Vol. 15, no.4, 2023
РусскийEnglish
INFORMATION TECHNOLOGIES
SOUND REFLECTION FROM AN ELASTIC FINITE CYLINDRICAL SHELL OF DIFFERENT RELATIVE LENGTHS
Sergey L. Ilmenkov
St. Petersburg State Marine Technical University, http://www.smtu.ru/
St. Petersburg 190121, Russian Federation
E-mail: sl_ilmenkov@mail.ru
Sergey A. Pereselkov, Nikolay V. Ladykin
Voronezh State University, http://www.vsu.ru/
Voronezh 394006, Russian Federation
E-mail: pereselkov@yandex.ru, ladykin.edu@yandex.ru
Vladimir I. Grachev
Kotel'nikov Institute of Radioengineering and Electronics of RAS, http://www.cplire.ru/
Moscow 125009, Russian Federation
E-mail: grachev@cplire.ru
Received November 28, 2023, peer-reviewed December 01, 2023, accepted December 03, 2023, published December 06, 2023.
Abstract: A calculation of the sound pressure frequency dependences scattered by a finite elastic cylindrical shell placed in a liquid medium is presented. The shell has hemispherical ends and is considered either hollow or filled with gas or liquid. The scattered sound pressure under conditions of hydroelastic contact on the shell surfaces is found by jointly using the Kirchhoff integral and the integral equation for the elastic medium displacement vector, obeying the Lamé equation. Boundary conditions regarding stresses and displacements are formulated for each of the shell contact surfaces with the external and internal environments. Considerating approach is based on the numerical transformation of continuous integral equations into a system of linear algebraic equations using curvilinear isoparametric boundary elements. In this case, the elements geometry and the main variables (displacements and stresses) are specified using the same interpolating relations (shape functions). The scattered sound pressure frequency dependences are calculated and analyzed for various ratios of the length and shell diameter.
Keywords: finite elastic cylindrical shell, Kirchhoff integral equation, displacement vector, boundary elements, scattered sound pressure
UDC 534.26
RENSIT, 2023, 15(1):425-432e DOI: 10.17725/rensit.2023.15.425
Full-text electronic version of this article - web site http://en.rensit.ru/vypuski/article/520/15(4)425-432e.pdf