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HIGHER-ORDER MAC FOR THE CORRELATION OF CLOSE AND MULTIPLE MODES

✍ Scribed by W. D'AMBROGIO; A. FREGOLENT

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 331 KB
Volume: 17
Category: Article
ISSN: 0888-3270
DOI: 10.1006/mssp.2002.1468

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✦ Synopsis

In this paper, an extension of Modal Assurance Criterion (MAC) is proposed. It considers the correlation between a modal vector and a subspace spanned by several modal vectors, instead of the usual correlation between two modal vectors. Such higher-order MAC provides additional insight whenever multiple or close eigenvalues exist. In principle, any number of modal vectors can be considered to span the subspace. A closed-form expression is derived for the correlation of a modal vector with a two-dimensional subspace, referred to as S2MAC (subspace of order 2 Modal Assurance Criterion). This allows a better understanding in situations involving double eigenvalues or pairs of close natural frequencies, as highlighted by the discussed test cases.

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