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NUMERICAL STUDY OF FLUID-STRUCTURE
INTERACTION IN CONCRETE GRAVITY DAMS
Lamb&, B.M.; Pereira&, P.H.Z.; Azevedo@, R.L.
& Undergraduate student, Western Paraná State University
@ Professor, Dr., Western Paraná State University
[email protected] (Corresponding author)
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PRESENTATION TOPICS
• Company Overview (2-3 minutes);
• Problem Description;
• Methodology;
• Objectives;
• Conclusion and future steps.
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Center for Advanced Studies on Safety of Dams
(CEASB )
• Leveraging the expertise of Itaipu - the world's largest
hydroelectric power generation - and the technological
environment and innovative Itaipu Technology Park (PTI),
was established 2008, the Center for Advanced Studies
on Safety of Dams (CEASB), a partnership between the
Itaipu Dam, through the Corporate University Itaipu (UCI),
the Foundation Technology Park Itaipu - Brazil (FPTI-BR)
and Western Paraná State University at Foz do Iguaçu
(Unioeste).
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Center for Advanced Studies on Safety of Dams
(CEASB )
• The CEASB has a technology platform with potential for
development of the strategic solutions in dam safety. The
applied research projects are consistent with the process
of upgrading the plant and the program of R & D of Itaipu,
in addition to contributing to the mission of PTI promote
the development of relevant scientific-technical Trinational
Region.
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WESTERN PARANÁ STATE UNIVERSITY –
UNIOESTE AT CASCAVEL/PR• The Western Paraná State University - UNIOESTE
originated by the integration of four municipal colleges,
being recognized in December 23, 1994.
• UNIOESTE has currently about 10,000 students (in 34
undergraduate/32 graduate programs). In the latest
assessment of MEC/INEP, it figures as the 13th best
university in Brazil.
source: http://www.unioeste.br/reitoria/
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PROBLEM DESCRIPTION
• In this work some preliminary results of a 2D FE analysis of a
reservoir- gravity dam system by using Ansys Release 12.0.1
are presented;
• The structure (gravity dam) is assumed to be elastic and
analyzed by plane strain formulation;
• The water contained in the reservoir is considered a weakly
compressible, inviscid fluid. So far, reservoir bottom
absorption effects are neglected.
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PROBLEM DESCRIPTION (cont.)
• An implicit time-domain analysis is performed. External
excitation: ground acceleration due to El Centro earthquake
(1940);
• Infinite fluid-domain is modelled into a finite one using a
truncation boundary condition.
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A TYPICAL RESERVOIR-DAM SYSTEM AND
ITS LOADING
GROUND MOVEMENT
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ANALYSIS OF COUPLED DAM-RESERVOIR
SYSTEM
• Westergaard (1933) => 'classical', added-mass approach:
incompressibility of water / rigidity of structure.
• Simplified approaches: first assume the dam to be rigid:
the resulting pressure field is imposed on the dam to
obtain the structural response;
• Coupled field aproaches: solution of the coupled system
is done by solving the two systems separately with the
interaction effects enforced in a iterative fashion.
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METHODOLOGY
• The solid dam is discretized by using finite elements
(PLANE42);
• Loadings considered: hidrostatic pressure + hidrodynamic
pressure given by Westergaard formulation;
• Proportional (Rayleigh) damping is adopted;
• Implicit time marching scheme, unconditionally stable.
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OBJECTIVES
• To simulate numerically the effect of the ground
movement on a concrete gravity dam through a simplified
treatment of the dynamic coupled system dam-reservoir.
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NUMERICAL EXAMPLE SELECTED
• Koyna dam subjected to NS component of El Centro
earthquake (1940) (pseudo-dynamic analysis).
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NUMERICAL SIMULATION: EXTERNAL
EXCITATION
NS COMPONENT - EL CENTRO EARTHQUAKE (1940)
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NUMERICAL SIMULATION
FINITE ELEMENT MESH (COARSE)
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DE
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RM
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CONCLUSION AND FUTURE STEPS
• Preliminary results obtained so far seems to be adequated,
at least from a qualitative point of view;
• Some mesh convergence studies are needed to allow a
better comparison with reference results, published in the
literature. These studies are in progress nowadays.
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NEXT FE MODEL TO BE ANALYZED (MORE REFINED)
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ACKNOWLEDGEMENTS
The authors are thankful to the financial and technical support
provided by CEASB/Itaipu during the execution of this work.
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Thank you for your attention !