1. New developments in the radial basis functions analysis of composite shells
- Author
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Roque, C.M.C. and Ferreira, A.J.M.
- Subjects
- *
MATHEMATICAL optimization , *MATHEMATICAL analysis , *MATHEMATICS , *MAXIMA & minima , *OPERATIONS research - Abstract
Abstract: In this paper, we use the third order shear deformation theory of Reddy [Reddy JN. Mechanics of laminated composite plates and shells. CRC Press; 2004] with a meshless numerical method to analyze the static deformation of composite plates and shells. Numerical results are compared with Navier solutions in various examples. The meshless collocation method based on radial basis functions requires a user-defined shape parameter than can compromise the quality of the solution when poorly chosen. To improve the choice of this shape parameter, we apply an optimization technique based on the leave-one-out cross validation analysis to obtain the shape parameter in a given interval. The results obtained were significantly better than those produced with a user-defined shape parameter. [Copyright &y& Elsevier]
- Published
- 2009
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