FREQUENCY ANALYSIS DURING NON-STATIONARY INTERACTION OF TWO-LAYER VISCOSE ELASTIC SHELL WITH VISCOSE LIQUID

Authors

  • Sherzod Narkazakovich ISROILOV Navoi University of Innovation
  • Ikrom Nurali o’g’li AMIROV Navoi University of Innovation
  • Khudoynazar Norim o’g’li AKHATOV Samarkand State University

DOI:

https://doi.org/10.56378/NHSU20240227

Abstract

The Purpose of the Study is to study the relationship between frequency and wave number using the equation of torsional vibrations, in particular, in the interaction of a two-layer viscoelastic shell with the outer layer of the viscoelastic body and the inner layer of the viscoelastic body, which is elastic. The Research Methodology.  To study the problem and formulate conclusions, methods of analysis, description and synthesis of data were used. The Scientific Novelty. A mathematical model of physical nonlinear torsional oscillations of circular conical shell and stern was developed taking into account the physical nonlinear relations of H. Kauder. The Conclusion. As equations of torsional vibrations of a two-layer cylindrical shell, the equations derived by the authors in their previous works for the viscoelastic case were obtained, from which frequency equations were obtained for the case when the surface of the shell is under stress -free, and they were solved using the Maple 17 program. The graphs were analyzed for cases with different materials and thicknesses of the edge and middle layers.

Author Biographies

Sherzod Narkazakovich ISROILOV, Navoi University of Innovation

Teacher of the department, Faculty of Technology “Natural and exact sciences”

Ikrom Nurali o’g’li AMIROV, Navoi University of Innovation

Teacher of the department, Department of social and humanitarian sciences, Faculty of Pedagogy and Language Teaching

Khudoynazar Norim o’g’li AKHATOV , Samarkand State University

PhD student, Institute of Engineering Physics

References

Khayrulla, K., Gadayev, A. and Akhatov, Kh. (2023). Тorsional vibrations of a rotating viscoelastic rod, E3S Web of Conferences 365 https://doi.org/10.1051/e3sconf/202336502016 [in English]

Khalmuradov, R., Khudoynazarov, K., Nishanov, U. (2022). Elastic-plastic deformation of a round plate reinforced with stiffeners. Magazine of Civil Engineering. 116(8). Article no. 11613. doi: 10.34910/MCE.116.13 [in English]

Farshidianfar, A., Oliazadeh, P. (2012). Free Vibration Analysis of Circular Cylindrical Shells: Comparison of Different Shell Theorie. International Journal of Mechanics and Applications, 2(5): 74-80. [in English]

Khayrulla Khudoynazarov, Dilshod Kholikov and Jamshid Abdurazakov. (2022). Torsional vibrations of a conical elastic shell, AIP Conference Proceedings, 2637, 030024; doi: 10.1063/5.0118846 [in English]

Filippov , S. B., Smirnov, A. L, Nesterchuk, G. A. (2023). Sobstvennyye kolebaniya tsilindricheskoy obolochki s kryshkoy [Natural vibrations of a cylindrical shell with a lid.] I. Asimptoticheskiy analiz. Vestnik SPbGU. Matematika. Mekhanika. [in Russian]

Botogova, M.G., Mikhasev, G.I., Korchevskaya, Y.A. (2006). Svobodnyye kolebaniya sloistykh vyazkouprugikh tsilindricheskikh obolochek [Free vibrations of layered viscoelastic cylindrical shells]. Vestnik Polotskogo gosudarstvennogo universiteta.. [in Russian]

Filippov, I. G. and Kudainazarov, K. (1990). General transverse vibrations equations for a circular cylindrical viscoelastic shell. Soviet Applied Mechanics, 26(4), 351–357. doi:10.1007/bf00887127. [in English]

Khalmuradov, R.I., Ismoilov, E.A. (2020). Nonlinear vibrations of a circular plate reinforced by ribs. IOP Conf. Series: Earth and Environmental Science 614 012071 doi:10.1088/1755-1315/614/1/012071. [in English]

Khalmuradov, R.I., Yalgashev, B.F. (2020). Frequency analysis of longitudinal-radial vibrations of a cylindrical shell. IOP Conf. Series: Earth and Environmental Science 614 012087 doi:10.1088/1755-1315/614/1/012087. [in English]

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Published

2023-12-30

How to Cite

ISROILOV, S. N. ., AMIROV, I. N. o’g’li ., & AKHATOV , K. N. o’g’li . (2023). FREQUENCY ANALYSIS DURING NON-STATIONARY INTERACTION OF TWO-LAYER VISCOSE ELASTIC SHELL WITH VISCOSE LIQUID. INNOVATIONS IN THE SCIENTIFIC, TECHNICAL AND SOCIAL ECOSYSTEMS, 1(8), 18−26. https://doi.org/10.56378/NHSU20240227