Complex frequencies and modes of externally damped shafts under different boundary conditions

Jean W. Zu, John M. Melanson

Research output: Contribution to journalArticlepeer-review

Abstract

Vibration analysis of externally damped spinning Timoshenko beams with general boundary conditions is performed analytically. Exact solutions for complex natural frequencies and normal modes for the six classical boundary conditions are derived for the first time. In the numerical simulations, the trend between the complex frequencies and the damping coefficient is investigated, and complex mode shapes are presented in three-dimensional space.

Original languageEnglish
Pages (from-to)111-115
Number of pages5
JournalAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Volume90
StatePublished - 1996

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