A unified approach for the dynamics of beams undergoing arbitrary spatial motion

Z. E. Boutaghou, Arthur G Erdman

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

A unified approach to systematically derive the dynamic equations for flexible bodies is proposed. This approach is not limited to a particular definition of the field of kinematic representation of deformation. Dynamics of flexible bodies in arbitrary spatial motion experiencing small and large elastic deflections are considered. Two test cases are analyzed via the unified approach. For the first case, linear partial differential equations based on theEuler-Bernoulli beam theory with the von Kdrmdn geometric constraint for flexible bodies in planar motion are derived. These equations capture the centrifugal stiffening effects arising in fast rotating structures. For the second case, analytical and numerical evidence of out-of-plane vibrations of an inplane rotating three-dimensional Timoshenko beam with cross sectional area of arbitrary shape is reported.

Original languageEnglish (US)
Pages (from-to)494-502
Number of pages9
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Volume113
Issue number4
DOIs
StatePublished - Oct 1991

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