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This and the next 2 images are from:
R.A. Izadifard and M.R. Maheri (Department of Civil Engineering, Shiraz University, Iran),
“Soil-structure interaction effects in buried cylindrical concrete structures”, Proceedings of the Tenth International Conference on Civil, Structural and Environmental Engineering Computing, B.H.V. Topping (Editor), Civil-Comp Press, Stirling, Scotland, Paper No. 271, January 2005
ABSTRACT: To design an underground structure against the earthquake or blast loading, the dynamic properties of such structures are often first established. In this paper, a finite element parametric dynamic analysis of the structure-soil system is carried out. The structures considered are cylindrical concrete structures and the main variable parameters include: the radius of the cylindrical structure (R), the ratio of the horizontal extent of the soil to the radius of the structure (L/R), the radius of the vertical extent of underlying soil to the radius of the structure (H/R) and the ratio of depth of burial to the radius of the structure (D/R). It is shown that the conventional added-mass approach greatly overestimates the natural frequencies of the soil-structure system, and the level of overestimation is more profound for the shallow-buried structures. For the deep-buried structures the added-mass of soil dominates the response and the effect of the added-stiffness is reduced. Also it is found that the discrepancies in the results of the added-mass solution and the FE solution increase as the structure becomes more flexible.
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