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Vibration and Stability Analysis of Rotor with Initial Bow and Non-Linear Supports
Mousavi Kani, Mohammad Reza | 2021
288
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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 54589 (45)
- University: Sharif University of Technology
- Department: Aerospace Engineering
- Advisor(s): Dehghani Firouzabadi, Rouhollah
- Abstract:
- In this study, the effect of the initial bow on vibrations and stability of the rotor with nonlinear supports has been investigated. Using the energy method, the rotor’s equations of motion for the four-degree of freedom Jeffcott rotor and the elastic rotor assuming Tymoshenko beam relations are calculated. It is very important to study the initial bow as one of the common faults in rotating machines that has a great effect on system vibrations. A method was proposed to reduce rotor vibrations and balancing systems. Choosing a way to eliminate machine defects is one of the points considered by rotor dynamic engineers. Many factors can cause a bow in the rotor, some of the most important of which are mentioned. Finally, the effect of the initial bow and its combination with nonlinear support on vibrations and rotor stability over time is investigated. In the obtained equations, the degrees of freedom coefficients are time-dependent. The equations of motion in this system are in accordance with the equation of Floquet theory. Floquet theory has been used to analyze the obtained equations of motion. The stability of the system and the effect of the dynamic coefficients of the supports on the stability of the system have been investigated using Floquet diagrams. In stability analysis, the method of stabilizing unstable systems is presented
- Keywords:
- Rotor Dynamics ; Jeffcott Rotor ; Nonlinear Support ; Rotor Stability ; Floquet Eigenfunctions ; Initial Bow ; Elastic Rotor
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