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TECHNICAL PAPERS

The Parametric Resonance Instability in a Drilling Process

[+] Author and Article Information
Bo-Wun Huang1

Department of Mechanical Engineering, Cheng Shiu University, 840 Cheng Ching Road, Niaosung, Kaohsiung, Taiwanhuangbw@csu.edu.tw

Jao-Hwa Kuang

Department of Mechanical and Electromechanical Engineering, National Sun Yat-Sen University, Kaohsiung 80424, Taiwankuang@mail.nsysu.edu.tw

1

Corresponding author.

J. Appl. Mech 74(5), 958-964 (Jan 04, 2007) (7 pages) doi:10.1115/1.2722768 History: Received June 15, 2005; Revised January 04, 2007

This study investigates dynamic instability in a high-speed drilling process. A pretwisted beam is used to simulate the drill. The time-dependent nature of the thrust force and the drilling depth is considered in the equation of motion of the drill. A moving Winkler-type elastic foundation assumption is applied to the drill tip to approximate the time-varying boundary conditions in the drilling process. Galerkin’s method is used to formulate the characteristic equation in a discrete form. The variation of the instability regions of the drill system is solved and analyzed by employing the multiple-scales perturbation method. The numerical results indicate that the unstable regions suddenly enlarge and shift toward a lower frequency when the drill first contacts the work piece. The effects of the rotational speed, pretwisted angle, and thrust force of the drill on the variation of the dynamic instability in high-speed drilling are also studied and are found to be highly influential.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic of drill considered in current drilling process

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Figure 2

Variation of lowest natural frequency of drill in drilling process

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Figure 3

Dynamic response of drill in drilling process

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Figure 4

Variation in instability zone of drill during drilling process

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Figure 5

Variation in the instability regions for different axial thrust load with different feed velocity

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Figure 6

Variation in instability zone of drill with different pretwisted angles

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Figure 7

Variation in instability zone of drill with different drilling speeds

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