Chaotic Vibration of a Simple Model of the Machine Tool-Cutting Process System
- 1 July 1997
- journal article
- Published by ASME International in Journal of Vibration and Acoustics
- Vol. 119 (3) , 468-475
- https://doi.org/10.1115/1.2889747
Abstract
A study on a simple model of the machine tool—cutting process system is presented. As the system is non-linear and discontinuous, and exhibits intermittent cutting, non-linear dynamics techniques such as constructing bifurcation diagrams and Poincaré maps were employed to ascertain a quality of motion. Untypical routes to chaos and unusual topology of Poincaré sections were observed. New phenomena such as unidirectional bifurcation and births and deaths of periodic solutions were detected. It was also found out that the dynamic responses of the analysed system can be most effectively controlled by a magnitude of the cutting force.Keywords
This publication has 12 references indexed in Scilit:
- Chaotic VibrationsPublished by Wiley ,2004
- Non-periodic motion caused by grazing incidence in an impact oscillatorPublished by Elsevier ,2003
- Chaotic Motion of a Rotor System with a Bearing ClearancePublished by Springer Nature ,1993
- A unified system model of cutting chatter and its transformation functionInternational Journal of Machine Tools and Manufacture, 1989
- Chaotic dynamics of the cutting processInternational Journal of Machine Tools and Manufacture, 1988
- Devil's attractors and chaos of a driven impact oscillatorPhysics Letters A, 1985
- A periodically forced piecewise linear oscillatorJournal of Sound and Vibration, 1983
- A machining theory for predicting chip geometry, cutting forces etc. from work material properties and cutting conditionsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1980
- A Study of the Stick-Slip Motion of Machine Tool Feed DrivesProceedings of the Institution of Mechanical Engineers, 1969
- The Intrinsic Variables affecting the Stick-Slip ProcessProceedings of the Physical Society, 1958