On the dynamics of Timoshenko/Euler-Bernoulli-beams. A unified approach

Z. E. Boutaghou, Arthur G Erdman

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

3 Scopus citations


A systematic approach to study the flexibility of multibody systems is developed independent of the strain energy model selected to describe the elastic deformation. The application of the proposed formulation to a rotating two-dimensional Euler-Bernoulli beam shows that supplementary terms due to coupling between rigid-body kinematics and elastic curvature contribute to the transverse vibrations of the beam not accounted for by Rayleigh's formulation. Further application of the methodology to a rotating three-dimensional Timoshenko beam shows that out-of-plane vibrations can occur due to in-plane excitation.

Original languageEnglish (US)
Title of host publicationAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
PublisherPubl by ASME
Number of pages8
StatePublished - Dec 1 1989
EventStructural Vibration and Acoustics - Montreal, Que, Can
Duration: Sep 17 1989Sep 21 1989


OtherStructural Vibration and Acoustics
CityMontreal, Que, Can


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