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Evaluating foundation mass, damping and stiffness by the least‐squares method
Author(s) -
Ju S. H.
Publication year - 2003
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.285
Subject(s) - stiffness , finite element method , least squares function approximation , structural engineering , sine , foundation (evidence) , mathematics , harmonic , stiffness matrix , direct stiffness method , sine wave , engineering , mathematical analysis , geometry , physics , acoustics , statistics , voltage , archaeology , estimator , history , electrical engineering
This paper discusses how to use the three‐dimensional (3D) time‐domain finite‐element method incorporating the least‐squares method to calculate the equivalent foundation mass, damping and stiffness matrices. Numerical simulations indicate that the accuracy of these equivalent matrices is acceptable when the applied harmonic force of 1+sine is used. Moreover, the accuracy of the least‐squares method using the 1+sine force is not sensitive to the first time step for inclusion of data. Since the finite‐element method can model problems flexibly, the equivalent mass, damping and stiffness matrices of very complicated soil profiles and foundations can be established without difficulty using this least‐squares method. Copyright © 2003 John Wiley & Sons, Ltd.