A LOCAL RADIAL POINT INTERPOLATION METHOD (LRPIM) FOR FREE VIBRATION ANALYSES OF 2-D SOLIDS
✍ Scribed by G.R. LIU; Y.T. GU
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 399 KB
- Volume
- 246
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
A local radial point interpolation method (LRPIM) is presented to deal with boundary-value problems for free vibration analyses of two-dimensional solids. Local weak forms are developed using weighted residual method locally from the partial di!erential equation of free vibration. A technique to construct shape functions using radial function basis is proposed. The shape functions so formulated possess delta function property. Essential boundary conditions can be implemented with ease as in the "nite-element method. Some important parameters on the performance of LRPIM are also investigated thoroughly. Numerical examples for free vibration analyses of two-dimensional solids to demonstrate the validity and e$ciency of the present LRPIM are presented.