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Varying bending eigenfrequencies in BTA deep hole drilling: mechanical modeling using statistical parameter estimation

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Abstract

One serious problem in deep-hole drilling is the formation of a dynamic disturbance called spiralling which causes a multi-lobe shaped distortion of the bore hole cross section. An important factor governing the occurrence of spiralling is the coincidence of a bending eigenfrequency of the boring tool with a multiple of the spindle rotation frequency. This article presents a discrete dynamic model of the tool/boring-bar assembly including a Lanchester-damper and containing free parameters for the unknown stiffness of the tools lateral supports. Furthermore, a method for estimating these parameters by determining the changing eigenfrequencies over the drilling depth from spectrogram data using the maximum likelihood method is proposed.

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Authors and Affiliations

  1. Institut für Spanende Fertigung, Baroper Str. 301, 44227, Dortmund, Germany

    Klaus Weinert & Oliver Webber

  2. Fachbereich Statistik, Universität Dortmund, Vogelpothsweg 87, 44221, Dortmund, Germany

    Claus Weihs & Nils Raabe

Authors
  1. Klaus Weinert
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  2. Claus Weihs
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  3. Oliver Webber
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  4. Nils Raabe
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Corresponding author

Correspondence to Oliver Webber.

Additional information

The work presented in this paper is financially supported by the ‘Deutsche Forschungsgemeinschaft (DFG)’ within the ‘Sonderforschungs-bereich (SFB)’ 475. It is conducted in cooperation with Lehrstuhl Computergestützte Statistik, University of Dortmund.

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Weinert, K., Weihs, C., Webber, O. et al. Varying bending eigenfrequencies in BTA deep hole drilling: mechanical modeling using statistical parameter estimation. Prod. Eng. Res. Devel. 1, 127–134 (2007). https://doi.org/10.1007/s11740-007-0004-1

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  • DOI: https://doi.org/10.1007/s11740-007-0004-1

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