A hybrid boundary node method for the bending of plates on elastic foundation

被引:0
作者
机构
[1] State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences
来源
Tan, F. (ftan@whrsm.ac.cn) | 1600年 / Tsinghua University卷 / 30期
关键词
Dual reciprocity; Hybrid boundary node method; Meshless method; Thin plate bending; Two-parameter elastic foundation;
D O I
10.6052/j.issn.1000-4750.2011.12.0861
中图分类号
学科分类号
摘要
Based on two-parameter elastic foundation model, the dual reciprocity method (DRM) and the hybrid boundary node method (HBNM) are combined for solving bending problems of a thin plate on elastic foundation. The subgrade reaction, as well as the transverse load, is treated as the non-homogeneous term, and the particular solution is approximated by using radial basis function (RBF), while the complementary one is obtained by means of HBNM. No meshes are needed either for variables interpolation or for energy integration. Several nodes in the domain are needed just for RBF interpolation. Therefore, the present method is still a boundary type meshless method. Several examples given in this paper have shown that, in solving the bending problems of thin plates resting on elastic foundation, the present method has high accuracy and convergence.
引用
收藏
页码:35 / 41
页数:6
相关论文
共 20 条
[1]  
Kamal K., Durvasula S., Bending of circular plate on elastic foundation, Journal of Engineering Mechanics, 109, 5, pp. 1293-1298, (1983)
[2]  
Zhou Y.H., Zhang J.P., Zheng X.J., Bending of sector plates on elastic foundations by Bessel function, Journal of Engineering Mechanics, 126, 6, pp. 653-655, (2000)
[3]  
Zhong Y., Zhou F., Zhang Y., Vibration analysis of a thin plate on Winkler foundation with completely free boundary by Kantorovich method, Journal of Vibration and Shock, 26, 3, (2007)
[4]  
Yang T.Y., A finite element analysis of plates on a two parameter foundation model, Computers & Structures, 2, 4, pp. 593-614, (1972)
[5]  
Wang Y., Qiu X., Cheung Y.K., Plates on an elastic foundation calculated by isoparametric element methods, Chinese Journal of Geotechnical Engineering, 20, 4, pp. 7-11, (1998)
[6]  
Xie H., Wang Y., Dynamic analysis of elastic plate resting on two-parameter foundation, Rock and Soil Mechanics, 28, SUPPL., pp. 753-758, (2007)
[7]  
Puttonen J., Varpasuo P., Boundary element analysis of a plate on elastic foundation, International Journal for Numerical Methods in Engineering, 23, 2, pp. 287-303, (1986)
[8]  
Wang J., Huang M., Boundary element analysis of thin plates on the two-parameter elastic foundation, China Civil Engineering Journal, 25, 3, pp. 51-59, (1992)
[9]  
Moraru G., BEM based on discontinuous solutions in the theory of Kirchhoff plates on an elastic foundation, Engineering Analysis with Boundary Elements, 30, pp. 382-390, (2006)
[10]  
Zhang W., Pang H., The element-free method for the bending problem of plates on elastic foundation, Engineering Mechanics, 17, 3, pp. 138-144, (2000)