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

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Proceedings of the 5th International Conference on Industrial Engineering (ICIE 2019) (ICIE 2019)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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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.

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References

  1. Kondratenko LA (2005) Vibrations and speed regulation methods of movement of technological objects. MRSU, Moscow

    Google Scholar 

  2. Terechov VM, Kondratenko LA, Mironova LI (2016) Some dynamic features of interaction the cutting part of the gun drill with the detail. Eng Autom Probl 4:78–84

    Google Scholar 

  3. Kondratenko L, Mironova L, Terekhov V (2017) Investigation of vibrations during deepholes machining. 25th International Conference Vibroengineering, Liberec, May 2017. Vibroengineering Procedia 11:7–11. https://doi.org/10.21595/vp.2017.18285

    Article  Google Scholar 

  4. Kondratenko LA (1987) Fluctuations in the bit rotation frequency while simultaneous drilling by the rotor and downhole hydraulic machines. Mach Sci 4:44–52

    Google Scholar 

  5. Sedov LI (1970) Continuum mechanics. Nedra, Moscow

    MATH  Google Scholar 

  6. Kondratenko LA, Terekhov VM, Mironova LI (2017) About one method of research torsional vibrations of the core and his application in technologies of mechanical engineering. Eng Autom Probl 1:133–137

    Google Scholar 

  7. Kondratenko LA (2008) Calculation of velocity variations and stresses in machine assemblies and components. Sputnik, Moscow

    Google Scholar 

  8. Kondratenko L, Mironova L, Terekhov V (2017) On the question of the relationship between longitudinal and torsional vibrations in the manufacture of holes in the details. 26th Conference in St. Petersburg, June 2017. Vibroengineering Procedia 12:6–11. https://doi.org/10.21595/vp.2017.18461

    Article  Google Scholar 

  9. Kondratenko L, Dmitriev V, Mironova L (2017) Simulation of a drive with a long connecting link. 26th International Conference Vibroengineering, St. Petersburg, June 2017. Vibroengineering Procedia 12:231–236. https://doi.org/10.21595/vp.2017.18743

    Article  Google Scholar 

  10. Kondratenko LA, Mironova LI (2018) Imitation of nonlinear drives with distributed parameters of power lins. Eng Autom Probl 1:92–97

    Google Scholar 

  11. Kondratenko L, Mironova L (2018) Features of loss of stability of the work of two-link mechanisms that have an infinite number of degrees of freedom. J Math Eng Manag Sci 3(4):315–334

    Google Scholar 

  12. Babakov IM (1958) Theory of oscillations. GTTL, Moscow

    Google Scholar 

  13. Kondratenko L, Terekhov V, Mironova L (2016) The aspects of roll-forming process dynamics. 22nd International Conference Vibroengineering, Moscow, October 2016. Vibroengineering Procedia, 460–465

    Google Scholar 

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Author information

Authors and Affiliations

  1. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 31, Kashirskoe Sh., Moscow, 115409, Russia

    L. Mironova & V. Terekhov

  2. State Science Center RF of TsNIITMash, 4, Sharikopodshipnikovskaya Str., Moscow, 115088, Russia

    L. Kondratenko

Authors
  1. L. Mironova
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  2. L. Kondratenko
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  3. V. Terekhov
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Corresponding author

Correspondence to L. Mironova .

Editor information

Editors and Affiliations

  1. South Ural State University, Chelyabinsk, Russia

    Andrey A. Radionov

  2. Platov South Russian State Polytechnic University, Novocherkassk, Russia

    Oleg A. Kravchenko

  3. South Ural State University, Chelyabinsk, Russia

    Victor I. Guzeev

  4. South Ural State University, Chelyabinsk, Russia

    Yurij V. Rozhdestvenskiy

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Mironova, L., Kondratenko, L., Terekhov, V. (2020). On Issue of Verifying New Method for Studying Dynamics of Deep Hole Machining. In: Radionov, A., Kravchenko, O., Guzeev, V., Rozhdestvenskiy, Y. (eds) Proceedings of the 5th International Conference on Industrial Engineering (ICIE 2019). ICIE 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-22063-1_17

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  • DOI: https://doi.org/10.1007/978-3-030-22063-1_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-22062-4

  • Online ISBN: 978-3-030-22063-1

  • eBook Packages: EngineeringEngineering (R0)

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