The original purpose of this work was to propose an equation system to describe the kind of drilling in which the tools are with pronounced shaft length. The equation system turned out to disclose the low frequency mechanism of hole lobes. The proposed system is composed of Euler-Bernoulli beam equation representing tool shaft, and an excitation force in form of Fourier series. An empirical cutting force was established and related cutting force components were calculated. And the accumulated contribution of modes and harmonics was evaluated. The solution for the proposed equation system allowed a prediction of hole roundness which was consistent with experimental results for different conditions. The solution also allowed an investigation into the waviness and lobes. The results suggested that the bizarre phenomenon of lobes on hole is in reality waviness described by Tlusty for milling. The rigorous mathematical nature of the proposed equation built solid foundation for former empirical observation of waviness and lobes on work pieces.
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August 2004
Technical Papers
Roundness Errors in BTA Drilling and a Model of Waviness and Lobing Caused by Resonant Forced Vibrations of Its Long Drill Shaft
Chyn-Shu Deng,
Chyn-Shu Deng
Department of Mechanical Engineering, National Lien-Ho University, Miaoli, Taiwan, Republic of China
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Jih-Hua Chin, Mem. ASME
e-mail: jhchin@mail.nctu.edu.tw
Jih-Hua Chin, Mem. ASME
Department of Mechanical Engineering, National Chiao Tung University, Hsinchu, Taiwan, Republic of China
Search for other works by this author on:
Chyn-Shu Deng
Department of Mechanical Engineering, National Lien-Ho University, Miaoli, Taiwan, Republic of China
Jih-Hua Chin, Mem. ASME
Department of Mechanical Engineering, National Chiao Tung University, Hsinchu, Taiwan, Republic of China
e-mail: jhchin@mail.nctu.edu.tw
Contributed by the Manufacturing Engineering Division for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received June 2003; Revised Jan. 2004. Associate Editor: Y. C. Shin.
J. Manuf. Sci. Eng. Aug 2004, 126(3): 524-534 (11 pages)
Published Online: September 7, 2004
Article history
Received:
June 1, 2003
Revised:
January 1, 2004
Online:
September 7, 2004
Citation
Deng, C., and Chin, J. (September 7, 2004). "Roundness Errors in BTA Drilling and a Model of Waviness and Lobing Caused by Resonant Forced Vibrations of Its Long Drill Shaft ." ASME. J. Manuf. Sci. Eng. August 2004; 126(3): 524–534. https://doi.org/10.1115/1.1765142
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