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- Title
The complex variable reproducing kernel particle method for the analysis of Kirchhoff plates.
- Authors
Chen, L.; Cheng, Y.; Ma, H.
- Abstract
In this paper, the complex variable reproducing kernel particle method (CVRKPM) for the bending problem of arbitrary Kirchhoff plates is presented. The advantage of the CVRKPM is that the shape function of a two-dimensional problem is obtained one-dimensional basis function. The CVRKPM is used to form the approximation function of the deflection of a Kirchhoff plate, the Galerkin weak form of the bending problem of Kirchhoff plates is adopted to obtain the discretized system equations, and the penalty method is employed to enforce the essential boundary conditions, then the corresponding formulae of the CVRKPM for the bending problem of Kirchhoff plates are presented in detail. Several numerical examples of Kirchhoff plates with different geometry and loads are given to demonstrate that the CVRKPM in this paper has higher computational precision and efficiency than the reproducing kernel particle method under the same node distribution. And the influences of the basis function, weight function, scaling factor, node distribution and penalty factor on the computational precision of the CVRKPM in this paper are discussed.
- Subjects
COMPLEX variables; REPRODUCING kernel (Mathematics); PARTICLE methods (Numerical analysis); TWO-dimensional models; APPROXIMATION theory
- Publication
Computational Mechanics, 2015, Vol 55, Issue 3, p591
- ISSN
0178-7675
- Publication type
Article
- DOI
10.1007/s00466-015-1125-6