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

Yun Tianquan

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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.

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.

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

Yun Tianquan

Department of Mechanics, South China University of Technology, Guangzhou 510641, P R China

Received Date: 1997-12-19
Rev Recd Date: 1998-09-16
Publish Date: 1999-04-15

Abstract

Abstract

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 Q_x,Q_y,Z,couples M_y,M_x 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.
- line-loaded integral equation method,
- reciprocal theorem of work,
- sloping elastic pile

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References(12)

References

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