Yun Tianquan. Analysis of Sloping Elastic Pile Under Arbitrary Loads by Line-Loaded Integral Equation Method[J]. Applied Mathematics and Mechanics, 1999, 20(4): 351-357.
Citation: Yun Tianquan. Analysis of Sloping Elastic Pile Under Arbitrary Loads by Line-Loaded Integral Equation Method[J]. Applied Mathematics and Mechanics, 1999, 20(4): 351-357.

Analysis of Sloping Elastic Pile Under Arbitrary Loads by Line-Loaded Integral Equation Method

  • Received Date: 1997-12-19
  • Rev Recd Date: 1998-09-16
  • Publish Date: 1999-04-15
  • For analysis of displacement and stress,an elastic sloping pile embedded in a homogeneous isotropic elastic half space under arbitrary loads at the top can be decomposed into two plane systems,i.e.,the inclined plane xOz and its normal plane yOz.Let Mindlin's forces be the fundamental loads with unknown intensity function X(t),Y(t),Z(t),parallel to x,y,z-axis respectively,be distributed along the t axis of the pile in and concentrated forces Qx,Qy,Z,couples My,Mx at top of the pile.Then,according to the boundary conditions of elastic pile,the problem is reduced to a set of Fredholm-Volterra type equations.Numerical solution is given and the accuracy of calculation can be checked by the reciprocal theorem of work.
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