无限长空间板在轴对称荷载作用下的位移和应力分析

运用汉克尔变换导出了无限长空间板在轴对称荷载作用下的位移和应力解答,并通过与完全位移约束下的有限深地基模型、半无限大弹性地基模型和文克尔地基模型进行比较,分析它们之间的异同.分析结果表明:当H→∞时,无论底部是光滑刚性支承约束还是完全位移约束,在法向集中力作用下得到的水平面位移结果与半空间体的布希涅斯克位移解答在水平面上的位移是一致的;当H→0时,底部是光滑刚性支承约束与底部是完全位移约束取极限得到的文克勒地基基床系数是不同的.

Displacement and stress analysis of infinite spatial plate under axial symmetric loads

By use of the Hankel transform,the displacement and stress solutions of infinite spatial plate under axial symmetric loads were obtained.Through comparison of the foundation model for finite depth under rigid constraint,the semi-finite elastic foundation model,and the Winkler foundation model for displacement and stress analysis,some conclusions are drawn: for the elastic layer with finite depth under smooth rigid supporting constraint or rigid constraint,if the depth of foundation approaches to infinite,the horizontal displacement under action of vertically concentrated forces accords with that of Boussinesq solution of semi-infinite body;if the depth of foundation approaches to zero the limit values of the bedding coefficients for the Winkler foundation model obtained under smooth rigid supporting constraint and rigid constraint are different.