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Two‐dimensional dynamic analysis of concrete gravity and embankment dams including hydrodynamic effects
Author(s) -
Hall John F.,
Chopra Anil K.
Publication year - 1982
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290100211
Subject(s) - discretization , compressibility , gravity dam , finite element method , geology , mechanics , boundary (topology) , foundation (evidence) , domain (mathematical analysis) , geotechnical engineering , boundary value problem , structural engineering , engineering , mathematics , mathematical analysis , physics , archaeology , history
Abstract An analysis procedure in the frequency domain is developed for determining the earthquake response of two‐dimensional concrete gravity and embankment dams including hydrodynamic effects; responses of the elastic dams and compressible water are assumed linear. The dam and fluid domain are treated as substructures and modelled with finite elements. The only geometric restriction is that an infinite fluid domain must maintain a constant depth beyond some point in the upstream direction. For such an infinite uniform region, a finite element discretization over the depth is combined with a continuum representation in the upstream direction. The fluid domain model approximately accounts for interaction between the fluid and underlying foundation medium through a damping boundary condition applied along the reservoir bottom, while the dam foundation is assumed rigid. Several examples are presented to demonstrate the accuracy of the fluid domain model and to illustrate dam responses obtained from the analysis procedure.