Evaluation of Green`s function for vertical point-load excitation applied to the surface of a semi-infinite elastic medium /
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 a...
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| Main Authors: | , , |
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| Format: | Book Chapter |
| Jezik: | English |
| Teme: | |
| Online dostop: | http://dx.doi.org/10.1007/s00419-006-0049-1 |
| Sorodne knjige/članki: | Vsebovano v:
Archive of applied mechanics |
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| LEADER | 02058naa a2200217 ib4500 | ||
|---|---|---|---|
| 001 | 10616086 | ||
| 003 | SI-MaCOB | ||
| 005 | 20061127000000.0 | ||
| 008 | 060823s2006 gw |||||||||||||| ||eng c | ||
| 040 | |a KTFMB |b slv |c SI-MaIIZ |d KTFMB |e ppiak | ||
| 080 | |a 531/533 | ||
| 100 | 1 | |a Štrukelj, Andrej, |d 1962- |4 aut | |
| 245 | 0 | 0 | |a Evaluation of Green`s function for vertical point-load excitation applied to the surface of a semi-infinite elastic medium / |c Andrej Strukelj, Tomaz Plibersek, Andrej Umek. |
| 300 | |a str. 465-479. | ||
| 520 | |a 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. | ||
| 653 | 0 | |a gradbeništvo |a mehanika tal |a Greenova funkcija |a slojevit polprostor | |
| 653 | 0 | |a civil engineering |a soil mechanics |a Green`s function |a layered half-space |a vertical point load | |
| 700 | 1 | 2 | |a Pliberšek, Tomaž, |d 1969- |4 aut |
| 700 | 1 | 2 | |a Umek, Andrej, |d 1938- |4 aut |
| 773 | 0 | |t Archive of applied mechanics |d Berlin : Springer Verlag, 1991- |x 0939-1533 |g Vol. 76, no. 7/8 (Dec. 2006), str. 465-479 | |
| 856 | 4 | 1 | |u http://dx.doi.org/10.1007/s00419-006-0049-1 |