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Short communication block lanczos method for dynamic analysis of structures
Author(s) -
NourOmid Bahram,
Clough Ray W.
Publication year - 1985
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.4290130210
Subject(s) - lanczos resampling , dynamic equation , lanczos algorithm , block (permutation group theory) , algorithm , simple (philosophy) , mathematics , set (abstract data type) , equations of motion , computer science , control theory (sociology) , mathematical optimization , geometry , physics , eigenvalues and eigenvectors , nonlinear system , classical mechanics , artificial intelligence , control (management) , philosophy , epistemology , quantum mechanics , programming language
The simple Lanczos method presented in a recent paper by the writers, with application to single vector loads, is extended to include a more general dynamic loading represented as a linear combination of k vectors (load patterns). The result is a set of orthogonal vectors that is used to transform the equations of motion to a banded form, the half‐bandwidth of which becomes k + 1. When k is small relative to the number of equations, this approach provides for a very efficient time‐stepping solution.
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