A Qualitative Analysis of the Nonlinear Oscillations of Rotors. Mixed and Self-Induced Oscillation Regimes
The asymptotic methods in the theory of nonlinear vibrations described in the previous chapter can be used to investigate the dynamics of rotors under very general assumptions concerning the forces of internal and external friction. We limit ourselves in this work, however, to the relatively simple relations (2.6’) and (2.11) used in the derivation of the equations of motion (2.12) and (2.14). These relations, as already indicated, reflect the main properties of these forces and explain many phenomena observed experimentally. Relations for factional forces more detailed than (2.6’) and (2.11) are needed when more experimental results concerning these forces in rotors in contemporary machines become available.
KeywordsAngular Velocity Free Vibration Forced Vibration Characteristic Exponent Relative Deformation
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