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An efficient meshfree method for vibration analysis of laminated composite plates

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Abstract

A detailed analysis of natural frequencies of laminated composite plates using the meshfree moving Kriging interpolation method is presented. The present formulation is based on the classical plate theory while the moving Kriging interpolation satisfying the delta property is employed to construct the shape functions. Since the advantage of the interpolation functions, the method is more convenient and no special techniques are needed in enforcing the essential boundary conditions. Numerical examples with different shapes of plates are presented and the achieved results are compared with reference solutions available in the literature. Several aspects of the model involving relevant parameters, fiber orientations, lay-up number, length-to-length, stiffness ratios, etc. affected on frequency are analyzed numerically in details. The convergence of the method on the natural frequency is also given. As a consequence, the applicability and the effectiveness of the present method for accurately computing natural frequencies of generally shaped laminates are demonstrated.

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Authors and Affiliations

  1. Department of Civil Engineering, University of Siegen, Paul-Bonatz-Strasse 9-11, 57076, Siegen, Germany

    Tinh Quoc Bui & Chuanzeng Zhang

  2. Computational Engineering Department, Ruhr University Bochum, Bochum, Germany

    Minh Ngoc Nguyen

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  1. Tinh Quoc Bui
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Bui, T.Q., Nguyen, M.N. & Zhang, C. An efficient meshfree method for vibration analysis of laminated composite plates. Comput Mech 48, 175–193 (2011). https://doi.org/10.1007/s00466-011-0591-8

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