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Use of a Lanczos algorithm in dynamic analysis of structures
Author(s) -
Smith I. M.,
Heshmati E. E.
Publication year - 1983
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.4290110410
Subject(s) - lanczos resampling , lanczos algorithm , algorithm , vibration , reduction (mathematics) , factorization , mathematics , matrix (chemical analysis) , stiffness , computer science , structural engineering , engineering , eigenvalues and eigenvectors , physics , geometry , materials science , acoustics , quantum mechanics , composite material
In this paper the Choleski factorization of the mass or the stiffness matrix and its use in reduction of the general free vibration equation to a standard eigenproblem prior to the application of the Lanczos method is described, and their effects on the necessary computing time in determination of the frequencies are discussed.