Abstract
The stability properties of cutting processes are strongly limited by the so-called regenerative effect. This effect is originated in the presence of a time-delay in the dynamical system of the machine tool. This delay is inversely proportional to the cutting speed. Consequently, conventional cutting with a single-edge tool is modeled by an autonomous delay-differential equation (DDE). In case of milling, the varying number of cutting edges results in a kind of parametric excitation, and the corresponding mathematical model is a non-autonomous DDE. In case of low-immersion milling, this affects the stability boundaries in a substantial way. Cutting with varying spindle speed results non-autonomous DDEs where the time delay itself depends on the time periodically. A new semi-discretization method is proposed to handle the stability of these non-autonomous systems. The stability properties and corresponding bifurcations are compared in the above different cases of machining.
| Original language | English (US) |
|---|---|
| Pages | 2691-2698 |
| Number of pages | 8 |
| State | Published - 2001 |
| Event | 18th Biennial Conference on Mechanical Vibration and Noise - Pittsburgh, PA, United States Duration: Sep 9 2001 → Sep 12 2001 |
Other
| Other | 18th Biennial Conference on Mechanical Vibration and Noise |
|---|---|
| Country/Territory | United States |
| City | Pittsburgh, PA |
| Period | 9/9/01 → 9/12/01 |
ASJC Scopus subject areas
- Modeling and Simulation
- Mechanical Engineering
- Computer Science Applications
- Computer Graphics and Computer-Aided Design