A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Rectangular footing on soil with depth-degrading stiffness: Vertical and rocking impedances under conditional existence of surface waves
Abstract The response of rectangular rigid footings resting on an elastic soil of shear modulus decreasing monotonically with depth is studied. Such profiles are typically encountered after ground improvement. The propagation characteristics of SV/P surface waves are investigated, showing the appearance of cut-off frequencies above which surface waves do not exist. The semi-analytical method of the subdivision of the footing/soil contact area is then used for solving the boundary value problem, whereby the influence functions for the sub-regions are determined by integration of the corresponding surface-to-surface Green׳s functions. Impedance functions are presented over a wide range of frequencies for typical values of the non-homogeneity parameters, the Poisson׳s ratio and the foundation geometry. The salient features that are associated with the non-homogeneity and the appearance of cut-off frequencies are elucidated.
Highlights Frequency-domain analysis of a half-space with shear modulus decreasing with depth. Appearance of cut-off frequencies for the propagation of SV/P surface waves is shown. Cut-off frequencies depend on the Poisson׳s ratio and modulus depth-profile. Impedances for footings are evaluated both for absence/presence of surface waves. Main feature is the increase in damping in the low to medium frequency range.
Rectangular footing on soil with depth-degrading stiffness: Vertical and rocking impedances under conditional existence of surface waves
Abstract The response of rectangular rigid footings resting on an elastic soil of shear modulus decreasing monotonically with depth is studied. Such profiles are typically encountered after ground improvement. The propagation characteristics of SV/P surface waves are investigated, showing the appearance of cut-off frequencies above which surface waves do not exist. The semi-analytical method of the subdivision of the footing/soil contact area is then used for solving the boundary value problem, whereby the influence functions for the sub-regions are determined by integration of the corresponding surface-to-surface Green׳s functions. Impedance functions are presented over a wide range of frequencies for typical values of the non-homogeneity parameters, the Poisson׳s ratio and the foundation geometry. The salient features that are associated with the non-homogeneity and the appearance of cut-off frequencies are elucidated.
Highlights Frequency-domain analysis of a half-space with shear modulus decreasing with depth. Appearance of cut-off frequencies for the propagation of SV/P surface waves is shown. Cut-off frequencies depend on the Poisson׳s ratio and modulus depth-profile. Impedances for footings are evaluated both for absence/presence of surface waves. Main feature is the increase in damping in the low to medium frequency range.
Rectangular footing on soil with depth-degrading stiffness: Vertical and rocking impedances under conditional existence of surface waves
Vrettos, Christos (author)
Soil Dynamics and Earthquake Engineering ; 65 ; 294-302
2014-06-13
9 pages
Article (Journal)
Electronic Resource
English
Rocking vibration of a rigid strip footing on saturated soil
| Elsevier | 2009
Rocking vibration of a rigid strip footing on saturated soil
| Online Contents | 2009
Rocking vibration of a rigid strip footing on saturated soil
| Online Contents | 2009