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TRANSFER FUNCTIONS FOR RIGID RECTANGULAR FOUNDATIONS
Author(s) -
VELETSOS A. S.,
PRASAD A. M.,
WU W. H.
Publication year - 1997
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/(sici)1096-9845(199701)26:1<5::aid-eqe619>3.0.co;2-x
Subject(s) - foundation (evidence) , orthotropic material , square (algebra) , transfer function , excitation , excited state , field (mathematics) , function (biology) , physics , mechanics , classical mechanics , mathematical analysis , mathematics , geometry , structural engineering , engineering , quantum mechanics , finite element method , electrical engineering , archaeology , evolutionary biology , biology , pure mathematics , history
Closed‐form expressions and comprehensive numerical solutions are presented for the transfer functions of surface‐supported, rigid, rectangular foundations excited by horizontally polarized, incoherent shear waves for which the motions are parallel to one of the foundation sides. The free‐field ground motion is specified stochastically in terms of a local power spectral density function and an orthotropic incoherence function which decays exponentially with the square of the excitation frequency and the separation distance. The response quantities examined include the lateral and torsional components of the foundation motion. Displayed graphically, the results elucidate the effects and relative importance of the numerous parameters involved. For vertically incident incoherent wave fields, the lateral transfer function of a rectangular foundation is related to that of a judiciously selected square foundation, and the interrelationship of the results is examined. © 1997 by John Wiley & Sons, Ltd.