Vibration of antisymmetric angle-ply composite annular plates of variable thickness
| Autor: | Jin-Gyu Lee, Zainal Abdul Aziz, A. K. Nor Hafizah, Kodakkal Kannan Viswanathan |
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| Rok vydání: | 2018 |
| Předmět: |
Physics
Antisymmetric relation Mechanical Engineering Mathematical analysis 02 engineering and technology 01 natural sciences Exponential function Vibration Algebraic equation Spline (mathematics) 020303 mechanical engineering & transports 0203 mechanical engineering Mechanics of Materials 0103 physical sciences Boundary value problem 010301 acoustics Eigenvalues and eigenvectors Parametric statistics |
| Zdroj: | Journal of Mechanical Science and Technology. 32:2155-2162 |
| ISSN: | 1976-3824 1738-494X |
| Popis: | Based on first order shear deformation theory, free vibrational behaviour of antisymmetric angle-ply composite annular plate is investigated. The thickness variations are assumed to be linear, exponential and sinusoidal along the radial direction. The equilibrium equations are obtained from which the coupled differential equations are derived in terms of displacement and rotation functions. These functions are approximated using splines to obtain the system of algebraic equations in terms of spline coefficients where the equation becomes a generalized eigenvalue problem by combining the boundary conditions. This problem is solved for finding eigenfrequencies and corresponding eigenvectors. This study is conducted for clamped-clamped and clamped-free boundary conditions. Detailed parametric investigation is carried out to determine the influences of radii ratio, number of layers, ply orientations and materials on the frequencies of plates. The primary results of this study are compared with those available in the literatures. |
| Databáze: | OpenAIRE |
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