A Differential Reproducing Kernel Particle Method for the Structural Behaviors of Beams and Plates
碩士 === 國立成功大學 === 土木工程學系碩博士班 === 96 === A differential reproducing kernel particle (DRKP) method is developed for solving partial differential equations governing a certain physical problem. A novel idea is proposed for determining the shape functions for derivatives of the reproducing kernel (RK) a...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2008
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| Online Access: | http://ndltd.ncl.edu.tw/handle/96165704957988354672 |
| Summary: | 碩士 === 國立成功大學 === 土木工程學系碩博士班 === 96 === A differential reproducing kernel particle (DRKP) method is developed for solving partial differential equations governing a certain physical problem. A novel idea is proposed for determining the shape functions for derivatives of the reproducing kernel (RK) approximants. Contrary to the manipulation in the reproducing kernel particle (RKP) method where the differential operation toward the shape functions of the RK approximants is directly taken, we construct a set of differential reproducing conditions to determine the shape functions for the derivatives of RK approximants. A point collocation approach based on the present DRKP approximations for multi-dimensional problems is formulated. It is shown from the illustrative examples that the present method indeed is a fully meshless approach with excellent accuracy and fast rate of convergence.
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