Volume 6, Issue 2, June 2018, Page: 37-49
Free Oscillations of a Toroidal Viscoelastic Shell with a Flowing Liquid
Safarov Ismail Ibrahimovich, Department of Mathematics, Tashkent Chemcal - Technological Institute, Tashkent, Republic of Uzbekistan
Teshaev Muhsin Khudoyberdiyevich, Department of Mathematics, Вukhara Engineering - Technological Institute, Bukhara, Republic of Uzbekistan
Akhmedov Maqsud Sharipovich, Department of Mathematics, Вukhara Engineering - Technological Institute, Bukhara, Republic of Uzbekistan
Received: Mar. 20, 2018;       Accepted: Mar. 30, 2018;       Published: May 7, 2018
DOI: 10.11648/j.ajma.20180602.11      View  947      Downloads  87
Abstract
On the basis of the method of orthogonal sweep and the Mueller method, the solution of the problem of intrinsic oscillation of a Toroidal shell with a flowing liquid is discussed. The problem of determining the frequencies and forms of intrinsic bending vibrations in the plane of curvature of curvilinear sections of thin-walled Toroidal shells of large diameter with a flowing liquid, with different conditions for fixing the end sections is solved. The behavior of complex Eigen frequencies as a function of the curvature of the shell axis is studied.
Keywords
Toroidal Shell, Liquid, Sweep, Mueller Method, Natural Frequency, Oscillation
To cite this article
Safarov Ismail Ibrahimovich, Teshaev Muhsin Khudoyberdiyevich, Akhmedov Maqsud Sharipovich, Free Oscillations of a Toroidal Viscoelastic Shell with a Flowing Liquid, American Journal of Mechanics and Applications. Vol. 6, No. 2, 2018, pp. 37-49. doi: 10.11648/j.ajma.20180602.11
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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