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Received 05.09.2021

Revised 16.01.2022

Accepted 15.02.2022

Retrieved from Vol. 26, No. 1, 2022

Pages 121 -126

  • 124 Views

Suggested citation

Gorbunovich, І., & Solov’ev, І. (2022). Bifurcation states of super long rotating rods with centralizers. The National Transport University Bulletin, 26(1), 121-126. https://doi.org/10.33744/2308-6645-2022-1-51-121-126

Bifurcation states of super long rotating rods with centralizers

І. Gorbunovich І. Solov’ev

Abstract

The article deals with a super long elastic tubular vertical rod with centralizers embedded in its lower part and an internal fluid flow. The reasons of appearance of bifurcation protrusion of the rod are stated. Among these reasons, an internal longitudinal force, torque, inertia forces rotating rods, inertia forces of internal fluid flow are identified and described as main ones. The purpose of the study is to detect the beginning of bifurcation states of rods with centralizers. Research methods are based on the construction of singularly perturbed multi-point boundary-value problems determining the stress-strain state and stability of the rod. Applying decomposing approach, the beginning of bifurcation states of rods with centralizers are detected.

 

Keywords:

super long rod; rotational motion; internal fluid flow; centralizers; longitudinal force; torque; multi-point boundary problem; bifurcation states; method of decomposition

References

  1. Gulyayev V. I., Gaydaychuk V. V., Solov’ev I. L., Gorbunovich I. V. (2006). Kvavzistaticheskie kriticheskie sostoyaniya kolonn glubokogo bureniya [Quasistatic and critical states of deep drilling columns]. Problemy Prochnosti – Journal Strength of Materials, 5, 109–119 [in Russian].
  2. Gulyayev V. I. Analysis of rotating drill column length influence on stability of its quasistatic equilibrium / V. I. Gulyayev, P. Z. Lugovoy, V. V. Gaydaychuk, I. L. Solov’ev, I. V. Gorbunovich // Int. Appl. Mech. – 2007. – 43. – № 9 (12). – P. 83–92.
  3. Gulyayev V. I. The buckling of elongated rotating drill strings / V. I. Gulyayev, V. V. Gaidaichuk, I. L. Solov’ev, I. V. Gorbunovich // J. Petr. Sci. Eng. – 2009. No. 67. – P. 140–148.
  4. Gorbunovich I. V., Levkovskaia L. V. [2018]. Izuchenie problemyi vyiyavleniya kriticheskih rezhimov funktsionirovaniya burilnyih kolonn v vertikalnyih i krivolineynyih skvazhinah [Investigation of the problem of detection of critical parameters of operation of drill columns in vertical and curvilinear wells]. Visnyk Natsionalnoho Transportnoho Universytetu. Seriia «Tekhnichni Nauky». Naukovo-Tekhnichnyi Zbirnyk – Visnyk of National Transport University. «Technical sciences» series. Scientific and Technical collection, 1(40), 90–97 [in Russian].
  5. Gorbunovich I. V. (2010). Bifurkatsiini vypynannia obertovykh hiperdovhykh stryzhniv z vnutrishnim potokom ridyny [Bifurcation projections of rotating super long strings with internal fluid flow]. Visnyk Natsionalnoho Transportnoho Universytetu – Visnyk National Transport University, 21, 310–314 [in Ukrainian].
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https://doi.org/10.33744/2308-6645-2022-1-51-121-126

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