Nonlinear Models of Dynamics in Drilling

Document Type

Presentation Abstract

Presentation Date

2-18-2003

Abstract

In this talk I will discuss primarily my joint research with Abe Askari of The Boeing Company on the chatter instability in drilling. Chatter is a self-excited oscillation between the machine tool and the workpiece that limits productivity of machining operations, reduces the quality of the product and shortens machine tool life. Up until recently all models of chatter have been linear, with delay effects in the case of regenerative chatter. These models only partially explain the instabilities observed in the machining process.

In aircraft manufacture drilling is a critical machining process: over a million holes may be drilled in the creation of a commercial passenger jet. To address the problem of chatter in drilling, we are developing a suite of nonlinear models of metal cutting that can be merged with finite element studies of drill vibration modes and informed by large scale of simulations of metal cutting operations. Typically, engineering studies of chatter have restricted themselves to the question of linear stability of a steady cutting solution; in addition to that we are studying the effects of the nonlinear terms in the model on the resulting dynamics. Contact has been made with laboratory results from experiments conducted in Seattle and St. Louis, with the goal of directing tool design and allowing machine operators to avoid chatter regimes in drilling.

I will also take this opportunity to overview some of our student projects with the Mathematics and Engineering Analysis group at Boeing-Bellevue, and other areas of interest in our interdisciplinary mathematics program.

Additional Details

Tuesday, 18 February 2003
4:10 p.m. in Math 109
Coffee/treats at 3:30 p.m. Math 104 (Lounge)

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