Andrej Štrukelj (Author), Tomaž Pliberšek (Author), Andrej Umek (Author)

Abstract

The topic of this paper is to show that the integrals of infinite extent representing the surface displacements of a layered half-space loaded by a harmonic, vertical point load can be reduced to integrals with finite integration range. The displacements are first expressed through wave potentials and the Hankel integral transform in the radial coordinate is applied to the governing equations and boundary conditions, leading to the solutions in the transformed domain. After the application of the inverse Hankel transform it is shown that the inversion integrands are symmetric/antimetric in the transformation parameter and that this characteristic is preserved for any number of layers. Based on this fact the infinite inversion integrals are reduced to integrals with finite range by choosing the suitable representation of the Bessel function and use of the fundamental rules of contour integration, permitting simpler analytical or numerical evaluation. A numerical example is presented and the results are compared to those obtained by the CLASSI program.

Keywords

gradbeništvo;mehanika tal;Greenova funkcija;slojevit polprostor;civil engineering;soil mechanics;Green`s function;layered half-space;vertical point load;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UM FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
UDC: 624.131:531/533
COBISS: 10616086 Link will open in a new window
ISSN: 0939-1533
Views: 1890
Downloads: 24
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Other data

Secondary language: English
Secondary keywords: gradbeništvo;mehanika tal;Greenova funkcija;slojevit polprostor;
URN: URN:SI:UM:
Pages: str. 465-479
Volume: ǂVol. ǂ76
Issue: ǂno. ǂ7/8
Chronology: Dec. 2006
ID: 8717107