Abstract: P. Kumar, S. Narayanan, P. Shakya (2026)

The rotor-stator rubs that may occur due to optimized clearance combined with high shaft vibration are significant issues for machine stability, reliability, and lateral shaft motion. The present work numerically and experimentally investigates the rub-induced nonlinear vibration characteristics and discontinuity-induced bifurcation in a non-smooth Jeffcott rotor-stator system with different forms of compliant rub-impact models subjected to combined unbalance force and noise. First, a two degree-of-freedom (DOF) Jeffcott model with symmetric and asymmetric support stiffness with cross-coupling is considered. Various models for compliant contact have been considered, including Hertz, Kelvin-Voigt, elastic, piecewise linear, and nonlinear dissipative contact force models. Next, a four DOF rotor-stator model is developed, where the rotor impacts the visco-elastically suspended elastic stator model through a nonlinear compliant contact model that includes local stiffness of the stator coating with an elastic wear layer. The effects of unbalance force, friction coefficient, damping coefficient, bearing clearance, shaft nonlinearities, system anisotropy, such as due to gravitational forces, cross-coupling stiffness, asymmetric stiffness, and parametric as well as additive noise on the dynamic response and stability are investigated. The uncertainty is modelled by generating appropriate Gaussian as well as non-Gaussian coloured noise processes, by filtering Gaussian white noise through a first-order linear and nonlinear filter, respectively. The dynamic behaviour is presented using time waveform, whirling motion, Poincare' section, bifurcation diagram, wavelet transform, recurrence plots and the largest Lyapunov exponent. An experimental study is carried out using a Jeffcott rotor and a movable elastic rod to simulate the rubbing phenomenon. Numerical results are also compared with actual rubbing, as observed during troubleshooting and condition monitoring for various rotating machinery.

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Rub-induced nonlinear vibration and discontinuity-induced bifurcation analysis of a noisy rotor-stator system with different compliant contact force models