Abstract
This article presents results of vibrations of spindle system subjected to non-linear and non-smooth ball bearing stiffness. The averaging method, an approximate analytical technique, is applied directly to the non-linear and non-smooth differential equations of motion which ultimately leads to approximate analytical expressions for the frequency response relations of the system. The effects of ball bearing clearance and spindle structural damping on the frequency response curves are investigated. Hardening-type non-linear behaviours are observed in the ranges of base excitation frequency ω near the first, second and third natural frequencies. Crossing and breaking frequency response curves are also observed due to the non-linear and non-smooth properties of ball bearing stiffness. These solutions are clear indications that significant non-linear and non-smooth phenomena are of fundamental importance in the study of spindle bearing system. They also provide direct insight into the relationship between the system parameters and vibration characteristics of the system.
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 callMore From: Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics
Disclaimer: 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.
