Piecewise approximate analytical solutions for a Jeffcott rotor with a snubber ring

Nonlinear vibrations of a misaligned bladed Jeffcott rotor

“…The experimental validation of numerical simulations has usually been observed on simple mathematical models. Karpenko et al [1][2][3] found a positive correlation between analytical, numerical and experimental bifurcation diagrams of a Jeffcott rotor with a preloaded snubber ring. Gonsalves et al [4] developed a model of discontinuous Jeffcott rotor subjected to mass-unbalance forces.…”

Applied nonlinear dynamics of non-smooth mechanical systems

“…Ehrich (1992) investigated spontaneous sidebanding, while Ganesan (1996) looked at the stability analysis. Numerical investigation of the model of the Jeffcott rotor with a snubber ring by Karpenko et al (2002b) has shown the existence of multiple attractors and fractal basins of attraction. Influence of the preloading and viscous damping of the snubber ring was investigated in Karpenko et al (2003b) where it was shown how the preloading of the snubber ring could stabilize the dynamic responses.…”

“…R is the radial displacement of the rotor. For the "no contact" situation the distance between the centres of the rotor and the snubber ring is equal to the radial displacement of the rotor D = R. ABCM When rotor moves inside the stator without any interaction with the ring the equations of motion for the rotor and the snubber ring are as follows (Karpenko et al, 2003a) …”

Time-Frequency Analysis for Rotor-Rubbing Diagnosis

“…Other approaches use analytical methods for calculating the nonlinear dynamic response of rotor systems. Secondorder differential equations which are linear for non-contact and strongly nonlinear for contact scenarios have been used (Karpenko et al, 2002). Rub-related forces for a rotor touching an obstacle can be modeled by means of a periodic step-function that neglects the transient process (Muszynska, 2005).…”