ISSN:
1573-269X
Keywords:
Vibration of continuous rotor
;
nonlinear vibration
;
subharmonic resonance
;
combination resonance
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Nonlinear forced oscillations of a vertical continuous rotor with distributed mass are discussed. The restoring force of the rotor has geometric stiffening nonlinearity due to the extension of the rotor center line. The possibility of the occurrence of nonlinear forced oscillations at various subcritical speeds and the shapes of resonance curves at the major critical speeds and at some subcritical speeds are investigated theoretically. Consequently, the following is clarified: (a) the shape of resonance curves at the major critical speed becomes a hard spring type, and (b) among various kinds of nonlinear forced oscillations, only some special kinds of combination resonances have possibility of occurrence.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00044997
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