RBF-Based Meshless Method for Large Deflection of Elastic Thin Rectangular Plates with Boundary Conditions Involving Free Edges

Mohammed M. Hussein Al-Tholaia and Husain Jubran Al-Gahtani

Mathematical Problems in Engineering, 2016, vol. 2016, 1-10

Abstract:

An RBF-based meshless method is presented for the analysis of thin plates undergoing large deflection. The method is based on collocation with the multiquadric radial basis function (MQ-RBF). In the proposed method, the resulting coupled nonlinear equations are solved using an incremental-iterative procedure. The accuracy and efficiency of the method are verified through several numerical examples. The inclusion of the free edge boundary condition proves that this method is accurate and efficient in handling such complex boundary value problems.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6489375

DOI: 10.1155/2016/6489375

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