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Numerical integration during Fourier integral analysis
Author(s) -
Brachman R. W. I.,
Moore I. D.
Publication year - 1999
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/(sici)1096-9853(199910)23:12<1309::aid-nag998>3.0.co;2-7
Subject(s) - fourier analysis , numerical integration , fourier transform , mathematics , geology , calculus (dental) , mathematical analysis , medicine , dentistry
Numerical integration required during Fourier integral analysis is discussed. For the case of a long and prismatic elastic medium subject to three‐dimensional loads applied at the surface (e.g. live load response of buried structures), the complexity of inverse integrals depends on the relative magnitude of the load width and the distance from the load in the longitudinal direction, as well as the longitudinal spacing of the loads. The inverse integrand of the applied surface loading is more difficult to evaluate compared to those for stresses and displacements. Selection of integration schemes based on successful inversion of the applied load provides accurate solutions of stress and displacement throughout the elastic body. The use of superposition when considering complex loading cases is beneficial. Copyright © 1999 John Wiley & Sons, Ltd.