Stability Analysis of Rotor Bearing Systems via Lyapunov's Direct Method

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Keshavarz, Ehsan | 2015

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 48461 (08)
University: Sharif University of Technology
Department: Mechanical Engineering
Advisor(s): Zohoor, Hassan
Abstract:
Due to the use of rotor dynamics, in the rotating systems such as pumps, turbines and machine tool spindle gained special significance in recent decades and a growing need for rotating machines with high speed, leading to extensive research in this area. Due to instability in the dynamics of these systems, check the stability of the rotor system has been given special emphasis, so that studies and research in terms of models and methods allocated to this topic. The project analyzed the stability of a rotor that includes an elastic shaft is placed on the bearings as it is objective. From point of modeling, the rotor is modeled using Timoshenko beam theory and the rotor mounted on bearing with 8 flexibility and damping coefficients that 4 of them deal with principal parameters of flexibility and damping. Checking stability is done by use of direct lyanpunov method such that the hamiltonin function is selected as candidate lyapunov function and the stability condition at the various cases is presented in figures
Keywords:
Rotor-Bearing System ; Timoshenko Beams ; Lyapunov Stability ; Journal Bearings ; Magnetic Bearing

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