Nonlinear flexural-torsional vibrations of a gundrilling tool

Alexander M. Gouskov, Eric A. Butcher, Sergey A. Voronov, Subhash C. Sinha

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The nonlinear dynamics of a tool commonly employed in deep hole drilling is analyzed. The tool is modeled as a continuous beam that vibrates in transverse and axial directions caused by cutting process. The mechanical model of cutting forces is a nonlinear function of cutting tool displacement including state variables with time delay. The equations of new surface formation are separated as a specific set. These equations naturally include the regeneration effect of oscillations under cutting and it is possible to analyze continuous and intermittent cutting involving either stationary or non-stationary processes. The vibratory drilling tool feed consists of a constant as well as a periodic component. Due to the constant component of feed, the distance between the supports of beam is regarded as a slowly varying function of time. The system includes three types of non-linearity, viz., discontinuity of cutting, nonlinear machining law, and the influence of transverse displacement of beam on axial deflection of cutting edges. Variation of machined chip thickness cause variation of axial trust force and it is an additional source of parametric excitation of system oscillations.

Original languageEnglish (US)
Title of host publicationProc. of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005
Subtitle of host publication5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
Pages971-980
Number of pages10
StatePublished - Dec 1 2005
Externally publishedYes
EventDETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Long Beach, CA, United States
Duration: Sep 24 2005Sep 28 2005

Publication series

NameProceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005
Volume6 B

Other

OtherDETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
CountryUnited States
CityLong Beach, CA
Period9/24/059/28/05

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ASJC Scopus subject areas

  • Engineering(all)

Cite this

Gouskov, A. M., Butcher, E. A., Voronov, S. A., & Sinha, S. C. (2005). Nonlinear flexural-torsional vibrations of a gundrilling tool. In Proc. of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (pp. 971-980). (Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005; Vol. 6 B).