Author

University of Technology-Iraq

Abstract

An Analytical method is Presented for the determination of the Frequencies of the Rigid body modes of Vibration Timoshenko Beamresting on an Elastic Foundation. The Results obtained show excellent agreement with the obtained from a finite element analysis. It is concluded. that the frequency the of rotational rigid body modes diminished by the ratio 1/(1+12R) where R is the rotary inertia parameter. A dynamic stability analysis a free - free Timoshenko Beamresting on an Elastic Foundation and subjected to periodic axial loads is carrier out. the regions of dynamic instability associated with the translational and rotational rigid body modes determined.

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