Nonlinear equations of flexural-flexural-torsional oscillations of rotating beamswith arbitrary cross-section

K. V. Avramov, C. Pierre, N. V. Shyriaieva

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12 Scopus citations

Abstract

A system of three nonlinear partial differential equations describing the flexural-flexural-torsional vibrations of a rotating slender cantilever beam of arbitrary cross-section is derived using Hamilton's principle. It is assumed that the center of gravity and the shear center are at different points. The interaction between flexural and torsional vibrations is accounted for in the linear and nonlinear parts of model

Original languageEnglish
Pages (from-to)582-589
Number of pages8
JournalInternational Applied Mechanics
Volume44
Issue number5
DOIs
StatePublished - May 2008

Keywords

  • Cross-section
  • Flexural-flexural-torsional vibrations
  • Rotating beam

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