Abstract
This study performs a systematic analysis of the dynamic behavior of a crack rotor-bearing system with rub-impact effect. The dynamic orbits of the system are observed using bifurcation diagrams plotted using the dimensionless damping coefficient, the dimensionless unbalance parameter and the dimensionless rotational speed ratio as control parameters. The analysis methods employed in this study include the dynamic trajectories of the crack rotor-bearing system, power spectra, Poincaré maps and bifurcation diagrams. Lyapunov exponent and fractal dimensional analysis are also used to identify the onset of chaotic motion. The numerical results reveal that the system exhibits a diverse range of periodic, sub-harmonic, quasi-periodic and chaotic behaviors. The results presented in this study provide an understanding of the operating conditions under which undesirable dynamic motion takes place in a crack rotor-bearing system and therefore serve as a useful source of reference for engineers in designing and controlling such systems.
Highlights
Cracked rotor and rub-impact between rotor/stator are both common faults found in turbo-machineries
The nonlinear dynamic equations presented in equations (3) to (6) for the crack rotor-bearing system were solved using the fourth order Runge-Kutta method
The time series data corresponding to the first 800 revolutions of the rotor-bearing system were deliberately excluded from the dynamic analysis to ensure that the analyzed data related to steady-state conditions
Summary
Cracked rotor and rub-impact between rotor/stator are both common faults found in turbo-machineries. The diagnosis the cracked rotor or rub-impact effect can help researchers or engineers understand how to escape the undesired vibration and fatigues.
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