Bending of the orthotropic rectangular middle thick plate on the transversely isotropic elastic half space ground
Received:June 19, 2010  Revised:January 07, 2012
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DOI:10.7511/jslx20123020
KeyWord:transversely isotropic  elastic half space ground  orthotropic rectangular middle thick plate  interaction  bending  analytic solution
        
AuthorInstitution
王春玲 西安建筑科技大学 理学院, 西安 ;陕西循环经济工程技术院, 西安
周亮 陕西循环经济工程技术院, 西安
李华 西安建筑科技大学 理学院, 西安
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Abstract:
      The integral solution is obtained to the problem of transversely isotropic elastic half space ground under arbitrary vertical load by using a double Fourier transform in Cartesian coordinates.On the basis of the integral solution,the equation of deformation compliance of the plate and the ground is established,and combining with the control equation of the orthotropic rectangular middle thick plate with four free edges on the ground,by the trigonometric series,an analytical solution obtained for to the problem of the bending of the orthotropic rectangular middle thick plate with four free edges on the transversely isotropic elastic half space ground.I.e.,the analytical representations of the reactive force of the ground,the deflection and the inner force of the plate are obtained.At last some computational examples are presented and the results are coincided with those in literatures.The method in this paper will be important in practical applications.