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Locating period doubling and Neimark-Sacker bifurcations in parametrically excited rotors on active gas foil bearings

  • In this work, parametric excitation is introduced in a fully balanced flexible rotor mounted on two identical active gas foil bearings. The active gas foil bearings change the top foil shape harmonically with a specific amplitude and frequency. The deformable foil shape is approximated by an analytical function, while the gas pressure distribution is evaluated by the numerical solution of the Reynolds equation for compressible flow. The harmonic variation of the foil shape generates a respective variation in the bearings’ stiffness and damping properties and the system experiences parametric resonances and antiresonances in specific excitation frequencies. The nonlinear gas bearing forces generate bifurcations in the solutions of the system at certain rotating speeds and excitation frequencies; period doubling and Neimark-Sacker bifurcations are noticed in the examined system, and their progress is evaluated as the two bifurcation parameters (rotating speed and parametric excitation frequency) are changed, though a codimension-2 numerical continuation of limit cycles. It is found that at specific range of excitation frequency there are parametric anti-resonances and the bifurcations collide and vanish. Therefore, a bifurcation-free operating range is established and the system can operate stable at a wide speed range.

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Metadaten
Author:Emmanouil Dimou, Ioannis Gavalas, Fadi Dohnal, Athanasios Chasalevris
DOI:https://doi.org/10.1007/978-3-031-40459-7_22
ISBN:978-3-031-40458-0
ISBN:978-3-031-40459-7
Parent Title (English):IFToMM 2023: Proceedings of the 11th IFToMM International Conference on Rotordynamics. Volume 2
Publisher:Springer
Place of publication:Cham
Document Type:Article
Language:English
Year of publication:2023
Release Date:2024/01/29
Tag:nonlinear dynamics; rotordynamics
First Page:324
Last Page:341
Organisationseinheit:Forschung / Forschungszentrum Mikrotechnik
DDC classes:600 Technik, Medizin, angewandte Wissenschaften
Open Access?:nein
Peer review:wiss. Beitrag, peer-reviewed
Dohnal, Fadi