# ANALYTICAL-NUMERICAL STUDIES OF HYDRODYNAMIC PRESSURES ON SLOPPING DAMS AND VERTICAL DAMS WITH INCLINED RESERVOIR BOTTOM

### Belo, D. O. T.; Ribeiro, P. M. V.;

Although still present in the popular imagination, the idea that the Brazilian territory is devoid of earthquakes and tradition that structures designed in this region do not require special considerations on this phenomenon are losing strength. Standards for the seismic design of structures were recently developed and reports of seismic phenomena in the country are not rare. The Brazilian seismic activity is low but not non-existent. Earthquakes of significant magnitudes have been recorded and seismic history of this region is still little known. Greater understandings of seismology, the availability of new records of earthquakes and seismic observations of the behavior of structures have shown that a strong earthquake could induce a significant dynamic amplification, capable of possible structural damage in concrete dams. The evaluation of seismic safety of dams is a growing concern, because accidents involving this type of structure have catastrophic consequences, with human and material losses. This paper provides contributions to an analytical-numerical study on the damreservoir interaction problem. The separation of variables method is employed in the closed form solution of the bidimensional Laplace equation over rectangular domains, assuming an infinite reservoir in the longitudinal direction. On a next step, having the analytical expressions as a reference, a finite difference scheme is employed in non-rectangular domains, using the commercial software Excel. These solutions are readily applied in the investigation of hydrodynamic pressures for non-vertical dam-reservoir interface as well as inclined reservoir bottom. For these particular cases, where there is no analytical solution, parametric studies were made, providing simplified expressions and design abacuses. The proposed expressions can be readily applied in practical analysis of dam-reservoir interaction problems.

Palavras-chave: Hydrodynamic Pressures, Finite Differences, Laplace Equation, Slopping Dams.,

Palavras-chave:

DOI: 10.5151/meceng-wccm2012-18024

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##### Como citar:

Belo, D. O. T.; Ribeiro, P. M. V.; "ANALYTICAL-NUMERICAL STUDIES OF HYDRODYNAMIC PRESSURES ON SLOPPING DAMS AND VERTICAL DAMS WITH INCLINED RESERVOIR BOTTOM", p. 559-576 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-18024

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