Natural frequencies and mode shapes of flexible spinning beams

Chris D. Eick, Marc Mignolet

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Singular perturbation techniques are employed to estimate the natural frequencies and mode shapes of a highly flexible spinning Bernoulli-Euler beam. The normalized beam stiffness ε = El/mΩ 2R 4 is introduced and treated as a small parameter. Then, perturbation-based approximations of the natural frequencies and mode shapes are first derived for a general hub radius. The special cases of a zero hub radius and a normalized hub radius approaching 1.0 are investigated. The frequency predictions obtained for a zero hub radius matched the exact values within 3% for the first two vibration modes. Mode shape predictions are better for lower modes with an accuracy decreasing at higher modes. Excellent accuracy on both frequencies and mode shapes is obtained for the case of normalized hub radius approaching 1.0.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - AIAA/ASME Structures, Structural Dynamics and Materials Conference
PublisherPubl by AIAA
Pages2130-2137
Number of pages8
Editionpt 4
StatePublished - 1993
Event34th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference - La Jolla, CA, USA
Duration: Apr 19 1993Apr 22 1993

Other

Other34th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
CityLa Jolla, CA, USA
Period4/19/934/22/93

ASJC Scopus subject areas

  • Engineering(all)

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    Eick, C. D., & Mignolet, M. (1993). Natural frequencies and mode shapes of flexible spinning beams. In Collection of Technical Papers - AIAA/ASME Structures, Structural Dynamics and Materials Conference (pt 4 ed., pp. 2130-2137). Publ by AIAA.