This work deals with accurate free-vibration analysis of anisotropic, simply supported plates of square planform. Refined plate theories, which include layer-wise, equivalent single layer and zig-zag models, with increasing number of displacement variables are take into account. Linear up to fourth N-order expansion, in the thickness layer-plate direction have been implemented for the introduced displacement field. Rayleigh-Ritz method based on principle of virtual displacement is derived in the framework of Carrera’s unified formulation. Regular symmetric angle-ply and cross-ply laminates are addressed. Convergence studies are made in order to demonstrate that accurate results are obtained by using a set of trigonometric functions. The effects of the various parameters (material, number of layers, and fiber orientation) upon the frequencies and mode shapes are discussed. Numerical results are compared with available results in literature.
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e-mail: Fiorenzo.Fazzolari.1@city.ac.uk
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December 2011
Research Papers
Vibration Analysis of Anisotropic Simply Supported Plates by Using Variable Kinematic and Rayleigh-Ritz Method
Erasmo Carrera,
Erasmo Carrera
Professor
Aeronautics and Space Engineering Department,
Politecnico di Torino
, Torino, Italy
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Fiorenzo Adolfo Fazzolari,
Fiorenzo Adolfo Fazzolari
School of Engineering and Mathematical Sciences,
e-mail: Fiorenzo.Fazzolari.1@city.ac.uk
City University London
, Northampton Square, London EC1V 0HB United Kingdom
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Luciano Demasi
Luciano Demasi
Assistant Professor
Department of Aerospace Engineering and Engineering Mechanics,
San Diego State University
, San Diego, CA 92182-1308
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Erasmo Carrera
Professor
Aeronautics and Space Engineering Department,
Politecnico di Torino
, Torino, Italy
Fiorenzo Adolfo Fazzolari
School of Engineering and Mathematical Sciences,
City University London
, Northampton Square, London EC1V 0HB United Kingdom
e-mail: Fiorenzo.Fazzolari.1@city.ac.uk
Luciano Demasi
Assistant Professor
Department of Aerospace Engineering and Engineering Mechanics,
San Diego State University
, San Diego, CA 92182-1308J. Vib. Acoust. Dec 2011, 133(6): 061017 (16 pages)
Published Online: November 28, 2011
Article history
Received:
November 16, 2010
Revised:
May 30, 2011
Accepted:
June 6, 2011
Online:
November 28, 2011
Published:
November 28, 2011
Citation
Carrera, E., Fazzolari, F. A., and Demasi, L. (November 28, 2011). "Vibration Analysis of Anisotropic Simply Supported Plates by Using Variable Kinematic and Rayleigh-Ritz Method." ASME. J. Vib. Acoust. December 2011; 133(6): 061017. https://doi.org/10.1115/1.4004680
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