Dynamic analysis by direct superposition of Ritz vectors

Edward L. Wilson; Ming‐Wu Yuan; John M. Dickens

doi:10.1002/eqe.4290100606

journal article Nov 01, 1982

Dynamic analysis by direct superposition of Ritz vectors

Edward L. Wilson Ming‐Wu Yuan John M. Dickens

Earthquake Engineering & Structural Dynamics Vol. 10 No. 6 pp. 813-821 · Wiley

View at Publisher Save 10.1002/eqe.4290100606

Abstract

AbstractThe solution of the eigenvalue problem for large structures is often the most costly phase of a dynamic response analysis. In this paper, the need for the exact solution of this large eigenvalue problem is eliminated. A new algorithm, based on error minimization, is presented for the generation of a sequence of Ritz vectors. These orthogonal vectors are used to reduce the size of the system. Only Ritz vectors with a large participation factor are used in the subsequent mode superposition analysis. In all examples studied, the superposition of Ritz vectors yields more accurate results, with fewer vectors, than if the exact eigenvectors are used. The proposed method not only reduces computer time requirements significantly but provides an error estimation for the dynamic analysis. The approach automatically includes the advantages of the proven numerical techniques of static condensation, Guyan reduction and static correction due to higher mode truncation.

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References

5

[1]

10.2514/3.2874

[2]

J. M.DickensandE. L.Wilson ‘Numerical method for dynamic substructure analysis’ UCB/EERC‐80/20 1980.

[3]

10.1002/eqe.4290070502

[4]

G. H.Powell „Missing Mass' correction in modal analysis of piping system SMIRT conf. Berlin (1979).

[5]

R. G.SchendlerandR. H.MacNeal ‘Optimum structural representation in aeroelastic analysis’ Aeronautical Systems Division W‐PAEB Ohio U.S.A. ASD‐TR‐61‐680 1962.

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References

Details

Published: Nov 01, 1982
Vol/Issue: 10(6)
Pages: 813-821
License: View

Authors

Cite This Article

Edward L. Wilson, Ming‐Wu Yuan, John M. Dickens (1982). Dynamic analysis by direct superposition of Ritz vectors. Earthquake Engineering & Structural Dynamics, 10(6), 813-821. https://doi.org/10.1002/eqe.4290100606

Dynamic analysis by direct superposition of Ritz vectors

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