Three dimensional dynamic response of surface foundation on layered half-space

2001 ◽  
Vol 23 (11) ◽  
pp. 1427-1436 ◽  
Author(s):  
Moon Kyum Kim ◽  
Yun Mook Lim ◽  
Woo Yeon Cho
Keyword(s):  
Dynamic Response ◽  
Half Space ◽  
Three Dimensional ◽  
Surface Foundation ◽  
Layered Half Space

A Numerical Solution for Layered Solid Contact Problems With Application to Bearings

1983 ◽  
Vol 105 (4) ◽  
pp. 585-590 ◽  
Author(s):  
Y. P. Chiu ◽  
M. J. Hartnett
Keyword(s):  
Half Space ◽  
Three Dimensional ◽  
Contact Problems ◽  
Steel Rolling ◽  
Rolling Element ◽  
Method Of Solution ◽  
Rectangular Area ◽  
Layered Solid ◽  
Boussinesq Solution ◽  
Layered Half Space

Presented herein is a method of solution for three dimensional counterformal contact problems involving layered solids. Based on the generalized Boussinesq solution for a layered half space, displacement and stress coefficients are formulated for a uniformly distributed load applied over a rectangular area on the surface of a layered half space. A precise analytical solution has been developed to find the surface pressure, contact area, approach and subsurface stresses for contact of arbitrary surface shapes. Numerical results have been obtained for the indentation of a second order surface with a layered solid for the case the layer to substrate shear modulus ratio equal to 3, which simulates the contact of a steel rolling element with a steel bearing ring supported by aluminum substrate (or housing) in a transmission system.

The Vibration of Pile Groups Embedded in a Layered Poroelastic Half Space Subjected to Harmonic Axial Loads by Using Integral Equations Method

2012 ◽  
Vol 204-208 ◽  
pp. 1170-1173
Author(s):  
Chun Bo Cheng ◽  
Man Qing Xu ◽  
Bin Xu
Keyword(s):  
Dynamic Response ◽  
Layer Thickness ◽  
Integral Equations ◽  
Half Space ◽  
Pile Group ◽  
Dynamic Interaction ◽  
Fredholm Integral Equations ◽  
Pile Groups ◽  
Axial Loads ◽  
Layered Half Space

The dynamic response of a pile group embedded in a layered poroelastic half space subjected to axial harmonic loads is investigated in this study. Based on Biot's theory and utilizing Muki's method, the second kind of Fredholm integral equations describing the dynamic interaction between the layered half space and the pile group is constructed. Numerical results show that in a two-layered half space, for the closely populated pile group with a rigid cap, the upper softer layer thickness has considerably different influence on the center pile and the corner piles, while for sparsely populated pile group, it has almost the same influence on all the piles.

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