Nonlinear Dynamics of Whirling Rotor with Asymmetrically Supported Snubber Ring
Rotor–stator whirling is a critical malfunction frequently encountered in rotating machinery, often resulting in severe damages. This study investigates the nonlinear dynamics of a whirling rotor interacting with a snubber ring through numerical simulations that account for the stiffness asymmetries...
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MDPI AG
2024-12-01
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| author | Heba Hamed El-Mongy Tamer Ahmed El-Sayed Vahid Vaziri Marian Wiercigroch |
| author_facet | Heba Hamed El-Mongy Tamer Ahmed El-Sayed Vahid Vaziri Marian Wiercigroch |
| author_sort | Heba Hamed El-Mongy |
| collection | DOAJ |
| description | Rotor–stator whirling is a critical malfunction frequently encountered in rotating machinery, often resulting in severe damages. This study investigates the nonlinear dynamics of a whirling rotor interacting with a snubber ring through numerical simulations that account for the stiffness asymmetries of the snubber ring. A two-degrees-of-freedom (DOF) model is employed to analyse the contact interactions that occurred between the rotor and the snubber ring, assuming a linear elastic contact model. The analysis also incorporates the static offset between the centers of the rotor and the snubber ring. The dynamic behaviour of the whirling system is characterised by pronounced nonlinearity due to transitions between contact and non-contact states. The model is first validated against our prior theoretical and experimental studies. The nonlinear responses of the rotor are analysed to evaluate the effects of stator asymmetry through various techniques, including time-domain waveforms, frequency spectra, rotor orbits, and bifurcation diagrams. Furthermore, the influence of varying system parameters, such as rotational speed and the damping ratio, both with and without stator asymmetry, are systematically analysed. The results demonstrate that the rubbing response is highly sensitive to small variations in system parameters, with stator asymmetry significantly affecting system behaviour, even at low asymmetry levels. Direct stiffness asymmetry is shown to have a more pronounced effect than cross-coupling stiffness. The system exhibits a range of dynamics, including periodic, quasi-periodic, and chaotic responses, with regions of periodic orbits coexisting with chaotic ones. Complex phenomena such as period doubling, period halving, and jump bifurcations are identified, alongside quasi-periodic and period doubling routes to chaos. These findings contribute to a deeper understanding of the nonlinear phenomena associated with rotor–stator whirling and provide valuable insights into the unique characteristics of rubbing faults, which could facilitate fault diagnosis. |
| format | Article |
| id | doaj-art-7b9b9dcfa16c4757ac88f2526ec2ad46 |
| institution | Kabale University |
| issn | 2075-1702 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
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| series | Machines |
| spelling | doaj-art-7b9b9dcfa16c4757ac88f2526ec2ad462024-12-27T14:37:06ZengMDPI AGMachines2075-17022024-12-01121289710.3390/machines12120897Nonlinear Dynamics of Whirling Rotor with Asymmetrically Supported Snubber RingHeba Hamed El-Mongy0Tamer Ahmed El-Sayed1Vahid Vaziri2Marian Wiercigroch3Department of Mechanical Design, Faculty of Engineering, Mataria, Helwan University, Helmeiat-Elzaton, Cairo P.O. Box 11718, EgyptDepartment of Mechanical Design, Faculty of Engineering, Mataria, Helwan University, Helmeiat-Elzaton, Cairo P.O. Box 11718, EgyptCentre for Applied Dynamics Research, School of Engineering, University of Aberdeen, Aberdeen AB24 3UE, UKCentre for Applied Dynamics Research, School of Engineering, University of Aberdeen, Aberdeen AB24 3UE, UKRotor–stator whirling is a critical malfunction frequently encountered in rotating machinery, often resulting in severe damages. This study investigates the nonlinear dynamics of a whirling rotor interacting with a snubber ring through numerical simulations that account for the stiffness asymmetries of the snubber ring. A two-degrees-of-freedom (DOF) model is employed to analyse the contact interactions that occurred between the rotor and the snubber ring, assuming a linear elastic contact model. The analysis also incorporates the static offset between the centers of the rotor and the snubber ring. The dynamic behaviour of the whirling system is characterised by pronounced nonlinearity due to transitions between contact and non-contact states. The model is first validated against our prior theoretical and experimental studies. The nonlinear responses of the rotor are analysed to evaluate the effects of stator asymmetry through various techniques, including time-domain waveforms, frequency spectra, rotor orbits, and bifurcation diagrams. Furthermore, the influence of varying system parameters, such as rotational speed and the damping ratio, both with and without stator asymmetry, are systematically analysed. The results demonstrate that the rubbing response is highly sensitive to small variations in system parameters, with stator asymmetry significantly affecting system behaviour, even at low asymmetry levels. Direct stiffness asymmetry is shown to have a more pronounced effect than cross-coupling stiffness. The system exhibits a range of dynamics, including periodic, quasi-periodic, and chaotic responses, with regions of periodic orbits coexisting with chaotic ones. Complex phenomena such as period doubling, period halving, and jump bifurcations are identified, alongside quasi-periodic and period doubling routes to chaos. These findings contribute to a deeper understanding of the nonlinear phenomena associated with rotor–stator whirling and provide valuable insights into the unique characteristics of rubbing faults, which could facilitate fault diagnosis.https://www.mdpi.com/2075-1702/12/12/897bifurcation analysisrotor–stator whirlingstator stiffness asymmetrynonlinear dynamics |
| spellingShingle | Heba Hamed El-Mongy Tamer Ahmed El-Sayed Vahid Vaziri Marian Wiercigroch Nonlinear Dynamics of Whirling Rotor with Asymmetrically Supported Snubber Ring Machines bifurcation analysis rotor–stator whirling stator stiffness asymmetry nonlinear dynamics |
| title | Nonlinear Dynamics of Whirling Rotor with Asymmetrically Supported Snubber Ring |
| title_full | Nonlinear Dynamics of Whirling Rotor with Asymmetrically Supported Snubber Ring |
| title_fullStr | Nonlinear Dynamics of Whirling Rotor with Asymmetrically Supported Snubber Ring |
| title_full_unstemmed | Nonlinear Dynamics of Whirling Rotor with Asymmetrically Supported Snubber Ring |
| title_short | Nonlinear Dynamics of Whirling Rotor with Asymmetrically Supported Snubber Ring |
| title_sort | nonlinear dynamics of whirling rotor with asymmetrically supported snubber ring |
| topic | bifurcation analysis rotor–stator whirling stator stiffness asymmetry nonlinear dynamics |
| url | https://www.mdpi.com/2075-1702/12/12/897 |
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