Vibration analysis of externally damped spinning Timoshenko beams with general boundary conditions is performed analytically. Exact solutions for 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.
Issue Section:
Brief Notes
1.
Argento
A.
1995
, “A Spinning Beam Subjected to a Moving Deflection Dependent Load, Part I: Response and Resonance
,” Journal of Sound and Vibration
, Vol. 182
, pp. 595
–615
.2.
Lee
H. P.
1995
, “Dynamic Response of a Rotating Timoshenko Shaft Subjected to Axial Forces and Moving Loads
,” Journal of Sound and Vibration
, Vol. 181
, pp. 169
–177
.3.
Medgyesi
E.
1991
, “Stability of a Simple Rotor with Nonlinear Internal Damping
,” ASME Vibration Analysis—Analytical and Computational
, DE-Vol. 37
, pp. 233
–237
.4.
Singh
M. P.
Abdelnaser
A. S.
1993
, “Random Vibrations of Externally Damped Viscoelastic Timoshenko Beams With General Boundary Conditions
,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 60
, pp. 149
–156
.5.
Tan
C. A.
Kuang
W.
1995
, “Vibration of a Rotating Discontinuous Shaft by the Distributed Transfer Function Method
,” Journal of Sound and Vibration
, Vol. 183
, pp. 451
–474
.6.
Zu
J. W.
Han
R. P. S.
1992
, “Natural Frequencies and Normal Modes of a Spinning Timoshenko Beam With General Boundary Conditions
,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 59
, pp. 197
–204
.
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