Vibrations in engineering and technology

Kovtun Anatoly Candidate of Technical Sciences, Associate Professor Department of Logistics Management National Academy of National Guard of Ukraine (Defenders of Ukraine Square, 3, Kharkiv, 61001, Ukraine) e-mail: kav-60@ukr.net; ORCID ID: https:// https:ORCID.ORG/0000-0002-8427-1005. Моб.  +38(097) 708-04-41.

The article investigates the vibration effects that arise when vibration acts on mechanical systems, the constituent elements of which are interconnected by dry friction forces, which lead to changes in the properties and behavior of the system. Such structures, some of the constituent elements of which are located inside the others and are interconnected, at least on two opposite surfaces, by dry friction forces are called nested. Nested structures are found quite often in modern technology: transportation of goods, fastening of pipelines, braking devices of machines, etc. The object of the study is the effect of changing the effective coefficients of dry friction in the process of interaction of the constituent elements of nested structures, when forced vibrations act on them.

Based on the method of mathematical modeling, new analytical relationships were obtained for determining the effective coefficients of dry static friction between the elements of nested structures. As a result of conducting research on the processes of interaction of the constituent elements of nested structures under the action of forced vibrations on the structures, a new effect of changing the effective coefficients was determined coefficients of dry friction between them. The results of the study allow us to conclude that that nested structures are characterized by a special dependence of the effective coefficients of dry friction on the frequency of forced oscillations, which consists in the fact that with an increase in the frequency of forced oscillations, the effective coefficients of dry friction at rest between the elements of nested structures tend to a finite value (non-zero), in contrast to the classical calculation scheme, when the body is in contact with a vibrating plane with one surface. By changing the value of the frequency of the external action, it is possible to achieve a change in the value of the effective coefficient of dry static friction, which reflects the final result of the interaction of the contacting surfaces that perform periodic movements.

The conducted experimental studies confirmed the dependence of the effective dry friction coefficients of nested structures on the frequency of forced oscillations.

The results obtained can be used in the creation of vibration systems for moving loads over distances exceeding the capabilities of existing vibration systems.

1. Кondrachuk M.V., Chabutel V.F., Pashechko M.I. & Korbut E.V. (2009). Тrybologiy [Tribology] К.:NAU-druk [in Ukrainian].

2. Obertuyh R. R. & Slabkyy A.V. (2025).Trybotehnika mashynobudivnoi galuzi [Tribotechnology in the mechanical engineering industry] Vinnytsia: VNTU [in Ukrainian].

3. Antypenko A.M. & Voytov V.A. (2008). Оsnovy trybologii [Basics of tribology] Kharkiv :HNTUSG [in Ukrainian].

4.  Maksymenko O.P. & Leyko O.E. (2005). Оsnovy trybologii [Basics of tribology] Dnipro:DDTU [in Ukrainian]. 

5. Dmytrichenko М. F., Mnazhakanov R. G. & Mikosyanchyk О. О. (2006). Trybotehnika  ta osnovy nadiynosti mashyn [Tribotechnics and fundamentals of machine reliability] К. : Іnforavtоdоr [in Ukrainian].

6. Charlamov Yu. O. (2021). Trybotehnika  i nadiynist mashin [Tribotechnology and machine reliability] Severodoneck : SNU [in Ukrainian].

7. Kosenko V.А., Kushevska N.F., Dobrovolskiy О.G. & Malishev О. О. (2016).  Suchasni aspekty  trybologii u transportnyh zasobah [Modern aspects of tribology in vehicles] К.: Universytet  «Ukrainа» [in Ukrainian].

8. Zakalov O.V. &  Zakalov I. O. (2011).Оsnovy tertya i znoshuvannya v mashynah [Basics of friction and wear in machines] Ternopil: TNTU [in Ukrainian]. 

9. Korunyak P. S., Kernytskyi I. S., & Nishchenko I. I. (Ed) (2021) Avtomatyzovane vibratiyne manipulyuvannya vyrobamy ta  vibromanipulatory [Automated vibration manipulation of products and vibration manipulators]. Lviv: Spolom [in Ukrainian].

10. Plahtienko M.P. & Zabuga А. G. (2015)  Neliniyna  model frikciyno udarnoudarnoivzayemodiy tverdogo tila  z tverdoyu  shorstkoyu ploshinoyu [Nonlinear model of frictional impact interaction of a solid body with a solid rough plane]  Doslidzhennya v matematytci і mechanitci,  T. 20, № 2 (26). С. 26– 42 [in Ukrainian]. 

11. Legeza V. P. (2021) Dynamichni protcesy  v mechanichniy systemi  z amortyzatciynymi vantazhoopornymy vuzlamy  іz suhym tertyam [Dynamic processes in a mechanical system with shock-absorbing load-bearing units with dry friction] Prikladna mechanica, 4, 96 - 109 [in Ukrainian].

 12. Povidaylo V.O. (2004). Vibratiyni procesy ta obladnannya [Vibrational processes and equipment]. Lviv: National University "Lviv Polytechnic" [in Ukrainian].

13. Omelyanov O. M., & Zamriy M. A. (2020). Napryamky pidvyshennya efektyvnosti roboty vibratsiynych technologichnych mashyn [Directions for increasing the efficiency of vibration technological machines]. Vibracyi v tehnici ta tehnologiyah, 4 (99), 49-58. DOI: 10.37128/2306-8744-2021-4-7 [in Ukrainian].

14.  Kovtun A. V., Kupin S.P. & Zhelnovach О.О. (2025).Vibraciyne peremishenny vkladenych konstrukchiy [Vibrational movement of nested structures]. Vibracyi v tehnici ta tehnologiyah, 1(116), 32–39  [in Ukrainian].