This part of the paper is aimed at the development of models for the drill tip’s transverse and angular motions, the definition of models for establishing the drilled hole’s profile and, by combining these results with the dynamic force models of Part 1, the formulation of the complete model for drill skidding and wandering. An experimental verification of the models concludes the paper. For the development of the drill motion models the drill is simplified as a pretwisted beam subjected to a compressive axial load and radial forces acting on its tip. The governing equations are developed using Hamilton’s principle. Subsequently, the weak form of the governing equation is formulated to facilitate their solution by the finite element method. The corresponding boundary conditions for the motion model are also defined for three drilling phase, i.e., drill skidding, drill wandering and stabilized drilling. Based on the drill tip’s wandering locus and drill rotation, a mathematical model for describing the drilled hole’s profile is developed.
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e-mail: K-ehmann@northwestern.edu
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Technical Papers
Dynamics of Initial Penetration in Drilling: Part 2—Motion Models for Drill Skidding and Wandering With Experimental Verification
Yongping Gong,
Yongping Gong
Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208-3111
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Cheng Lin,
Cheng Lin
Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208-3111
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Kornel F. Ehmann
e-mail: K-ehmann@northwestern.edu
Kornel F. Ehmann
Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208-3111
Search for other works by this author on:
Yongping Gong
Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208-3111
Cheng Lin
Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208-3111
Kornel F. Ehmann
Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208-3111
e-mail: K-ehmann@northwestern.edu
Contributed by the Manufacturing Engineering Division for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received January 7, 2002; revised January 15, 2004. Associate Editor: M. Davies.
J. Manuf. Sci. Eng. May 2005, 127(2): 289-297 (9 pages)
Published Online: April 25, 2005
Article history
Received:
January 7, 2002
Revised:
January 15, 2004
Online:
April 25, 2005
Citation
Gong , Y., Lin , C., and Ehmann, K. F. (April 25, 2005). "Dynamics of Initial Penetration in Drilling: Part 2—Motion Models for Drill Skidding and Wandering With Experimental Verification ." ASME. J. Manuf. Sci. Eng. May 2005; 127(2): 289–297. https://doi.org/10.1115/1.1852568
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