Abstract
A mathematical model developed by V.V. Bolotin for the study of the stability of a whirling shaft is investigated. It is shown that when a non-linear description of the system's elastic restoring force is used that every solution of the system is bounded for any choice of shaft angular velocity and asympotically stable if the angular velocity is less than or equal to the shaft's critical velocity. This result differs from all previously obtained results. An energy method is developed and the direct method of Liapunov is used to handle the equations of motion.
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.
