Vibration of antisymmetric angle-ply laminated plates under higher order shear theory
| Autor: | Saira Javed, Kodakkal Kannan Viswanathan, K. Karthik, Zainal Abdul Aziz, Jong-Han Lee |
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| Rok vydání: | 2016 |
| Předmět: |
Antisymmetric relation
Shear deformation theory Mathematical analysis Metals and Alloys Geometry 02 engineering and technology Building and Construction 021001 nanoscience & nanotechnology Coupled differential equations Vibration Spline (mathematics) 020303 mechanical engineering & transports 0203 mechanical engineering Shear (geology) 0210 nano-technology Eigenvalues and eigenvectors Eigendecomposition of a matrix Civil and Structural Engineering Mathematics |
| Zdroj: | Steel and Composite Structures. 22:1281-1299 |
| ISSN: | 1229-9367 |
| Popis: | This paper deals with the analysis of vibration of antisymmetric angle-ply plates using spline method for higher order shear theory. Free vibration of laminated plates is addressed to show the capability of the present method in the vicinity of higher order shear deformation theory and simply supported edges of plates. The coupled differential equations are obtained in terms displacement and rotational functions. These displacement and rotational functions are approximated using cubic and quantic spline. A generalized eigenvalue problem is obtained and solved numerically for an eigenfrequency parameter and an associated eigenvector of spline coefficients. The antisymmetric angle-ply fiber orientation are taken as design variables. Numerical results enable us to examine the frequencies for various geometric and material parameters and accuracy and effectiveness of the proposed method is also verified by comparative study. |
| Databáze: | OpenAIRE |
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