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On modal cross-coupling in the asymptotic modal limit

Publication ,  Journal Article
Culver, D; Dowell, E
Published in: Journal of Sound and Vibration
March 3, 2018

The conditions under which significant modal cross-coupling occurs in dynamical systems responding to high-frequency, broadband forcing that excites many modes is studied. The modal overlap factor plays a key role in the analysis of these systems as the modal density (the ratio of number of modes to the frequency bandwidth) becomes large. The modal overlap factor is effectively the ratio of the width of a resonant peak (the damping ratio times the resonant frequency) to the average frequency interval between resonant peaks (or rather, the inverse of the modal density). It is shown that this parameter largely determines whether substantial modal cross-coupling occurs in a given system's response. Here, two prototypical systems are considered. The first is a simple rectangular plate whose significant modal cross-coupling is the exception rather than the norm. The second is a pair of rectangular plates attached at a point where significant modal cross-coupling is more likely to occur. We show that, for certain cases of modal density and damping, non-negligible cross coupling occurs in both systems. Under similar circumstances, the constraint force between the two plates in the latter system becomes broadband. The implications of this for using Asymptotic Modal Analysis (AMA) in multi-component systems are discussed.

Duke Scholars

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

March 3, 2018

Volume

416

Start / End Page

172 / 191

Related Subject Headings

  • Acoustics
  • 09 Engineering
  • 02 Physical Sciences
 

Citation

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Culver, D., & Dowell, E. (2018). On modal cross-coupling in the asymptotic modal limit. Journal of Sound and Vibration, 416, 172–191. https://doi.org/10.1016/j.jsv.2017.11.039
Culver, D., and E. Dowell. “On modal cross-coupling in the asymptotic modal limit.” Journal of Sound and Vibration 416 (March 3, 2018): 172–91. https://doi.org/10.1016/j.jsv.2017.11.039.
Culver D, Dowell E. On modal cross-coupling in the asymptotic modal limit. Journal of Sound and Vibration. 2018 Mar 3;416:172–91.
Culver, D., and E. Dowell. “On modal cross-coupling in the asymptotic modal limit.” Journal of Sound and Vibration, vol. 416, Mar. 2018, pp. 172–91. Scopus, doi:10.1016/j.jsv.2017.11.039.
Culver D, Dowell E. On modal cross-coupling in the asymptotic modal limit. Journal of Sound and Vibration. 2018 Mar 3;416:172–191.
Journal cover image

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

March 3, 2018

Volume

416

Start / End Page

172 / 191

Related Subject Headings

  • Acoustics
  • 09 Engineering
  • 02 Physical Sciences