Response of a cylindrical shell with a solid viscoelastic filler to a non-axisymmetric moving load

Zafar Boltayev
Department of Exact Sciences, Bukhara State Technical University, Bukhara 200117, Uzbekistan
Nuriddin Esanov
Department of Pedagogy and Psychology, Asia International University, Bukhara 200100, Uzbekistan
Shuhrat Jurayev
Department of Mathematics and Informatics, Bukhara State Pedagogical Institute, Bukhara 200130, Uzbekistan
Rano Sabirova
Department of Exact Sciences, Bukhara State Technical University, Bukhara 200117, Uzbekistan
Gulzira Mirzoyeva
Department of Exact Sciences, Bukhara State Technical University, Bukhara 200117, Uzbekistan
Uchqun Safarov
Department of Structural Mechanics and Earthquake Engineering, Tashkent University of Architecture and Civil Engineering, Tashkent 100194, Uzbekistan
Sherali Khamidov
Department of Mathematics and Informatics, Bukhara State Pedagogical Institute, Bukhara 200130, Uzbekistan
Anora Jumayeva
Department of Architecture and Construction, Samarkand State Institute of Architecture and Civil Engineering, Samarkand 140143, Uzbekistan
Sitorabonu Otajonova
Department of Exact Sciences, Bukhara State Technical University, Bukhara 200117, Uzbekistan
Kamola Khaydarova
Department of Theoretical and Engineering Mechanics, Samarkand State University, Samarkand 140104, Uzbekistan
Nazokat Ergasheva
Department of Exact Sciences, Bukhara State Technical University, Bukhara 200117, Uzbekistan

Article ID: 4817

Keywords: cylindrical shell; viscoelastic core; Bessel and Neumann functions; Fourier transform; contact zone

Abstract

This paper examines the response of a cylindrical shell with a solid viscoelastic core to a non-axisymmetric moving load. We formulate the problem of determining the stationary stress-strain state of a shell with a solid multilayer viscoelastic core when a non-axisymmetric normal load moves along an infinitely long cylindrical shell filled with a continuous viscoelastic inertial core. The equation of motion of the shell is described by shell equations subject to the Kirchhoff–Love hypotheses, while the motion of the core is described by the dynamic equations of the theory of elasticity. Sliding-contact conditions are satisfied at the interface between the shell and the core. The problem is solved in a moving coordinate system using the Fourier transform and the introduction of potential functions, which in the transform space are represented as Fourier series. The solution is obtained in terms of special Bessel and Neumann functions of a complex argument. Numerical results were obtained using the MATLAB software environment. On the basis of the numerical results obtained, it is established that, moving away from the point of load application along the length of the shell, the distribution pattern changes substantially, especially for the stresses. Separation of the shell from the core can occur not only around the circumference but also along the length, and the variation of the core stiffness within the range considered here has little effect on the length of the contact zone.

Published

2026-09-03

How to Cite

Boltayev, Z., Esanov, N., Jurayev, S., Sabirova, R., Mirzoyeva, G., Safarov, U., Khamidov, S., Jumayeva, A., Otajonova, S., Khaydarova, K., & Ergasheva, N. (2026). Response of a cylindrical shell with a solid viscoelastic filler to a non-axisymmetric moving load. Sound & Vibration, 60(6). https://doi.org/10.59400/sv4817

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Vol. 60 No. 6 (2026): In Progress

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Article

Copyright (c) 2026 Zafar Boltayev, Nuriddin Esanov, Shuhrat Jurayev, Rano Sabirova, Gulzira Mirzoyeva, Uchqun Safarov, Sherali Khamidov, Anora Jumayeva, Sitorabonu Otajonova, Kamola Khaydarova, Nazokat Ergasheva

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Response of a cylindrical shell with a solid viscoelastic filler to a non-axisymmetric moving load

Abstract

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