Part of the International Centre for Mechanical Sciences book series (CISM, volume 273)
Principles of Rotor System Instability
Equations of free transverse vibrations of a rotating shaft , ,  describing small vibrations of the shaft around its equilibrium position at the speed ω, are of the formExternal he and internal hi damping coefficients, reduced to the reference unit mass (Aρ)o of the shaft arece and ci are equivalent viscous coefficients of external and internal damping and Aρ and EI are respectively mass of unit length and stiffness of the shaft, both variable along the axial coordinate z.
KeywordsStability Limit Parametric Excitation Instability Region Circular Frequency Shaft Speed
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© Springer-Verlag Wien 1984