Abstract
The governing equations for a simple, singly regenerative system are solved in closed form. A metal cutting system is chosen as the model for the theory. The exponential growth index α is expressed in terms of various machine and operating parameters. When α > 0, chatter grows exponentially with time. When α < 0, the system is stable. Plots of α versus speed indicate that at higher spindle speeds αmax is greater, but there is a greater range of stable speeds between unstable zones. Plots of α versus chatter frequency, cutting stability index, lobe precession, and a newly defined variable (the ratio of apparent to actual cutting compliance) indicate that the lobe precession effect is the best sensor for a stability detector. In the special case, α = 0 the general theory reduces to the stability boundary theory developed previously.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.