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Bending of orthotropic rectangular middle thick plate on elastic half-space foundation(PDF)

长安大学学报（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2012年02期
Page:
87-90
Research Field:
Publishing date:

Info

Title:
Bending of orthotropic rectangular middle thick plate on elastic half-space foundation
Author(s):
WANG Chun-ling1; 2;  WANG Ai-qin3;  WU Yan-hong1
1. School of Science, Xi'an University of Architecture and Technology, Xi'an 710055, Shaanxi, China; 2. Shaanxi Technical Engineering Institute of Recycling Economy, Xi'an 710055, Shaanxi, China; 3. School of Science, Chang' an University, Xi'an 710064, Shaanxi, China
Keywords:
structural engineering;  elastic half-space foundation;  orthotropic rectangular middle thick plate;  bending;  analytic solution
PACS:
TU311; O342
DOI:
-
Abstract:
The bending equation of orthotropic rectangular middle thick plate with four free edges was combined with the equation of deformation compliance of the plate and the foundation based on the integral solution of the elastic half-space foundation loaded with arbitrary vertical lead force. An analytical solution was gained to the problem of the bending of the orthotropic rectangular middle thick plate with four free edges on the semi-infinite elastic foundation by using the trigonometric series, the analytical representations of the reactive force of the ground, the deflection and the inner force of the plate were obtained. The results show that the method not only overcomes some defects involved in traditional numerical methods, but also avoids the assumption of Winkler foundation model or two-parameter foundation model. The distributions law of the inner forces in the plate and the contact pressure are more reasonable and accurate. 1 tab, 4 figs, 11 refs.

References:

[1] Mandal J J,Ghosh D P.Prediction of elastic settlement of rectangular raft foundation:a coupled FE-BE approach[J].International Journal for Numerical and Analytical Methods in Geomechanics,1999,23(3):263-273.
[2]陈树坚,彭育池.多种地基假定下弹性基础板的样条有限元计算[J].中山大学学报:自然科学版,1980,19(2):15-23. CHEN Shu-jian,PENG Yu-chi.On spline finite element computation of plates on elastic foundations for various base-models[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,1980,19(2):15-23.
[3]王元汉,邱先敏,张佑启.弹性地基板的等参有限元法计算[J].岩土工程学报,1998,20(4):7-11. WANG Yuan-han,QIU Xian-min,ZHANG You-qi.Plates on an elastic foundation calculated by isoparametric element methods[J].Chinese Journal of Geotechnical Engineering,1998,20(4):7-11.
[4]凌道盛,陈云敏,丁皓江.任意基础板的有限元分析[J].岩土工程学报,2000,22(4):451-455. LING Dao-sheng,CHEN Yun-min,DING Hao-jiang.Finite element analysis of arbitrary plates on ground[J].Chinese Journal of Geotechnical Engineering,2000,22(4):451-455.
[5]张伟星,庞 辉.无单元法分析弹性地基板[J].力学与实践,2000,22(3):38-41. ZHANG Wei-xing,PANG Hui.Analysis of plates on the elastic foundation by the element-free method[J].Mechanics and Engineering,2000,22(3):38-41.
[6]王明贵,黄 义.弹性半空间地基上的矩形板[J].应用力学学报,1994,11(4):120-126. WANG Ming-gui,HUANG Yi.The rectangular plates on elastic half-space foundation[J].Chinese Journal of Applied Mechanics,1994,11(4):120-126.
[7]Wang C M,Chow Y K,How Y C.Analysis of rectangular thick rafts on an elastic half-space[J].Computers and Geotechnics,2001,28:161-184.
[8]李 萍 沈惠申.弹性半空间地基上预应力中厚矩形板的弯曲[J].应用力学学报,2007,24(3):416-420. LI Ping,SHEN Hui-shen.Bending of middle-thickness initially stressed rectangular plate on elastic half-space foundation[J].Chinese Journal of Applied Mechanics,2007,24(3):416-420.
[9]王春玲,黄 义.弹性半空间地基上四边自由矩形板的弯曲解析解[J].岩土工程学报, 2005,27(12):1402-1407. WANG Chun-ling,HUANG Yi.Analytic solution of rectangular plates loaded with vertical force on an elastic half space[J].Chinese Jounal of Geotechnical Engineering,2005,27(12):1402-1407.
[10]王春玲,周 亮.弹性半空间地基上正交异性矩形板弯曲通解[J].力学季刊, 2010,31(2):227-235. WANG Chun-ling,ZHOU Liang.General solution of orthotropic rectangular plate under vertical force on semi-infinite elastic foundation[J].Chinese Quarterly of Mechanics,2010,31(2):227-235.
[11]费新华.弹性地基上四边自由正交异性矩形中厚板的弯曲[D].西安:西安建筑科技大学,2005.

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Last Update: 2012-04-30