Published September 23, 2025 | Version v1

NATURAL FREQUENCIES OF WAVES IN HELICAL SPRINGS

Description

This paper investigates the natural frequencies of vibrations in
helical springs using both theoretical and computational approaches. Springs are one
of the fundamental elastic elements in machines and mechanisms, with their primary
functions being to absorb loads and reduce vibrations. Accurate determination of
natural frequencies is essential for ensuring the efficiency and safety of machines.
The paper presents a mathematical model, a computational scheme, and the obtained results

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References

  • 1. Esanov, N. Q., & Saipnazarov, J. M. (2024). Effect of moving load on a cylindrical shell with an elastic filler. // Modern Innovations, Systems and Technologies, 4(4), 0301–0309. https://doi.org/10.47813/2782-2818-2024-4-4-0301-0309. 2. Esanov, N. Q., & Saipnazarov, J. M. (2024) On propagation of natural waves in viscoelastic media. 3. Esanov N.K., Almuratov SH.N., Saipnazarov, J. M., Ishmamatov M, Raxmonova G.X. Free Vibrations of a Spherical shell with a Pinched Edge. 4. Yunusov G. G.; Esanov N. Q.; Almuratov Sh. N.; Ablokulov Sh.; Sobirov R. On numerical simulation of vibrations in radio-electronic structures. 5. Esanov, N. Q., Natural and forsed osculations of pipelines in contact with the Wincler medium. 401 6. Safarov I.I., Esanov, N. Q., & Saipnazarov, J. M. Sh.F.Xalilov. Колебания плоской вязкоупругой спиральной пружины. 7. Love A.E.H. A treatise on the mathematical theory of elasticity. Cambridge University Press, 1927. 8. Timoshenko S., Young D.H., Weaver W. Vibration problems in engineering. Wiley, 1974.