Actual problems of mechanics and their application in engineering. Report by the laureate of the 2023 M.V. Lomonosov grand gold medal of the russian academy of sciences

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Abstract

The report, presented at the General Meeting of the Russian Academy of Sciences on May 28, 2024, is devoted to a wide range of problems in mechanics closely related to the creation of engineering structures. The author outlined the problems of mechanics of precise gyroscopic systems, the results of constructing a new model of dry friction forces that satisfies strict analysis. Using this model, it is possible to give an adequate explanation of the shimmy phenomenon. Particular attention is paid to the development of the theory of non-Newtonian fluid flow (Bingham fluids) and the theory of geo-loosening, as well as the theory of a wave solid-state gyroscope and a new phenomenon in mechanics – processive standing waves.

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About the authors

D. M. Klimov

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences

Author for correspondence.
Email: klimov@ipmnet.ru

академик РАН, председатель Объединённого научного совета РАН по механике

Russian Federation, Moscow

References

  1. Климов Д.М. Исследование уходов астатического гироскопа в кардановом подвесе на качающемся основании // Известия АН СССР. Механика и машиностроение. 1963. № 5. С. 11–16. Klimov D.M. A study of the care of an astatic gyroscope in a Cardan suspension on a swinging base // Izvestiya AN SSSR. Mechanics and mechanical engineering. 1963, no. 5, pp. 11–16. (In Russ.)
  2. Климов Д.М. Об условиях невозмущаемости гироскопической рамы // Прикладная математика и механика. 1964. Т. 28. Вып. 3. С. 511–513. Klimov D.M. On the conditions of non-perturbation of a gyroscopic frame // J. Appl. Math. Mech. 1964, vol. 28, no. 3, pp. 626–629. https://doi.org/10.1016/0021-8928(64)90104-2
  3. Журавлёв В.Ф., Климов Д.М. О механизме явления шимми // Доклады АН. 2009. Т. 428. № 6. С. 761–764. Zhuravlev V.F., Klimov D.M. The causes of the shimmy phenomenon // Doklady RAS. Physics. 2009, vol. 54, no. 10, pp. 475–478. https://doi.org/10.1134/S1028335809100097 (In Russ.)
  4. Баничук Н.В., Карпов И.И., Климов Д.М. и др. Механика больших космических конструкций. М.: Факториал, 1997. Banichuk N.V., Karpov I.I., Klimov D.M. et al. Mechanics of large space structures. M.: Factorial, 1997. (In Russ.)
  5. Гноевой А.В., Климов Д.М., Чесноков В.М. Основы теории течений бингамовских сред. М.: Физматлит, 2004. Gnoevoy A.V., Klimov D.M., Chesnokov V.M. Fundamentals of the theory of flows of Bingham media. M.: Fizmatlit, 2004. (In Russ.)
  6. Карев В.И., Климов Д.М., Коваленко Ю.Ф., Устинов К.Б. О разрушении осадочных горных пород в условиях сложного трёхосного напряжённого состояния // Известия РАН. Механика твёрдого тела. 2016. № 5. С. 15–21. Karev V.I., Klimov D.M., Kovalenko Yu.F., Ustinov K.B. Fracture of Sedimentary Rocks under a Complex Triaxial Stress State // Mech. Solids. 2016, vol. 51 (5), pp. 522–526. http://doi.org/10.3103/S0025654416050022 (In Russ.)
  7. Климов Д.М., Журавлёв В.Ф., Жбанов Ю.К. Кварцевый полусферический резонатор (волновой твердотельный гироскоп). М.: Изд-во Ким Л.А., 2017. Klimov D.M., Zhuravlev V.F., Zhbanov Yu.K. Quartz hemispherical resonator (wave solid-state gyroscope). Moscow: Publishing house of Kim L.A., 2017. (In Russ.)

Supplementary files

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2. Alexey Nikolaevich Krylov (1863–1945)

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3. Boris Vladimirovich Bulgakov (1900–1952)

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4. Viktor Ivanovich Kuznetsov (1913–1991)

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5. Nikolai Alekseevich Pilyugin (1908–1982)

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6. Alexander Yulievich Ishlinsky (1913–2003)

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7. Dmitry Sergeevich Pelpor (1917–1996)

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8. Fig. 1. Model of a gyroscope in a gimbal suspension

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9. Fig. 2. Aircraft chassis

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10. Fig. 3. Cover of the book by D.M. Klimov, V.F. Zhuravlev, Yu.K. Zhbanov “Quartz hemispherical resonator (solid-state wave gyroscope)”

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