Two versions of a {1, 2} higher order laminate plate theory are derived for elastodynamics and used to compute natural frequencies and mode shapes for homogeneous and laminated plates. The theories include deformations due to transverse shear and transverse normal stretching and account for rotary a
Stability and vibration of thick laminated composite sector plates
โ Scribed by Ashish Sharma; H.B. Sharda; Y. Nath
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 340 KB
- Volume
- 287
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
This study presents a simple analytical formulation for the eigenvalue problem of buckling and free vibration 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 in terms of twodimensional Chebyshev polynomials. Several combinations of simply supported, clamped and free edge conditions are considered. Convergence study has been carried out and the obtained results are compared with the results of laminated square plates and isotropic sector plates available in literature. Extensive results pertaining to critical buckling loads and natural frequencies are presented. Effects of boundary conditions, number of layers, moduli ratio, rotary and in-plane inertia, plate thickness, sector angle and annularity are studied.
๐ SIMILAR VOLUMES
Equations of motion for antisymmetric angle-ply plates in a general state of non-uniform initial stresses, where the effects of transverse shear and rotatory inertia are included, are derived by using Trefftz equations and the variational principle. These equations are then non-dimensionalized to a
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.
A free vibration analysis of laminated annular sector plates is described. The edges of the plates are clamped. The in-plane and rotatory inertia are included in the analysis. The frequencies are obtained by using an integral equation technique. For numerical work a two layered SGE cross-ply plate i
This paper investigates the free vibration of symmetrically laminated, thick, doubly connected plates of arbitray plate perimeter for the outer boundary and a hole de"ned by a super-elliptical equation which is able to describe a rectangle, ellipse or quasi-rectangle. The laminated perforated plates