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Structural Engineering and Mechanics Volume 39, Number 4, August25 2011 , pages 579-598 DOI: https://doi.org/10.12989/sem.2011.39.4.579 |
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A novel meshfree model for buckling and vibration analysis of rectangular orthotropic plates |
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Tinh Quoc Bui and Minh Ngoc Nguyen
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| Abstract | ||
| The present work mainly reports a significant development of a novel efficient meshfree method for vibration and buckling analysis of orthotropic plates. The plate theory with orthotropic materials is followed the Kirchhoff\'s assumption in which the only deflection is field variable and approximated by the moving Kriging interpolation approach, a new technique used for constructing the shape functions. The moving Kriging technique holds the Kronecker delta property, thus it makes the method efficiently in imposing the essential boundary conditions and no special techniques are required. Assessment of numerical results is to accurately illustrate the applicability and the effectiveness of the proposed method in the class of eigenvalue problems. | ||
| Key Words | ||
| vibration; meshfree; moving Kriging interpolation; orthotropic plate; buckling | ||
| Address | ||
| Tinh Quoc Bui: Chair of Structural Mechanics, Department of Civil Engineering, University of Siegen, Paul-Bonatz-Strasse 9-11, D-57076, Siegen, Germany Minh Ngoc Nguyen: Department of Civil Engineering, Ruhr University Bochum, Germany | ||