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On Issue of Verifying New Method for Studying Dynamics of Deep Hole Machining

  • L. MironovaEmail author
  • L. Kondratenko
  • V. Terekhov
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

The article outlines the principles for constructing a mathematical model for the study of dynamic phenomena of deep holes machining. A theoretical justification is given for using the differential equation of the angular momentum for torsional vibrations. A solution of a second-order partial differential equation using the Laplace integral transform method is presented. Two ordinary differential equations are introduced, which sufficiently describe the relationship between the angular acceleration and the gradient of the change in tangential stress in the rod and the rate of change in voltage with the gradient of the angular velocity of motion. These equations allow us to calculate the frequency characteristics of the drive as applied to the technology of deep hole machining using the boring and trepanning association (BTA) method. The correctness of the mathematical formulations of the new research method is justified by the verification of the solutions obtained using classical calculation methods and models.

Keywords

Deep hole Drill Rotary drive Rod Motion speed Shear stress Laplace transform Torsional vibrations 

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)MoscowRussia
  2. 2.State Science Center RF of TsNIITMashMoscowRussia

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