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A CLUSTER SERIES EXPANSION TECHNIQUE FOR SOLVING VIBRATION PROBLEMS

✍ Scribed by P. ŽITŇAN

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
266 KB
Volume
243
Category
Article
ISSN
0022-460X

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✦ Synopsis

A cluster series expansion technique for spectral solution of vibration problems is presented. In this technique the eigenfunction approximations are composed of clusters of single basis functions instead of the classical Fourier series of single basis functions. To realize the cluster expansion an alternating "xed-free subspace strategy is used to improve the coe$cients of the single basis functions inside the clusters. This strategy generates a family of m-step iterative algorithms solving large dense matrix eigenproblem of order m.n as a few dense matrix eigenproblems of order n#(m!1)l, where l denotes the number of computed eigenvalues. The computational behaviour of the proposed m-step algorithms is investigated by solving matrix eigenproblems up to the order 3600 by using the m-step algorithms for m"2, 3, 4, 5.

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