The non-linear transient analysis of the shear deformable laminated composite plates, subjected to step, ramp and sinusoidal loading is presented. The clamped, simply supported, free and their combinations (non-Levy type) of boundary conditions are considered. The formulation is based on the Mindlin
Non-linear analysis of moderately thick sector plates
โ Scribed by Y. Nath; H.B. Sharda; Ashish Sharma
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 360 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1007-5704
No coin nor oath required. For personal study only.
โฆ Synopsis
Non-linear static analysis of moderately thick sector plates under uniformly distributed loading is presented. Using the first-order shear deformation theory and Von Karman type non-linearity, the governing equations of equilibrium are developed and expressed in terms of displacement components. The Chebyshev polynomial is used for spatial discretization of the differential equations. An iterative incremental approach based on Newton-Raphson method is used for the solution. Convergence study is carried out. Effects of annularity, thickness ratio, sector angle and boundary conditions are investigated. Results are compared with those available from the literature.
๐ SIMILAR VOLUMES
This study presents a simple formulation for the nonlinear dynamic analysis of shear-deformable laminated sector plates made up of cylindrically orthotropic layers. The non-axisymmetric formulation in cylindrical coordinates is discretized in space domain using two-dimensional Chebyshev polynomials.
In this article, thermal buckling analysis of moderately thick functionally graded annular sector plate is studied. The equilibrium and stability equations are derived using first order shear deformation plate theory. These equations are five highly coupled partial differential equations. By using a
This paper deals with the non-linear flexural vibrations of an initially imperfect, orthotropic, moderately thick plate with various out-of-plane and in-plane edge conditions. The imperfection displacement is considered in the strain-displacement relations of an orthotropic moderately thick plate.