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Meshless local petrov-galerkin method for bending problems
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Phillips, Dawn R. Raju, Ivatury S. |
| Copyright Year | 2002 |
| Description | Recent literature shows extensive research work on meshless or element-free methods as alternatives to the versatile Finite Element Method. One such meshless method is the Meshless Local Petrov-Galerkin (MLPG) method. In this report, the method is developed for bending of beams - C1 problems. A generalized moving least squares (GMLS) interpolation is used to construct the trial functions, and spline and power weight functions are used as the test functions. The method is applied to problems for which exact solutions are available to evaluate its effectiveness. The accuracy of the method is demonstrated for problems with load discontinuities and continuous beam problems. A Petrov-Galerkin implementation of the method is shown to greatly reduce computational time and effort and is thus preferable over the previously developed Galerkin approach. The MLPG method for beam problems yields very accurate deflections and slopes and continuous moment and shear forces without the need for elaborate post-processing techniques. |
| File Size | 4210163 |
| Page Count | 164 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_20020083064 |
| Archival Resource Key | ark:/13960/t7jq5xj81 |
| Language | English |
| Publisher Date | 2002-09-01 |
| Access Restriction | Open |
| Subject Keyword | Structural Mechanics Finite Element Method Interpolation Discontinuity Least Squares Method Euler-bernoulli Beams Spline Functions Bending Mathematical Models Galerkin Method Loads Forces 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 |
