ELIMINATING TRANSVERSE VIBRATIONS ON AN ELASTIC BEAM USING DAMPERS

Authors

  • A.E.Kudratov Author
  • J.N.Kuljonov Author

Keywords:

Keywords. Elastic beam, Laplace operator, bending moment, dynamic vibration damper, transverse vibrations, amplitude-frequency response

Abstract

Abstract. This article examines the optimization of the parameters of an elastic beam with dynamic vibration dampers during transverse vibrations. Methods for damping transverse vibrations in the elastic beam under consideration were analytically found. In particular, the change in the optimal parameters of the system under consideration is analyzed depending on the mass ratio and changes in the installation locations of dynamic vibration dampers. The article discusses the optimization of the parameters of a system of elastic beams under stationary vibrations with two dynamic vibration dampers. The solution to the problem of transverse vibrations of a beam with two parallel installed dynamic vibration dampers is considered, using the method of series expansion in vibration modes. This method is more convenient for optimizing the parameters of dynamic vibration dampers for various types of beam vibrations with boundary conditions, when it is necessary to repeatedly calculate the amplitude-frequency characteristics of the system.

References

[1] E. Briskin, Damping of vibrations of mechanical systems by cavities partially filled with friable media // Published 1 February 1981, Engineering, Physics, Soviet Applied Mechanics. DOI: 10.1007/BF00886505.

[2] Korenev, B.G. and Reznikov, L.M. (1988) Dynamic Dampers of Vibrations (Theory and Technical Propositions). Nauka, Moscow, 108 p.

[3] E. J. Haug and J. A. Arora. Applied Optimal Design. John Wiley & Sons Ltd, Chichester. 1979. 520 pp. Published online by Cambridge University Press: 04 July 2016;

[4] V. Shpachuk, A. Rubanenko, Y. Vashchenko O.M. Beketov. Influence of mechanical and structural parameters of the rod with mass damper on the natural frequencies of transverse vibrations. 2017, № 134 ISSN 0869-1231.

[5] Bakhriev, N.F., Qurolova, N.R. Composite Wave Sheets from Basalt Fiber for Pitched. Lecture Notes in Civil Engineering, 2024, 369, 3–17 pp.

[6] Bakhriev, N.F., Odilova, G.S., Full-Scale Testing of an Alternative Energy Converting Installation. Advances in Transdisciplinary Engineering, 2023, 43, 1274–1279 pp.

[7] Bakhriev, N.F., Fayzillaev, Z., Modeling the Optimal Compositions of Dry Gypsum Mixtures with Bio-Vegetable Fillers, Research of their Adhesion Properties. AIP Conference Proceedings, 2022, 2657, 020029.

[8] Bakhriev, N.F., et al. Investigations of the Microstructure of the Contact Zone Between Bricks and Masonry Mixtures in Seismic Regions, Lecture Notes in Civil, 2022, 201, 107–117 pp.

[9] M. H. Zainulabidin, N. Jaini. Vibration Analysis of a Beam Structure Attached with a Dynamic Vibration Absorber. Published 1 April 2013. Engineering, Applied Mechanics and Materials. 3 DOI: 10.4028/www.scientific.net/AMM.315.315, Corpus ID: 108440341.

[10] Igor Ananievski, Damping of vibrations of an elastic beam by means of an active dynamic damper in the presence of disturbances. International Journal of Non-Linear Mechanics Volume 150, April 2023, 104344. https://doi.org/10.1016/j.ijnonlinmec.2022.104344.

[11] Darya Provornaya, et al. Damping of vertical and horizontal transverse vibrations in the bridge span structures, MATEC Web of Conferences 216, 01015 (2018), https://doi.org/10.1051/matecconf/201821601015.

[12] Akulenko L.D. et al. Active damping of vibrations of large-sized load-carrying structures by moving internal masses. J. Comput. Syst. Sci. Int. (2000);

[13] Ivanov Pavel, The research of vibrations of the beam with the attached system of mass-spring-damper using functions Timoshenko. January 2016MATEC Web of Conferences 86:01025

DOI:10.1051/matecconf/20168601025.

[12] M Mirsaidov et al. Damping of high-rise structure vibrations with viscoelastic dynamic dampers, Web of Conferences 224, 02020 (2020),

https://doi.org/10.1051/e3sconf/202022402020.

Published

2025-06-25

How to Cite

A.E.Kudratov, & J.N.Kuljonov. (2025). ELIMINATING TRANSVERSE VIBRATIONS ON AN ELASTIC BEAM USING DAMPERS. World Scientific Research Journal, 40(2), 210-217. https://scientific-jl.com/wsrj/article/view/22948