A Meshless Hybrid Boundary Node Method for Kirchhoff Plate Bending Problems
文献类型：期刊论文
| 作者 | Tan, F.1; Zhang, Y. L.1; Wang, Y. H.2; Miao, Y.2 |
| 刊名 | CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
 |
| 出版日期 | 2011 |
| 卷号 | 75期号:1页码:1-31 |
| 关键词 | Meshless method Hybrid boundary node method Dual reciprocity method Plate bending Kirchhoff Plate |
| ISSN号 | 1526-1492 |
| 英文摘要 | The meshless hybrid boundary node method (HBNM) for solving the bending problem of the Kirchhoff thin plate is presented and discussed in the present paper. In this method, the solution is divided into two parts, i.e. the complementary solution and the particular solution. The particular solution is approximated by the radial basis function (RBF) via dual reciprocity method (DRM), while the complementary one is solved by means of HBNM. The discrete equations of HBNM are obtained from a variational principle using a modified hybrid functional, in which the independent variables are the generalized displacements and generalized tractions on the boundary and the lateral deflection in the domain. The moving least squares (MLS) method is employed to approximate the boundary variables whereas the domain variables are interpolated by a linear combination of fundamental solutions of both the biharmonic equation and Laplace's equation. The present method is a truly boundary type meshless one as it does not require the 'boundary element mesh', either for the purpose of interpolation of the variables or for the integration of 'energy'. Several numerical examples are presented to illustrate the implementation and performance of the present method. It is shown that high accuracy can he achieved with a small node number for clamped and simply supported edge conditions. |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000295151900001 |
| 出版者 | TECH SCIENCE PRESS |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/3287]  |
| 专题 | 岩土力学所知识全产出_期刊论文 国家重点实验室知识产出_期刊论文 |
| 作者单位 | 1.Chinese Acad Sci, State Key Lab Geomech & Geotech Engn, Inst Rock & Soil Mech ; 2.Huazhong Univ Sci & Technol, Sch Civil Engn & Mech |
| 推荐引用方式 GB/T 7714 | Tan, F.,Zhang, Y. L.,Wang, Y. H.,et al. A Meshless Hybrid Boundary Node Method for Kirchhoff Plate Bending Problems[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,2011,75(1):1-31. |
| APA | Tan, F.,Zhang, Y. L.,Wang, Y. H.,&Miao, Y..(2011).A Meshless Hybrid Boundary Node Method for Kirchhoff Plate Bending Problems.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,75(1),1-31. |
| MLA | Tan, F.,et al."A Meshless Hybrid Boundary Node Method for Kirchhoff Plate Bending Problems".CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 75.1(2011):1-31. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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