BESSEL EQUATION

Authors

  • Donitor G’afurovich Rayimov PhD, Associate Professor, Department of General Technical Sciences, Asia International University

Keywords:

nonlinear oscillations, rigid body, vibration, Lagrange equations, viscoelastic support, degree of freedom

Abstract

This paper examines the nonlinear oscillations of a rigid body mounted on viscoelastic supports. The equations of motion of the system are derived from Lagrange’s equations of the second kind for systems with a finite number of degrees of freedom. A solution method for the problem is developed, numerical results are obtained, and the influence of nonlinearity on displacement amplitudes is evaluated.

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References

Vibrations in technology: Handbook: In 6 volumes. Vol. 6. Protection from vibrations and shocks M.: Mechanical Engineering, 1981. 456 p.

Tokarev M. F., Talitsky E. N., Frolov V. A. Mechanical effects and protection of electronic equipment: Textbook for universities. Moscow: Radio and Communications, 1984. 224 p.

Nashif A., Jones D., Henderson J. Vibration damping. Moscow: Mir Publ., 1988.-448 p.

Teshaev M. K., Safarov I. I., Mirsaidov M. Oscillations of multilayer viscoelastic composite toroidal pipes // Journal of the Serbian Society for Computational Mechanics. 2019. Vol. 13, No. 2. P. 104-115. DOI: 10.24874/jsscm.2019.13.02.08.

Gludkin O. P. Methods and devices of testing RES and EVS. M.: Higher School, 1991.-336s.

Gludkin O. P., Engalychev A. N., Korobov A. I., Tregubov Yu. V. Tests of radioelectronic, electronic computing equipment and test equipment. Moscow: Radio and Communications, 1987. 272 p.

Lysenko A.V., Goryachev N. V., Grab I. D., Kemalov B. K., Yurkov N. K. A brief overview of simulation modeling methods // Modern information technologies. 2011. No. 14. pp. 171-176.

Fedorov V., Sergeev N., Kondrashin A. Control and testing in the design and manufacture of radioelectronic devices. Moscow: Technosphere, 2005. 502 p., Metrology and certification, 1999. 35 p .

Kalenkovich N. I. Radio electronic equipment and the basics of its design: an educational and methodological guide for students of special education. "Modeling and computer-aided design" and "Design and production of thermal power plants". Minsk: BGUIR, 2008. 200 p.

Yurkov N. K. Technology of electronic means. Penza: Publishing House of PSU, 2012. 640 p.

Kofanov Yu. N., Shalumov A. S., Zhuravsky V. G., Goldin V. V. Mathematical modeling of radioelectronic devices under mechanical influences. Moscow: Radio and Communications, 2000. 226 p.

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Published

2025-10-14

How to Cite

Donitor G’afurovich Rayimov. (2025). BESSEL EQUATION. Journal of Applied Science and Social Science, 15(10), 641–646. Retrieved from https://www.internationaljournal.co.in/index.php/jasass/article/view/2088

Issue

Vol. 15 No. 10 (2025): Volume 15 Issue 10

Section

Articles

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