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.
Extension of Campbell's Major Resonance With Experimental Demonstration
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.
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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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