Zeroth-order corrections to the Euler-Bernoulli beam model

Harry Dankowicz, Walter Lacarbonara

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

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.

Original languageEnglish (US)
Title of host publicationASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010
Pages827-833
Number of pages7
DOIs
StatePublished - Dec 1 2010
EventASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010 - Montreal, QC, Canada
Duration: Aug 15 2010Aug 18 2010

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume5

Other

OtherASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010
CountryCanada
CityMontreal, QC
Period8/15/108/18/10

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

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  • Cite this

    Dankowicz, H., & Lacarbonara, W. (2010). Zeroth-order corrections to the Euler-Bernoulli beam model. In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010 (pp. 827-833). (Proceedings of the ASME Design Engineering Technical Conference; Vol. 5). https://doi.org/10.1115/DETC2010-28314