The interaction of vibratory traveling waves in rotating and stationary axisymmetric components is examined. In the most general case, a resonance can occur when the wave propagation speed in a first structure is equal in magnitude and direction to the rotational velocity of an adjacent structure. When a backward wave in a rotor appears stationary, a major resonance, as discussed in Wilfred Campbell's classic paper (Campbell, W., 1924, “The Protection of Steam Turbine Disc Wheels from Axial Vibrations,” Trans ASME, 46, pp. 31–160), results. A related resonance has been observed when the wave propagation speed in the stator is equal to the physical speed of the adjacent rotor. A third mechanism is derived for resonance between a wave in rotor 1 and a co- or counter-rotating rotor 2. Description of a component test which demonstrated this final phenomenon is provided.
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e-mail: robert.p.czachor@aol.com
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October 2013
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Extension of Campbell's Major Resonance With Experimental Demonstration
Robert P. Czachor
GE Aircraft Engines,
Cincinnati, OH 45215
e-mail: robert.p.czachor@aol.com
Robert P. Czachor
Chief Consulting Engineer, Structures
GE Aircraft Engines,
1 Neumann Way
,Cincinnati, OH 45215
e-mail: robert.p.czachor@aol.com
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Robert P. Czachor
Chief Consulting Engineer, Structures
GE Aircraft Engines,
1 Neumann Way
,Cincinnati, OH 45215
e-mail: robert.p.czachor@aol.com
Contributed by the Design Engineering Division of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received February 13, 2012; final manuscript received March 19, 2013; published online June 18, 2013. Assoc. Editor: Alan Palazzolo.
J. Vib. Acoust. Oct 2013, 135(5): 054501 (5 pages)
Published Online: June 18, 2013
Article history
Received:
February 13, 2012
Revision Received:
March 19, 2013
Citation
Czachor, R. P. (June 18, 2013). "Extension of Campbell's Major Resonance With Experimental Demonstration." ASME. J. Vib. Acoust. October 2013; 135(5): 054501. https://doi.org/10.1115/1.4024209
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