Bending frequency of a rotating beam with an elastically restrained root

Sen-Yung Lee, Yee Hsiung Kuo

Research output: Contribution to journalConference article

Abstract

Upper and lower bounds of the fundamental bending frequency of a rotating uniform beam with an elastically restrained root are obtained by the Rayleigh's and minimum principles, respectively. It is shown that the fundamental bending frequency of the rotating uniform beam with rotational flexibility only is always higher than that of the nonrotating beam. If the setting angle is not equal to zero, the fundamental bending frequency of the rotating uniform beam with translational flexibility can be less than of the nonrotating beam, and the phenomenon of divergence instability (tension buckling due to the centrifugal force) may occur. Finally, the influence of hub radius, setting angle, rotational speed, and elastic root restraints on the fundamental bending frequency of the beam is also investigated numerically by the transfer matrix method.

Original languageEnglish
Pages (from-to)1-6
Number of pages6
JournalAmerican Society of Mechanical Engineers (Paper)
Publication statusPublished - 1991 Dec 1
EventJoint Applied Mechanics/Bioengineering Conference - Columbus, OH, USA
Duration: 1991 Jun 161991 Jun 19

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All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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