Abstract
Based on the Timoshenko beam theory, a novel mathematical model of a rotating shaft with centrifugal terms is developed by using Hamilton’s principle and Euler angles. The associated conventional model is provided for comparison purpose. The features of the proposed mathematical model are discussed based on some selected coordinate systems. The frequencies and modes are investigated to show the influences of centrifugal terms on the stability of the gyroscopic systems. The results show that the novel model proposed may lose stability due to the centrifugal terms. It is also found that the backward precession mode can be changed into a forward one beyond the critical rotating velocity.
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.
