Analytical Prediction of Chatter Stability in Milling—Part I: General Formulation
- 1 March 1998
- journal article
- Published by ASME International in Journal of Dynamic Systems, Measurement, and Control
- Vol. 120 (1), 22-30
- https://doi.org/10.1115/1.2801317
Abstract
A new analytical method of chatter stability prediction in milling is presented. A general formulation for the dynamic milling system is developed by modeling the cutter and workpiece as multi-degree-of-freedom structures. The dynamic interaction between the milling cutter and workpiece is modeled considering the varying dynamics in the axial direction. The dynamic milling forces are governed by a system of periodic differential equations with delay whose stability analysis leads to an analytical relation for chatter stability limit in milling. The model can be used to determine the chatter free axial and radial depth of cuts without resorting to time domain simulations.Keywords
This publication has 16 references indexed in Scilit:
- Arbitrary Surface Flank Milling of Fan, Compressor, and Impeller BladesJournal of Engineering for Gas Turbines and Power, 1995
- CAD assisted chatter-free NC tool path generation in millingInternational Journal of Machine Tools and Manufacture, 1994
- A New Theoretical Approach for the Prediction of Machine Tool Chatter in MillingJournal of Engineering for Industry, 1993
- Efficient Simulation Programs for Chatter in MillingCIRP Annals, 1993
- Dynamic Peripheral Milling of Flexible StructuresJournal of Engineering for Industry, 1992
- Analysis of chatter vibration in a cutter-workpiece systemInternational Journal of Machine Tools and Manufacture, 1991
- Analysis of chatter vibration in the end milling processInternational Journal of Machine Tools and Manufacture, 1991
- Analysis of Linear and Nonlinear Chatter in MillingCIRP Annals, 1990
- Basic Non-Linearity in Machining ChatterCIRP Annals, 1981
- Theory of Self-Excited Machine-Tool Chatter: Contribution to Machine-Tool Chatter Research—1Journal of Engineering for Industry, 1965