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Stability and nonlinear dynamic behavior of drilling shaft system in copper stave deep hole drilling

  • Ling-fei Kong (孔令飞)Email author
  • Yan Li (李言)
  • Yan-jun Lü (吕延军)
  • De-xin Li (李德信)
  • Shu-juan Li (李淑娟)
  • Ao-fei Tang (汤奥斐)
Article

Abstract

The stability and nonlinear dynamic behavior of drilling shaft system in copper stave deep hole drilling were analyzed. The effects of the fluctuation of the cutting force, the mass eccentricity and the hydrodynamic forces of cutting fluid could be taken into consideration in the model of drilling shaft system. Based on the isoparametric finite element method, the variational form of Reynolds equation in hydrodynamic fluid was used to calculate nonlinear hydrodynamic forces and their Jacobian matrices simultaneously. In the stability analysis, a new shooting method for rapidly determining the periodic orbit of the nonlinear drilling shaft system and its period was presented by rebuilding the traditional shooting method and changing the time scale. Through the combination of theories with experiment, the correctness and effectiveness of the above methods are verified by using the Floquet theory. The results show that the mass eccentricity can inhibit the whirling motion of drilling shaft to some extent.

Key words

copper stave deep hole drilling drilling shaft nonlinearity bifurcation 

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Copyright information

© Central South University Press and Springer-Verlag GmbH 2009

Authors and Affiliations

  • Ling-fei Kong (孔令飞)
    • 1
    Email author
  • Yan Li (李言)
    • 1
  • Yan-jun Lü (吕延军)
    • 1
  • De-xin Li (李德信)
    • 1
  • Shu-juan Li (李淑娟)
    • 1
  • Ao-fei Tang (汤奥斐)
    • 1
  1. 1.School of Mechanical and Instrumental EngineeringXi’an University of TechnologyXi’anChina

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