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Keywords: critical speed
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Journal Articles
Article Type: Research Papers
J. Vib. Acoust. June 2022, 144(3): 031012.
Paper No: VIB-21-1090
Published Online: January 11, 2022
...Lawrence N. Virgin This paper presents a new approach to predicting an incipient critical speed in a rotating shaft. Based on the classical governing equations of motion for an eccentric mass on a flexible shaft (the Jeffcott rotor model), the approach is centered on examining the behavior of small...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. February 2020, 142(1): 011007.
Paper No: VIB-19-1278
Published Online: November 18, 2019
... these parameters. Moreover, in the present work, to investigate the natural frequencies and critical speeds versus λ, δ, and γ, new diagrams are introduced. Also, the relation between the in-plane and out-of-plane motions of the blades with the coupling vibration is precisely analyzed. Fig. 11 The second mode...
Includes: Supplementary data
Journal Articles
Article Type: Research-Article
J. Vib. Acoust. February 2014, 136(1): 011014.
Paper No: VIB-13-1159
Published Online: November 13, 2013
... the smaller of the two critical speeds discussed later), the coefficient of Eq. (12) is real. Thus, the coordinates ν and s are in phase or 180   deg out of phase. Equation (10c) gives (13) x = j ( λ 2 + Ω 2 l r λ 2 - 2 j λ Ω...
Journal Articles
Article Type: Research-Article
J. Vib. Acoust. October 2013, 135(5): 051013.
Paper No: VIB-11-1255
Published Online: June 18, 2013
... axially moving beam, the gyroscopic matrix is no longer skew-symmetric because of the introduction of the soft core. The critical speed for the divergence of the axially moving sandwich beam is analytically obtained. The contribution of the core layer shear modulus to the natural frequencies and critical...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. October 2008, 130(5): 051002.
Published Online: August 12, 2008
... of the beam are initially obtained in the frequency domain and then represented as integrations of complex function in the space-time domain. A bifurcation is found in critical speed against resonance frequency. When the dimensionless frequency is high, there is a single critical speed that increases...