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Use of a Reduced System of Generalized Coordinates in a Direct-Iterative Eigensolution Technique
ISSN: 0148-7191, e-ISSN: 2688-3627
Published February 01, 1971 by SAE International in United States
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An efficient algebraic eigensolution technique is presented for the simultaneous determination of a set of the lowest frequencies and modal patterns of a structural system. The scheme utilizes a number of reduced generalized coordinates for collapsing the original eigensystem down to a much smaller size; a Stodola-Vianello iteration is employed for the convergence of the eigendata. This technique is then extended for obtaining frequencies and mode shapes in the intermediate to higher frequency ranges. A special application of this extension is given for the frequencies and mode shapes of a free-free structure. Selected examples in structural and continuum dynamics are given to illustrate this technique.
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CitationWolf, J. and Dong, S., "Use of a Reduced System of Generalized Coordinates in a Direct-Iterative Eigensolution Technique," SAE Technical Paper 710784, 1971, https://doi.org/10.4271/710784.
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