench-marks for future comparisons of popular approximate methods (integral form or weak form), such as finite element, boundary element, finite difference, Galerkin approach, Rayleigh-Ritz, collocation, least-squares methods, and experimental results, etc.
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