How to cite this paper
Khalmuradov, R., Khudoynazarov, K & Ismoilov, K. (2025). Mathematical modelling of torsional vibrations of a truncated conical shell located in an elastic medium.Engineering Solid Mechanics, 13(1), 29-38.
Refrences
Alijani, F., & Amabili, M. (2014). Non-linear vibrations of shells: A literature review from 2003 to 2013. International Journal of Non-Linear Mechanics, 58, 233–257.
Aris, H., & Ahmadi, H. (2020). Nonlinear vibration analysis of FGM truncated conical shells subjected to harmonic excitation in thermal environment. Mechanics Research Communications. 104, 103499.
Bakhtiari, M., & Lakis, Y, K. (2019). Nonlinear Vibration of Truncated Conical Shells: Donnell, Sanders and Nemeth Theories. International Journal of Nonlinear Sciences and Numerical Simulation, 21(1). https://doi:10.1515/ijnsns-2018-0377.
Beridze, S. P. (1999). Free torsional vibrations of a conical rod. Vestnik ОGU, 3, 104 –107.
Filippov, I. G., & Kudajnazarov, K. (1998). Boundary value problems of longitudinal vibrations of the circular cylindrical shells. Gangue Jinzhou/Industrial Construction, 28(12), 34–40.
Khalmuradov, R, I., Khudoynazarov, Kh., & Nishanov, U, A. (2022). Elastic-plastic deformation of a round plate reinforced with stiffeners. Magazine of Civil Engineering. 116(8). https://doi: 10.34910/MCE.116.13.
Khudoynazarov, Kh. (2003). Nonstationary interaction of cylindrical shells and rods with a deformable medium. Tashkent, publishing house of med.
Khudoynazarov, Kh. (2024). Longitudinal-radial vibrations of a viscoelastic cylindrical three-layer structure. Mechanical engineering. https://doi.org/10.22190/FUME231219010K.
Khudoynazarov, Kh., & Yalgashev, B. (2021). Longitudinal vibrations of a cylindrical shell filled with a viscous compressible liquid. E3S Web of Conferences 264,02017. https://doi.org/10.1051/e3sconf/202126402017.
Khudoynazarov, Kh., Kholikov, D., & Abdurazakov, J. (2022). Torsional vibrations of a conical elastic shell. AIP Conference Proceedings, 2637, 030024. https://doi.org/10.1063/5.0118846.
Kuhudoynazarov, Kh., & Ismoilov, Kh. (2023). A mathematical model of torsional vibrations of a truncated conical layer interacting with a deformable medium. Fundamental and applied problems of engineering and technology, 6(362), 160–172.
Kushnarenko, V, M., & Beridze, S, P. (2000). Free longitudinal vibrations of a conical rod, Vestnik, 3, 83–86.
Lam, K., & Hua, L. (1997). Vibration analysis of a rotating truncated circular conical shell. International Journal of Solids and Structures, 34(17), 2183–2197.
Lugovyi, P, Z., & Skosarenko, Y, V. (2022). Vibrations of a Layered Conical Shell under Nonstationary Load. International Applied Mechanics, 58, 280–288.
Marco, A., & Prabakaran, B. (2020). Nonlinear forced vibrations of layered composite conical shells using an improved theory of shear deformation. Composite structures, 249, 112522. https://doi:10.1016 / j.compstruct.2020.112522.
Meish, V, F., Galagan, O, G., & Mel’nik, M, N. (2014). Nonaxisymmetric vibrations of conical shells of variable thickness under a nonstationary load. International Applied Mechanics, 50(3), 295–302
Meish, V, F., Meish, Y, A., & Belova, M, A. (2020). Nostationary dynamics of elliptic isotropic conical shells under distributed loads. International Applied Mechanics, 56(4), 424–431.
Qinkai, H., & Fulei, C. (2013). Effect of rotation on frequency characteristics of a truncated circular conical shell. Archive of Applied Mechanics, 83, 17890-1800. https://doi.org/10.1007/s00419-013-0778-x.
Sarkheil, S., & Mahmoud, S, F. (2016). Free vibrational characteristics of rotating joined cylindrical-conical shells. School of Mechanical Engineering. Sharif University of Technology, 107, 657–670.
Shekari, A., Faramarz, A, G., & Malekzadehfard, K. (2017). Free Damped Vibration of Rotating Truncated Conical Sandwich Shells Using an Improved High-Order Theory. Latin. American journal of Solids and Structures. Rio de Janeiro, 14, 12. https://doi.org/10.1590/1679-78253977.
Sofiyev, A. H. (2012). The non-linear vibration of FGM truncated conical shells. Composite Structures 94(2012). 2237–2245.
Sofiyev, A. H. (2014). Large-amplitude vibration of non-homogeneous orthotropic composite truncated conical shell. In: Composites Part B: Engineering 61, 365–374.
Xiaohan, B., & Yiling, L. (2020). Natural frequency analysis and simulation test of conical shell under support condition. Journal of Physics Conference Series, 1550(3), 032002. https://doi:10.1088/1742-6596/1550/3/032002.
Yalgashev, B., Ismoilov, E, A., & Khudoyberdiyev, Z. (2022). Torsional Vibrations of Layered Cylindrical Viscoelastic Shells and Rods. AIP Conference Proceedings, 2637, 030023. https://doi.org/10.1063/5.0118588. Published Online: 20 October 2022.
Yegao, Q., Yong, Ch., Xinhua, L., Hongxing, H., & Guang, M. (2013). A modified variation approach for vibration analysis of ring-stiffened conical-cylindrical shell combinations. European Journal of Mechanics A/Solids, 37, 200–215.
