Nonlinear analysis of laminated axisymmetric spherical shells
| Autor: | M.C. Narasimhan, R.S. Alwar |
|---|---|
| Rok vydání: | 1993 |
| Předmět: |
Differential equation
Applied Mathematics Mechanical Engineering Mechanics Composite structures Differential equations Laminated composites Axisymmetric spherical shells Chebyshev-Galerkin spectral method Laminated orthotropic shells Nonlinear composite shell finite elements Shells (structures) Condensed Matter Physics Orthotropic material Spherical shell Finite element method Nonlinear system Classical mechanics Mechanics of Materials Modeling and Simulation General Materials Science Virtual work Spectral method Galerkin method Mathematics |
| Zdroj: | International Journal of Solids and Structures. 30:857-872 |
| ISSN: | 0020-7683 |
| DOI: | 10.1016/0020-7683(93)90044-8 |
| Popis: | The governing differential equations for the problem of laminated axisymmetric spherical shells undergoing large deformations are formulated using the principle of virtual work. An analytical solution of the governing equations based on the Chebyshev-Galerkin spectral method is investigated. The efficacy and applicability of the solution procedure is discovered using numerical results. Parametric studies are conducted to bring out the effect of factors like orthotropy ratio, R/h ratio, shear deformation and opening angle on the large deflection behaviour of laminated orthotropic spherical shells and interesting observations are made. The numerical results should prove helpful in testing the nonlinear composite shell finite elements. |
| Databáze: | OpenAIRE |
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