Mathematical modelling of cylindrical shell vibrations under internal pressure of fluid flow

N. Naumova; D. Ivanov; T. Voloshinova; B. Ershov

doi:10.1109/POLYAKHOV.2015.7106761

Mathematical modelling of cylindrical shell vibrations under internal pressure of fluid flow

N. Naumova, D. Ivanov, T. Voloshinova, B. Ershov

Кафедра теоретической и прикладной механики

Research output › › peer-review

Abstract

© 2015 IEEE. Axisymmetric vibrations of thin elastic cylindrical shell under the internal pressure of an incompressible homogeneous ideal fluid flow are analyzed. The mathematical model describing the structure is reduced to a system of ordinary differential linear equations of the second order. Solutions of the problem are obtained by using the approximate theory. The system of equation is solved analytically. The solution contains the unknown constants, which is evaluated by using Mathematika 9.0. Analytical formula for evaluation of components of normal and tangential deflections of the shell middle surface are found. The approximate results are presented by either analytical formulas or in the form of plots. The results are compared with numerical (FEM) results obtained by the program complex ANSYS 13 and agree well.

Original language	English
Title of host publication	2015 International Conference on Mechanics - Seventh Polyakhov's Reading
Number of pages	10
DOIs	https://doi.org/10.1109/POLYAKHOV.2015.7106761
Publication status	Published - 2015

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title = "Mathematical modelling of cylindrical shell vibrations under internal pressure of fluid flow",

abstract = "{\textcopyright} 2015 IEEE. Axisymmetric vibrations of thin elastic cylindrical shell under the internal pressure of an incompressible homogeneous ideal fluid flow are analyzed. The mathematical model describing the structure is reduced to a system of ordinary differential linear equations of the second order. Solutions of the problem are obtained by using the approximate theory. The system of equation is solved analytically. The solution contains the unknown constants, which is evaluated by using Mathematika 9.0. Analytical formula for evaluation of components of normal and tangential deflections of the shell middle surface are found. The approximate results are presented by either analytical formulas or in the form of plots. The results are compared with numerical (FEM) results obtained by the program complex ANSYS 13 and agree well.",

author = "N. Naumova and D. Ivanov and T. Voloshinova and B. Ershov",

year = "2015",

doi = "10.1109/POLYAKHOV.2015.7106761",

language = "English",

isbn = "9781479968244",

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T1 - Mathematical modelling of cylindrical shell vibrations under internal pressure of fluid flow

AU - Naumova, N.

AU - Ivanov, D.

AU - Voloshinova, T.

AU - Ershov, B.

PY - 2015

Y1 - 2015

N2 - © 2015 IEEE. Axisymmetric vibrations of thin elastic cylindrical shell under the internal pressure of an incompressible homogeneous ideal fluid flow are analyzed. The mathematical model describing the structure is reduced to a system of ordinary differential linear equations of the second order. Solutions of the problem are obtained by using the approximate theory. The system of equation is solved analytically. The solution contains the unknown constants, which is evaluated by using Mathematika 9.0. Analytical formula for evaluation of components of normal and tangential deflections of the shell middle surface are found. The approximate results are presented by either analytical formulas or in the form of plots. The results are compared with numerical (FEM) results obtained by the program complex ANSYS 13 and agree well.

AB - © 2015 IEEE. Axisymmetric vibrations of thin elastic cylindrical shell under the internal pressure of an incompressible homogeneous ideal fluid flow are analyzed. The mathematical model describing the structure is reduced to a system of ordinary differential linear equations of the second order. Solutions of the problem are obtained by using the approximate theory. The system of equation is solved analytically. The solution contains the unknown constants, which is evaluated by using Mathematika 9.0. Analytical formula for evaluation of components of normal and tangential deflections of the shell middle surface are found. The approximate results are presented by either analytical formulas or in the form of plots. The results are compared with numerical (FEM) results obtained by the program complex ANSYS 13 and agree well.

U2 - 10.1109/POLYAKHOV.2015.7106761

DO - 10.1109/POLYAKHOV.2015.7106761

M3 - Conference contribution

SN - 9781479968244

BT - 2015 International Conference on Mechanics - Seventh Polyakhov's Reading

ER -