Analysis of multi-panel plate structures with the moving-least square mesh-free method

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Abstract

A moving-least square mesh-free method that is based on the first-order shear deformation theory (FSDT) is introduced to investigate multi-panel plate structures under different loadings and boundary conditions. The structures are regarded as assemblies of flat panels that lie in different planes. The governing equations of the flat panels are given by the moving-least square approximation and the FSDT. A treatment is implemented to modify the equations, and the equations are then superposed to obtain the governing equation of the entire structure. Unlike the finite element methods, no mesh is required in determining the governing equations for the flat panels, which means time-consuming remeshing is entirely avoided for future study on the large deformation problems of the structures. To demonstrate the accuracy of the method, several numerical examples are calculated. Good agreement is observed between the results given by the proposed method and the commercial finite element software ANSYS. © 2011 Published by Elsevier Ltd.

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Peng, L. X., Kai, M. G., & Tao, Y. P. (2012). Analysis of multi-panel plate structures with the moving-least square mesh-free method. In Procedia Engineering (Vol. 31, pp. 1095–1101). https://doi.org/10.1016/j.proeng.2012.01.1148

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