Asymptotic modal analysis of dynamical systems: The effect of modal cross-correlation


Journal Article

Asymptotic modal analysis (AMA) has been shown to be a useful approximation and valid limiting case for classical modal analysis (CMA) when the number of resonant modes in a frequency bandwidth becomes sufficiently large and the cross-correlation between resonant modes is neglected. For CMA the neglect of these cross-correlations is usually justified if the damping is small and the resonant modal frequencies are well separated. In this paper it is shown that the cross-correlations may be neglected in the AMA limit even when the damping is not small. There is a rare exception to this, i.e., when two or more identical resonant frequencies occur. But this exceptional case is easily treated by including the cross-correlations for only such modes that have the same frequencies. © 2003 Elsevier Ltd. All rights reserved.

Full Text

Duke Authors

Cited Authors

  • Li, A; Dowell, EH

Published Date

  • September 6, 2004

Published In

Volume / Issue

  • 276 / 1-2

Start / End Page

  • 65 - 80

International Standard Serial Number (ISSN)

  • 0022-460X

Digital Object Identifier (DOI)

  • 10.1016/j.jsv.2003.07.031

Citation Source

  • Scopus