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Nonlinear vibration analysis of composite laminated and sandwich plates with random material properties

Chandrashekhar, M and Ganguli, Ranjan (2010) Nonlinear vibration analysis of composite laminated and sandwich plates with random material properties. In: International Journal of Mechanical Sciences, 52 (7). pp. 874-891.

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Official URL: http://dx.doi.org/10.1016/j.ijmecsci.2010.03.002

Abstract

Nonlinear vibration analysis is performed using a C-0 assumed strain interpolated finite element plate model based on Reddy's third order theory. An earlier model is modified to include the effect of transverse shear variation along the plate thickness and Von-Karman nonlinear strain terms. Monte Carlo Simulation with Latin Hypercube Sampling technique is used to obtain the variance of linear and nonlinear natural frequencies of the plate due to randomness in its material properties. Numerical results are obtained for composite plates with different aspect ratio, stacking sequence and oscillation amplitude ratio. The numerical results are validated with the available literature. It is found that the nonlinear frequencies show increasing non-Gaussian probability density function with increasing amplitude of vibration and show dual peaks at high amplitude ratios. This chaotic nature of the dispersion of nonlinear eigenvalues is also r

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Elsevier Science.
Keywords: Nonlinear vibration;Finite element method;Composites; Material randomness;Latin hypercube;Monte Carlo simulation
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 14 Jul 2010 04:46
Last Modified: 19 Sep 2010 06:10
URI: http://eprints.iisc.ernet.in/id/eprint/28974

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