MECHANICS OF A DEFORMABLE SOLIDS

Original article

https://doi.org/10.24866/2227-6858/2024-4/31-39

Saiyan S.G., Modestov K.A., Brygar O.A.

Sergey G. Saiyan – Researcher at the Scientific and Educational Center for Computer Modeling of Unique Buildings, Structures and Complexes named after A.B. Zolotov, Moscow State University of Civil Engineering (National Research University); Junior Researcher at the Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Lecturer at the Department of Computer Science and Applied Mathematics, Calculation Engineer at the SRC StaDiO (Moscow, Russian Federation), Berformert@gmail.com, https://orcid.org/0000-0003-0694-4865

Konstantin A. Modestov – Senior Lecturer at the Department of General and Applied Physics, Moscow State University of Civil Engineering (National Research University) (Moscow, Russian Federation); Junior Researcher at the International Scientific Center for Fundamental Research in the Field of Natural and Building Sciences named after Honored Scientist of the Russian Federation, Professor Yu.A. Rossikhin, Voronezh State Technical University (Voronezh, Russian Federation), ModestovKA@mgsu.ru, https://orcid.org/0000-0003-4596-2652

Oleg A. Brygar – Senior Laboratory Assistant at the Department of General and Applied Physics, Moscow State University of Civil Engineering (National Research University) (Moscow, Russian Federation), brygaro@yandex.ru

Modeling of wave processes in a thick-walled viscoelastic spherical shell under impulse load

Abstract. The article investigates the problem of propagation of longitudinal waves in a thick-walled viscoelastic spherical shell under impulse load on its inner surface. The paper presents a numerical-analytical solution to the problem using the Laplace transform. The viscoelasticity model is described through the shear modulus operator relaxing according to the Kelvin – Voigt model without taking into account the relaxation of the volumetric module. The authors highlight important aspects, such as the need to take into account high-frequency oscillations and inertial effects arising from impulse load. Viscoelastic materials exhibit complex behavior depending on the time and frequency of load application, which requires the use of appropriate behaviors. The article presents graphs of the dependence of displacements on a radial variable at different time intervals, which allows us to better understand the reaction of a viscoelastic shell under the influence of a pulsed load. The results of the study can be useful in the development of structures subject to significant short-term loads (pulse effects), such as high-pressure tanks, pipelines, reactors, etc.

Keywords: thick-walled shell, viscoelasticity, spherical shell, Laplace transform, impulse load

Foundation: Work (Saiyan S.G.) was supported by the Russian Science Foundation grant № 24-49-02002.

See the reference in English at the end of the article

For citation: Saiyan S.G., Modestov K.A., Brygar O.A. Modeling of wave processes in a thick-walled viscoelastic spherical shell under impulse load. FEFU: School of Engineering Bulletin, 2024, no. 4(61), pp. 31–39. (In Russ.).