journal article Jan 01, 1988

Modal summation methods for structural dynamic computations

View at Publisher Save 10.1002/eqe.4290160103
Abstract
AbstractThe rate of convergence of the conventional mode superposition method can be significantly improved for systems subjected to relatively low frequency loadings by adding static correction terms to approximate the contribution of higher modes neglected by the use of a truncated eigenbasis. Two computational variants of the classical mode‐acceleration method are developed for that purpose. It is recommended that the pseudo‐static displacement correction vector should be computed from an expansion of the flexibility matrix in terms of the retained eigenvectors for actual computer implementation.
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References
12
[1]
Bisplinghoff R. L. (1955)
[2]
Craig R. R. (1981)
[4]
Hansteen O. E. "On the accuracy of mode superposition analysis in structural dynamics" Earthquake eng. struct. dyn. (1982)
[7]
On the application of the mode‐acceleration method to structural engineering problems

R. E. Cornwell, R. R. Craig, C. P. Johnson

Earthquake Engineering & Structural Dynamics 10.1002/eqe.4290110507
[8]
Anagnostopoulos S. A. "Wave and earthquake response of offshore structures: evaluation of modal solution" J. struct. div. ASCE (1982) 10.1061/jsdeag.0006049
[9]
R. R.Craig Jr.andC.‐J.Chang ‘On the use of attachment modes in substructure coupling for dynamic analysis’ AIAA/ASME 18th struct. struct. dyn. and materials conf. San Diego CA (1977). 10.2514/6.1977-405
[10]
Dynamic analysis by direct superposition of Ritz vectors

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

Earthquake Engineering & Structural Dynamics 10.1002/eqe.4290100606
[12]
P.Léger E. L.WilsonandR. W.Clough ‘The use of load dependent vectors for dynamic and earthquake analyses’ Report No. EERC 86–04 Earthquake Engineering Research Center University of California Berkeley CA.1986.
Metrics
38
Citations
12
References
Details
Published
Jan 01, 1988
Vol/Issue
16(1)
Pages
23-27
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Cite This Article
P. Leger, E. L. Wilson (1988). Modal summation methods for structural dynamic computations. Earthquake Engineering & Structural Dynamics, 16(1), 23-27. https://doi.org/10.1002/eqe.4290160103
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