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Dynamic soil–structure interaction analysis using Lanczos vectors with adaptive time integration technique
Author(s) -
Venugopala Rao R.,
Kameswara Rao N. S. V.
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(199909)23:11<1141::aid-nag997>3.0.co;2-v
Subject(s) - lanczos resampling , discretization , transformation (genetics) , time domain , domain (mathematical analysis) , mathematics , scheme (mathematics) , mathematical optimization , algorithm , space time , lanczos algorithm , computer science , mathematical analysis , engineering , physics , biochemistry , eigenvalues and eigenvectors , chemistry , quantum mechanics , chemical engineering , computer vision , gene
An analytical procedure to obtain the response of soil–structure interaction problems, time domain is described. The procedure makes use of large domain for descritization along with co‐ordinate transformation using Lanczos vectors. The responses are obtained in time domain using an adaptive direct integration method. The scheme has the ability to estimate errors due to temporal discretization as well as co‐ordinate transformation. The procedure has been applied to half‐space problems and non‐convex domains for validation of the scheme, and the scheme obeys causality condition in both the situations. The present method has all the advantages of time domain scheme which is local both in space and time with small computational effort. Copyright © 1999 John Wiley & Sons, Ltd.