Modeling Vibratory Drilling Dynamics
Author:
Batzer Stephen A.1, Gouskov Alexander M.2, Voronov Sergey A.2
Affiliation:
1. Mechanical Engineering Department, University of Arkansas, Fayetteville, AR 72701 2. Department of Applied Mechanics, Bauman Moscow State Technical University, Moscow, Russia
Abstract
The dynamic behavior of deep-hole vibratory drilling is analyzed. The mathematical model presented allows the determination of axial tool and workpiece displacements and cutting forces for significant dynamic system behavior such as the engagement and disengagement of the cutting tool into the workpiece material and tool breakthrough. Model parameters include the actual rigidity of the tool and workpiece holders, time-varying chip thickness, time lag for chip formation due to tool rotation and possible disengagement of drill cutting edges from the workpiece due to tool and/or workpiece axial vibrations. The main features of this model are its nonlinearity and inclusion of time lag differential equations, which require numeric solutions. The specific cutting conditions (feed, tool rotational velocity, amplitude and frequency of forced vibrations) necessary to obtain discontinuous chips and reliable removal are determined. Calculated bifurcation diagrams make it possible to derive the relevant domain of user-specified system parameters along with the determination of optimal cutting conditions.
Publisher
ASME International
Subject
General Engineering
Reference14 articles.
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