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Discrete models for vertical vibrations of surface and embedded foundations
Author(s) -
De Barros Francisco C. P.,
Luco J. Enrique
Publication year - 1990
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.4290190211
Subject(s) - vibration , half space , boundary value problem , surface (topology) , motion (physics) , square (algebra) , space (punctuation) , damper , mathematics , foundation (evidence) , mathematical analysis , geometry , classical mechanics , structural engineering , physics , engineering , computer science , acoustics , archaeology , history , operating system
A five‐parameter discrete model that approximates the dynamic force4isplacement relationship for rigid foundations undergoing vertical vibrations on a uniform elastic half‐space is presented. The model involves a combination of two springs, two viscous dampers and a mass. Values of the parameters for circular, square and rectangular foundations placed on the surface or embedded in an elastic half‐space are listed. The parameters are obtained by minimizing the discrepancy between the force4isplacement relation for the model and that obtained by solution of the mixed boundary‐value problem of the rigid foundation on an elastic half‐space. The definition of an appropriate input motion to represent wave excitation is also discussed. The input motion to the discrete model differs from the input motion that should be used in a continuum model.