Abstract
This paper considers the calculation of the sensitivity of modal assurance criteria (MAC) values of viscously damped systems. A direct method is proposed by constructing a Lagrange function whose Lagrange multiplier only needs to be calculated once for different design parameters. It is efficient in computational time and storage capacity. An extensive numerical analysis is used to show the effectiveness of the derived results. Several applications concerning the sensitivity of MAC values are discussed on the basis of the experimental data and the numerical analysis of a long beam structure with bolted joints.
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