TECHNICAL NOTES
Jan 1, 1989

Modified Dynamic Condensation Method

Publication: Journal of Structural Engineering
Volume 115, Issue 1

Abstract

This note presents a method of reduction for the solution of the eigenproblem in structural dynamics using a modification of the dynamic condensation method. The proposed modification substantially reduces the number of numerical operations required in the application of the method and still provides accurate solutions for the higher modes of the system. This modification is presented after a brief discussion of the static condensation method and a review of the original dynamic condensation method.

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References

1.
Guyan, R. J. (1985). “Reduction of stiffness and mass matrices.” AIAA Journal, 3(2), 380.
2.
Kidder, R. L. (1973). “Reduction of structural frequency equations.” AIAA Journal, 11(6), 892.
3.
Kidder, R. L. (1975). “Reply by author to A. H. Flax.” AIAA Journal, 13(5), 702–703.
4.
Miller, C. A. (1980). “Dynamic reduction of structural models.” J. Struct. Div., ASCE, 106(10), 2097–2108.
5.
Miller, C. A. (1981). “Errors resulting from dynamic reduction.” Proc. of the First National Conference on Computers in Civil Engineering, 58–71.
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NASTRAN Theoretical Manual (1970). Cosmic, Univ. of Georgia, Athens, Ga.
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Paz, M. (1984). “Dynamic condensation method.” AIAA Journal, 22(5), 724–727.
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Paz, M. (1985). Structural dynamics: theory and computation. Van Nostrand Reinhold Company, New York, N.Y., 247–277.
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SUPERB (1978). Structural Dynamics Research Corporation, Cincinnati, Ohio.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 115Issue 1January 1989
Pages: 234 - 238

History

Published online: Jan 1, 1989
Published in print: Jan 1989

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Authors

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Mario Paz
Prof., Dept. of Civ. Engrg., Univ. of Louisville, Louisville, KY 40292

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