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Free Vibrations of Timoshenko Beam with End Mass in the Field of Centrifugal Forces

Manevich A. I., Vlasova V. Yu.

Mechanics and Mechanical Engineering

2014

Vol. 18, nr 1

37--51

An analysis of natural frequencies and modes for a cantilever radial rotating beam with end mass is carried out within framework of Timoshenko beam model, on the base of convenient dimensionless equations of motion depended only on two dimensionless parameters. It is shown that the shear deformations at high angular speeds lead to significant changes in the natural modes, and as a consequence – to relevant qualitative effects for the natural frequencies.