Nonlinear free vibration of laminated composite plates on elastic foundation with random system properties |
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Authors: | A Lal BN Singh R Kumar |
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Affiliation: | aDepartment of Applied Mechanics, MNNIT Allahabad, Allahabad 211004, India;bDepartment of Aerospace Engineering, Indian Institute of Technology, IIT Kharagpur, Kharagpur 721302, India;cDepartment of Applied Mechanics, MNNIT Allahabad, Allahabad 211004, India |
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Abstract: | The present investigation is concerned with free vibration analysis of laminated composite plates resting on elastic foundation undergoing large amplitude oscillation with random system properties. The lamina material properties and foundation stiffness parameters are modeled as basic random variables for accurate prediction of the system behavior. The basic formulation of the problem is based on higher-order shear displacement theory including rotatory inertia effects and von Karman-type nonlinear strain displacement relations. A C0 finite element is used for descretization of the laminate. A direct iterative method in conjunction with first-order Taylor series based perturbation technique procedure is developed to solve random nonlinear generalized eigenvalue problem. The developed probabilistic procedure is successfully used for the nonlinear free vibration problem with a reasonable accuracy. Typical numerical results (second-order statistics) are obtained for the composite plates resting on Winkler and Pasternak elastic foundations with different support conditions, side-to-thickness ratio, aspect ratio, oscillation amplitude ratio, stacking sequences and foundation parameters for symmetric and anti-symmetric cross-ply and angle-ply laminates. The results are validated with existing available results and independent Monte Carlo simulation. |
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Keywords: | Composite plates Random material properties Elastic foundation Free vibration |
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