Free Oscillations of a Toroidal Viscoelastic Shell with a Flowing Liquid

Safarov Ismail Ibrahimovich; Teshaev Muhsin Khudoyberdiyevich; Akhmedov Maqsud Sharipovich

doi:doi:10.11648/j.ajma.20180602.11

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Free Oscillations of a Toroidal Viscoelastic Shell with a Flowing Liquid

Safarov Ismail Ibrahimovich, Teshaev Muhsin Khudoyberdiyevich, Akhmedov Maqsud Sharipovich

Published in American Journal of Mechanics and Applications (Volume 6, Issue 2)

Received: 20 March 2018 Accepted: 30 March 2018 Published: 7 May 2018

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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.

Published in	American Journal of Mechanics and Applications (Volume 6, Issue 2)
DOI	10.11648/j.ajma.20180602.11
Page(s)	27-39
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Toroidal Shell, Liquid, Sweep, Mueller Method, Natural Frequency, Oscillation

References

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APA Style

Safarov Ismail Ibrahimovich, Teshaev Muhsin Khudoyberdiyevich, Akhmedov Maqsud Sharipovich. (2018). Free Oscillations of a Toroidal Viscoelastic Shell with a Flowing Liquid. American Journal of Mechanics and Applications, 6(2), 27-39. https://doi.org/10.11648/j.ajma.20180602.11

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ACS Style

Safarov Ismail Ibrahimovich; Teshaev Muhsin Khudoyberdiyevich; Akhmedov Maqsud Sharipovich. Free Oscillations of a Toroidal Viscoelastic Shell with a Flowing Liquid. Am. J. Mech. Appl. 2018, 6(2), 27-39. doi: 10.11648/j.ajma.20180602.11

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AMA Style

Safarov Ismail Ibrahimovich, Teshaev Muhsin Khudoyberdiyevich, Akhmedov Maqsud Sharipovich. Free Oscillations of a Toroidal Viscoelastic Shell with a Flowing Liquid. Am J Mech Appl. 2018;6(2):27-39. doi: 10.11648/j.ajma.20180602.11

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@article{10.11648/j.ajma.20180602.11,
  author = {Safarov Ismail Ibrahimovich and Teshaev Muhsin Khudoyberdiyevich and Akhmedov Maqsud Sharipovich},
  title = {Free Oscillations of a Toroidal Viscoelastic Shell with a Flowing Liquid},
  journal = {American Journal of Mechanics and Applications},
  volume = {6},
  number = {2},
  pages = {27-39},
  doi = {10.11648/j.ajma.20180602.11},
  url = {https://doi.org/10.11648/j.ajma.20180602.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajma.20180602.11},
  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.},
 year = {2018}
}

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TY  - JOUR
T1  - Free Oscillations of a Toroidal Viscoelastic Shell with a Flowing Liquid
AU  - Safarov Ismail Ibrahimovich
AU  - Teshaev Muhsin Khudoyberdiyevich
AU  - Akhmedov Maqsud Sharipovich
Y1  - 2018/05/07
PY  - 2018
N1  - https://doi.org/10.11648/j.ajma.20180602.11
DO  - 10.11648/j.ajma.20180602.11
T2  - American Journal of Mechanics and Applications
JF  - American Journal of Mechanics and Applications
JO  - American Journal of Mechanics and Applications
SP  - 27
EP  - 39
PB  - Science Publishing Group
SN  - 2376-6131
UR  - https://doi.org/10.11648/j.ajma.20180602.11
AB  - 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.
VL  - 6
IS  - 2
ER  -

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Author Information

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

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Plain Text BibTeX RIS

APA Style

Safarov Ismail Ibrahimovich, Teshaev Muhsin Khudoyberdiyevich, Akhmedov Maqsud Sharipovich. (2018). Free Oscillations of a Toroidal Viscoelastic Shell with a Flowing Liquid. American Journal of Mechanics and Applications, 6(2), 27-39. https://doi.org/10.11648/j.ajma.20180602.11

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ACS Style

Safarov Ismail Ibrahimovich; Teshaev Muhsin Khudoyberdiyevich; Akhmedov Maqsud Sharipovich. Free Oscillations of a Toroidal Viscoelastic Shell with a Flowing Liquid. Am. J. Mech. Appl. 2018, 6(2), 27-39. doi: 10.11648/j.ajma.20180602.11

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AMA Style

Safarov Ismail Ibrahimovich, Teshaev Muhsin Khudoyberdiyevich, Akhmedov Maqsud Sharipovich. Free Oscillations of a Toroidal Viscoelastic Shell with a Flowing Liquid. Am J Mech Appl. 2018;6(2):27-39. doi: 10.11648/j.ajma.20180602.11

Copy | Download

@article{10.11648/j.ajma.20180602.11,
  author = {Safarov Ismail Ibrahimovich and Teshaev Muhsin Khudoyberdiyevich and Akhmedov Maqsud Sharipovich},
  title = {Free Oscillations of a Toroidal Viscoelastic Shell with a Flowing Liquid},
  journal = {American Journal of Mechanics and Applications},
  volume = {6},
  number = {2},
  pages = {27-39},
  doi = {10.11648/j.ajma.20180602.11},
  url = {https://doi.org/10.11648/j.ajma.20180602.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajma.20180602.11},
  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.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Free Oscillations of a Toroidal Viscoelastic Shell with a Flowing Liquid
AU  - Safarov Ismail Ibrahimovich
AU  - Teshaev Muhsin Khudoyberdiyevich
AU  - Akhmedov Maqsud Sharipovich
Y1  - 2018/05/07
PY  - 2018
N1  - https://doi.org/10.11648/j.ajma.20180602.11
DO  - 10.11648/j.ajma.20180602.11
T2  - American Journal of Mechanics and Applications
JF  - American Journal of Mechanics and Applications
JO  - American Journal of Mechanics and Applications
SP  - 27
EP  - 39
PB  - Science Publishing Group
SN  - 2376-6131
UR  - https://doi.org/10.11648/j.ajma.20180602.11
AB  - 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.
VL  - 6
IS  - 2
ER  -

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