Modal assurance criterion for comparing two mode shapes of a multi-component structure
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United States of America Patent
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Jul 14, 2015
Grant Date -
Jan 31, 2013
app pub date -
Jul 11, 2012
filing date -
Jul 29, 2011
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Abstract
An improved Modal Assurance Criterion for comparing two mode shapes obtained from modal analysis of a multi-component structure is disclosed. In one embodiment, a first mode shape vector and second mode shape vector for a first mode shape and second mode shape of the multi-component structure, respectively, are formed by grouping modal displacement at each node associated with each component in the multi-component structure. Further, modal assurance criterion (MAC) between the first mode shape vector and second mode shape vector is computed by dividing a square of sum of magnitudes of correlation of the modal displacement at each component for the first mode shape vector and second mode shape vector in the multi-component structure with a product of squared magnitudes of the first mode shape vector and second mode shape vector. Furthermore, the first mode shape and second mode shape of the multi-component structure are compared using the MAC.
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