Loading...
Please wait, while we are loading the content...
Similar Documents
A meshless method using radial basis functions for beam bending problems
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Raju, I. S. Krishnamurthy, T. Phillips, D. R. |
| Copyright Year | 2004 |
| 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. |
| File Size | 3992008 |
| Page Count | 38 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_20040191554 |
| Archival Resource Key | ark:/13960/t0cv9g692 |
| Language | English |
| Publisher Date | 2004-11-01 |
| Access Restriction | Open |
| Subject Keyword | Structural Mechanics Interpolation Boundary Value Problems Inversions Euler-bernoulli Beams Bending Galerkin Method Patch Tests Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
