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Zeroth-Order Corrections to the Euler-Bernoulli Beam Model

[+] Author Affiliations
Harry Dankowicz

University of Illinois at Urbana-Champaign, Urbana, IL

Walter Lacarbonara

Sapienza University of Rome, Rome, Italy

Paper No. DETC2010-28314, pp. 827-833; 7 pages
doi:10.1115/DETC2010-28314
From:
  • ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 22nd International Conference on Design Theory and Methodology; Special Conference on Mechanical Vibration and Noise
  • Montreal, Quebec, Canada, August 15–18, 2010
  • Conference Sponsors: Design Engineering Division and Computers in Engineering Division
  • ISBN: 978-0-7918-4413-7 | eISBN: 978-0-7918-3881-5
  • Copyright © 2010 by ASME

abstract

This paper compares the frequency-amplitude relationship for nonlinear oscillations of a geometrically nonlinear model of a slender beam in the absence of damping with the corresponding predictions from the Mettler model for the transverse motion. In particular, the analysis shows that the Mettler model fails to account for a constant, amplitude-independent shift in the nonlinear frequency relative to the linear frequency caused by rotary inertia terms.

Copyright © 2010 by ASME

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