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A Meshless Method Using Radial Basis Functions for Beam Bending Problems
| AUTHOR | Administration (Nasa), National Aeronaut |
| PUBLISHER | Independently Published (08/05/2020) |
| PRODUCT TYPE | Paperback (Paperback) |
Description
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. Raju, I. S. and Phillips, D. R. and Krishnamurthy, T. Langley Research Center NASA/TP-2004-212996, L-19056 WU 23-762-55-TH GALERKIN METHOD; BOUNDARY VALUE PROBLEMS; EULER-BERNOULLI BEAMS; INTERPOLATION; PATCH TESTS; INVERSIONS; BENDING
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Product Details
ISBN-13:
9798672696393
Binding:
Paperback or Softback (Trade Paperback (Us))
Content Language:
English
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Page Count:
38
Carton Quantity:
108
Product Dimensions:
8.50 x 0.08 x 11.02 inches
Weight:
0.25 pound(s)
Country of Origin:
US
Subject Information
BISAC Categories
Reference | Research
Reference | Space Science - General
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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. Raju, I. S. and Phillips, D. R. and Krishnamurthy, T. Langley Research Center NASA/TP-2004-212996, L-19056 WU 23-762-55-TH GALERKIN METHOD; BOUNDARY VALUE PROBLEMS; EULER-BERNOULLI BEAMS; INTERPOLATION; PATCH TESTS; INVERSIONS; BENDING
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