A Meshless Method Using Radial Basis Functions for Beam Bending Problems - Softcover

Raju, I S

Softcover

ISBN 10: 1289261326 ISBN 13: 9781289261320

Publisher: Bibliogov, 2013

Synopsis

A meshless local Petrov-Galerkin (MLPG) method that uses radial basis functions (RBFs) as trial functions in the study of Euler-Bernoulli beam problems is presented. RBFs, rather than generalized moving least squares (GMLS) interpolations, are used to develop the trial functions. This choice yields a computationally simpler method as fewer matrix inversions and multiplications are required than when GMLS interpolations are used. Test functions are chosen as simple weight functions as they are in the conventional MLPG method. Compactly and noncompactly supported RBFs are considered. Noncompactly supported cubic RBFs are found to be preferable. Patch tests, mixed boundary value problems, and problems with complex loading conditions are considered. Results obtained from the radial basis MLPG method are either of comparable or better accuracy than those obtained when using the conventional MLPG method.

Edition details

• Publisher: Bibliogov
• Publication date: 2013
• Language: English
• ISBN 10: 1289261326
• ISBN 13: 9781289261320
• Binding: Paperback
• Number of pages: 42