scholarly journals Nonstationary vibration of a rotating shaft with nonlinear spring characteristics during acceleration through a critical speed. A critical speed of a 1/2-order subharmonic oscillation.

1989 ◽  
Vol 32 (4) ◽  
pp. 575-584 ◽  
Author(s):  
Yukio ISHIDA ◽  
Takashi IKEDA ◽  
Toshio YAMAMOTO ◽  
Shin MURAKAMI
Keyword(s):  
Critical Speed ◽  
Rotating Shaft ◽  
Nonlinear Spring ◽  
Nonstationary Vibration ◽  
Subharmonic Oscillation

Forced Oscillations of Rotating Shaft With Nonlinear Spring Characteristics and Internal Damping: Subharmonic Oscillation of Order 1/3 and Entrainment

1999 ◽  
Author(s):  
Yukio Ishida ◽  
Shin Murakami
Keyword(s):  
Critical Region ◽  
Critical Speed ◽  
Forced Oscillations ◽  
Ball Bearings ◽  
Internal Damping ◽  
Rotating Shaft ◽  
Nonlinear Spring ◽  
Subharmonic Oscillation

Abstract An elastic rotating shaft supported by ball bearings may have nonlinear spring characteristics due to clearance and internal damping due to friction between the shaft and the bearings. In such a system, self-excited oscillations appear in the post critical region and nonlinear forced oscillations appear at various resonance points. In this paper, a phenomenon in the neighborhood of the critical speed of the subharmonic oscillation of order 1/3 of a forward whirling mode is discussed. It is clarified that, similar to the case of the subharmonic oscillation of order 1/2 of a forward whirling mode, an entrainment phenomenon appears due to the interplay between self-excited oscillations and forced oscillations.

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