Abstract
The aim of this paper is to present a finite element modeling of the dynamic motion of a turbine rotor and its controller design with the mass unbalance under a crack on a rotating shaft. This process is an advanced method to the mathematical description of a system including an influence of a mass unbalance and a crack on the rotor shaft. As the first step, the shaft is physically modeled with a finite element method and the dynamic mathematical model is derived by using the Hamilton principle; thus, the system is represented by various subsystems. The equation of motion of a shaft with a mass unbalance and a crack is established by adapting the local mass unbalance and stiffness change through breathing and gaping from the existence of a crack. This is a reference system for the given system. Based on a fictitious model for transient behavior induced from vibration phenomena measured at the bearings, an elementary estimator is designed for the safety control and detection of a mass unbalance on the shaft. Using the state estimator, a bank of an estimator is established to get the diagnosis and the system data for a controller.
Highlights
To meet high requirement of the structure of modern control systems and to satisfy the reliability of a system, first of all, it is strongly necessary to introduce the mathematical precise description of the given system
Given system used the “Finite Element” which involved the characteristics of the kinetics and kinematics
When the interest comes to the dynamic behavior by high signal amplitude or various operating points, the safe operation is getting more and more important
Summary
To meet high requirement of the structure of modern control systems and to satisfy the reliability of a system, first of all, it is strongly necessary to introduce the mathematical precise description of the given system. When the interest comes to the dynamic behavior by high signal amplitude or various operating points, the safe operation is getting more and more important This is obviously verified when a part of systems suddenly goes out of function. To take precautions against these kinds of troubles, many scientists in the world have been making efforts for a long time It required the inspection during the operation: certainty and system assessment. By this way, the sudden appearance of defects and the alteration of the processes can be found out, and the reason for the troubles and the place are detected (Fault Detection and Isolation, FDI). For this procedure, the mathematical model of the concerned physical
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
