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Contour integration and “mixed–variables–technique” applied to an infinite plate on the halfspace
Author(s) -
Trinks Carolin,
Ruge Peter
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410169
Subject(s) - displacement (psychology) , wavenumber , methods of contour integration , mathematical analysis , domain (mathematical analysis) , flexibility (engineering) , mathematics , semi infinite , geometry , physics , optics , psychology , statistics , psychotherapist
An infinite plate on the halfspace is treated as a typical soil–structure interaction problem. Based on an analytical solution in the wavenumber– and frequency domain the dynamic flexibility is obtained using contour integration. The force–displacement relationship is transformed into the time domain by means of a rational approximation technique and the fractional calculus. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)