Zeighampour, H., Yaghoub, T, B., & Fahimeh, M. (2015). A shear deformable conical shell formulation in the framework of couple stress theory. Acta Mechanica, 226, 2607–2629. https://doi 10.1007/s00707-015-1318-2.
Aris, H., & Ahmadi, H. (2020). Nonlinear vibration analysis of FGM truncated conical shells subjected to harmonic excitation in thermal environment. Mechanics Research Communications. 104, 103499.
Bakhtiari, M., & Lakis, Y, K. (2019). Nonlinear Vibration of Truncated Conical Shells: Donnell, Sanders and Nemeth Theories. International Journal of Nonlinear Sciences and Numerical Simulation, 21(1). https://doi:10.1515/ijnsns-2018-0377.
Beridze, S. P. (1999). Free torsional vibrations of a conical rod. Vestnik ОGU, 3, 104 –107.
Filippov, I. G., & Kudajnazarov, K. (1998). Boundary value problems of longitudinal vibrations of the circular cylindrical shells. Gangue Jinzhou/Industrial Construction, 28(12), 34–40.
Khalmuradov, R, I., Khudoynazarov, Kh., & Nishanov, U, A. (2022). Elastic-plastic deformation of a round plate reinforced with stiffeners. Magazine of Civil Engineering. 116(8). https://doi: 10.34910/MCE.116.13.
Khudoynazarov, Kh. (2003). Nonstationary interaction of cylindrical shells and rods with a deformable medium. Tashkent, publishing house of med.
Khudoynazarov, Kh. (2024). Longitudinal-radial vibrations of a viscoelastic cylindrical three-layer structure. Mechanical engineering. https://doi.org/10.22190/FUME231219010K.
Khudoynazarov, Kh., & Yalgashev, B. (2021). Longitudinal vibrations of a cylindrical shell filled with a viscous compressible liquid. E3S Web of Conferences 264,02017. https://doi.org/10.1051/e3sconf/202126402017.
Khudoynazarov, Kh., Kholikov, D., & Abdurazakov, J. (2022). Torsional vibrations of a conical elastic shell. AIP Conference Proceedings, 2637, 030024. https://doi.org/10.1063/5.0118846.
Kuhudoynazarov, Kh., & Ismoilov, Kh. (2023). A mathematical model of torsional vibrations of a truncated conical layer interacting with a deformable medium. Fundamental and applied problems of engineering and technology, 6(362), 160–172.
Kushnarenko, V, M., & Beridze, S, P. (2000). Free longitudinal vibrations of a conical rod, Vestnik, 3, 83–86.
Lam, K., & Hua, L. (1997). Vibration analysis of a rotating truncated circular conical shell. International Journal of Solids and Structures, 34(17), 2183–2197.
Lugovyi, P, Z., & Skosarenko, Y, V. (2022). Vibrations of a Layered Conical Shell under Nonstationary Load. International Applied Mechanics, 58, 280–288.
Marco, A., & Prabakaran, B. (2020). Nonlinear forced vibrations of layered composite conical shells using an improved theory of shear deformation. Composite structures, 249, 112522. https://doi:10.1016 / j.compstruct.2020.112522.
Meish, V, F., Galagan, O, G., & Mel’nik, M, N. (2014). Nonaxisymmetric vibrations of conical shells of variable thickness under a nonstationary load. International Applied Mechanics, 50(3), 295–302
Meish, V, F., Meish, Y, A., & Belova, M, A. (2020). Nostationary dynamics of elliptic isotropic conical shells under distributed loads. International Applied Mechanics, 56(4), 424–431.
Qinkai, H., & Fulei, C. (2013). Effect of rotation on frequency characteristics of a truncated circular conical shell. Archive of Applied Mechanics, 83, 17890-1800. https://doi.org/10.1007/s00419-013-0778-x.
Sarkheil, S., & Mahmoud, S, F. (2016). Free vibrational characteristics of rotating joined cylindrical-conical shells. School of Mechanical Engineering. Sharif University of Technology, 107, 657–670.
Shekari, A., Faramarz, A, G., & Malekzadehfard, K. (2017). Free Damped Vibration of Rotating Truncated Conical Sandwich Shells Using an Improved High-Order Theory. Latin. American journal of Solids and Structures. Rio de Janeiro, 14, 12. https://doi.org/10.1590/1679-78253977.
Sofiyev, A. H. (2012). The non-linear vibration of FGM truncated conical shells. Composite Structures 94(2012). 2237–2245.
Sofiyev, A. H. (2014). Large-amplitude vibration of non-homogeneous orthotropic composite truncated conical shell. In: Composites Part B: Engineering 61, 365–374.
Xiaohan, B., & Yiling, L. (2020). Natural frequency analysis and simulation test of conical shell under support condition. Journal of Physics Conference Series, 1550(3), 032002. https://doi:10.1088/1742-6596/1550/3/032002.
Yalgashev, B., Ismoilov, E, A., & Khudoyberdiyev, Z. (2022). Torsional Vibrations of Layered Cylindrical Viscoelastic Shells and Rods. AIP Conference Proceedings, 2637, 030023. https://doi.org/10.1063/5.0118588. Published Online: 20 October 2022.
Yegao, Q., Yong, Ch., Xinhua, L., Hongxing, H., & Guang, M. (2013). A modified variation approach for vibration analysis of ring-stiffened conical-cylindrical shell combinations. European Journal of Mechanics A/Solids, 37, 200–215.
Zeighampour, H., Yaghoub, T, B., & Fahimeh, M. (2015). A shear deformable conical shell formulation in the framework of couple stress theory. Acta Mechanica, 226, 2607–2629. https://doi 10.1007/s00707-015-1318-2.