In this paper an extension of Modal Assurance Criterion (MAC) is presented. 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 used for the correlation of a modal vector with a 2-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.
Correlation of close modes using S2MAC / W., D'Ambrogio; Fregolent, Annalisa. - STAMPA. - 1-5:(2002), pp. 1077-1085. (Intervento presentato al convegno Proceedings of the 2002 International Conference on Noise and Vibration Engineering, ISMA tenutosi a Leuven nel 16 September 2002 through 18 September 2002).
Correlation of close modes using S2MAC
FREGOLENT, Annalisa
2002
Abstract
In this paper an extension of Modal Assurance Criterion (MAC) is presented. 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 used for the correlation of a modal vector with a 2-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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
