An alternative domain/boundary element technique for analyzing plates on two-parameter elastic foundations

被引:18
作者
Chucheepsakul, S [1 ]
Chinnaboon, B [1 ]
机构
[1] King Mongkuts Univ Technol Thonburi, Dept Civil Engn, Bangkok 10140, Thailand
关键词
boundary element method; plates; two-parameter elastic foundations; domain integrals; cubic elements;
D O I
10.1016/S0955-7997(02)00007-3
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper presents an alternative domain/boundary element technique for analyzing plates on two-parameter elastic foundations, in which the fundamental solution for the linear plate theory is used in the formulation. The main advantages of using this technique are that the kernels of the boundary integral equations are conveniently established and can be used for solving plate problems with various boundary conditions as well as mixed boundary conditions. The surface integration of the kernels for the foundation pressure is evaluated using a numerical procedure presented herein instead of the conventional Gauss-Legendre method, resulting in the reduction of computing time. The application of higher-order elements, i.e. cubic elements, for improving the solution is adopted. Numerical results of several problems with various boundary conditions are given to demonstrate the accuracy and validity of the method. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:547 / 555
页数:9
相关论文
共 17 条
[1]   THE BOUNDARY INTEGRAL-EQUATION METHOD FOR PLATES RESTING ON A 2-PARAMETER FOUNDATION [J].
BALAS, J ;
SLADEK, V ;
SLADEK, J .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1984, 64 (03) :137-146
[2]  
BENZINE G, 1988, INT J SOLIDS STRUCT, V24, P557
[3]   THE BOUNDARY ELEMENT METHOD APPLIED TO PLATES ON ELASTIC FOUNDATIONS [J].
COSTA, JA ;
BREBBIA, CA .
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1985, 2 (04) :174-183
[4]   ON THE REDUCTION OF DOMAIN INTEGRALS TO THE BOUNDARY FOR THE BEM FORMULATION OF PLATES ON ELASTIC FOUNDATION. [J].
Costa, J.A.Jr ;
Brebbia, C.A. .
Engineering Analysis, 1986, 3 (02) :123-126
[5]   A NEW FUNDAMENTAL SOLUTION FOR BOUNDARY-ELEMENT ANALYSIS OF THIN PLATES ON WINKLER FOUNDATION [J].
ELZAFRANY, A ;
FADHIL, S ;
ALHOSANI, K .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1995, 38 (06) :887-903
[6]  
Kane J.H., 1994, BOUNDARY ELEMENT ANA
[7]   NONLINEAR-ANALYSIS OF PLATES BY THE ANALOG EQUATION METHOD [J].
KATSIKADELIS, JT ;
NERANTZAKI, MS .
COMPUTATIONAL MECHANICS, 1994, 14 (02) :154-164
[8]   PLATES ON ELASTIC-FOUNDATION BY BIE METHOD [J].
KATSIKADELIS, JT ;
ARMENAKAS, AE .
JOURNAL OF ENGINEERING MECHANICS-ASCE, 1984, 110 (07) :1086-1105
[9]   PLATES ON BIPARAMETRIC ELASTIC-FOUNDATION BY BDIE METHOD [J].
KATSIKADELIS, JT ;
KALLIVOKAS, LF .
JOURNAL OF ENGINEERING MECHANICS, 1988, 114 (05) :847-875
[10]   ANALYSIS OF CLAMPED PLATES ON ELASTIC-FOUNDATION BY THE BOUNDARY INTEGRAL-EQUATION METHOD [J].
KATSIKADELIS, JT ;
ARMENAKAS, AE .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1984, 51 (03) :574-580