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Properties of Wave Motion in a Cylindrical Shell, Interacting with Viscous Liquid

DOI: 10.4236/oalib.1104563, PP. 1-23

Subject Areas: Continuum Mechanics

Keywords: The Cylindrical Shell, Viscous Liquid, Wave Process, Dissipative Non-Uniform, Wavy Motion

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Abstract

The propagation of natural waves in a cylindrical shell (elastic or viscoelastic) that is in contact with a viscous liquid is considered. The problem reduces to solving spectral problems with a complex incoming parameter. The system of ordinary differential equations is solved numerically, using the method of orthogonal rotation of Godunov with a combination of the Muller method. The dissipative processes in the mechanical system are investigated. A mechanical effect is obtained that describes the intensive flow of mechanical energy.

Cite this paper

Safarov, I. I. , Teshaev, M. K. and Boltayev, Z. I. (2018). Properties of Wave Motion in a Cylindrical Shell, Interacting with Viscous Liquid. Open Access Library Journal, 5, e4563. doi: http://dx.doi.org/10.4236/oalib.1104563.

References

[1]  Padilla, F., de Billy, M. and Quentin, G. (1999) Theoretical and Experimental Studies of Surface Waves on Solid-Fluid Interfaces When the Value of the Fluid Sound Velocity Is Located between the Shear and the Longitudinal Ones in the Solid. The Journal of the Acoustical Society of America, 106, 666-673.
https://doi.org/10.1121/1.427084
[2]  Glorieux, C., Van de Rostyne, K., Nelson, K., Gao, W., Lauriks, W. and Thoen, J. (2001) On the Character of Acoustic Waves at the Interface between Hard and Soft Solids and Liquids. The Journal of the Acoustical Society of America, 110, 1299-1306.
https://doi.org/10.1121/1.1396333
[3]  Zhu, J., Popovics, J.S. and Schubert, F. (2004) Leaky Rayleigh and Scholte Waves at the Fluid-Solid Interface Subjected to Transient Point Loading. The Journal of the Acoustical Society of America, 116, 2101-2110.
https://doi.org/10.1121/1.1791718
[4]  Bayon, A., Gascon, F. and Nieves, F.J. (2005) Estimation of Dynamic Elastic Constans from the Amplitude and Velocity of Rayleigh Waves. The Journal of the Acoustical Society of America, 117, 3469-3477.
https://doi.org/10.1121/1.1898663
[5]  Safarov, I.I., Teshaev, M.Kh. and Akhmedov, M.Sh. (2018) Free Oscillations of a Toroidal Viscoelastic Shell with a Flowing Liquid. American Journal of Mechanics and Applications, 6, 37-49.
http://www.sciencepublishinggroup.com/j/ajma
[6]  Safarov, I.I. and Boltayev, Z.I. (2018) Methods for Assessing the Seismic Resistance of Subterranean Hydro Structures under the Influence of Seismic Waves. American Journal of Physics and Applications, 6, 51-62.
http://www.sciencepublishinggroup.com/j/ajpa
[7]  Safarov, I.I., Teshayev, M.Kh., Boltayev, Z.I. and Akhmedov, M.Sh. (2017) Damping Properties of Vibrations of Three-Layer VIscoelastic Plate. International Journal of Theoretical and Applied Mathematics, 3, 191-198.
[8]  Gazis, D.C. (1959) Three-Dimension Investigation of the Propagation of Waves in Hollow Circular Cylinders. II. Numerical Results. The Journal of the Acoustical Society of America, 31, 573-578.
https://doi.org/10.1121/1.1907754
[9]  Rosenberg, R.L. and Thurston, R.N. (1977) Relationship between Plate and Surface Modes of a Tube. The Journal of the Acoustical Society of America, 61, 1499. https://doi.org/10.1121/1.381450
[10]  Ter-Hakobyan, G.L. (2013) Refinement of the Results of the Effect of the Fluid on the Propagation of Waves in an Elastic Cylindrical Shell. Journal Basic Research, Engineering Sciences, 10, 516-520.
[11]  Sorokin, S.V. (1997) Fluid-Structure Interaction and Structural Acoustics. Book of Lecture Notes, Technical University of Denmark, Lyngby, 188 p.
[12]  Safarov, I.I., Akhmedov, M.Sh. and Boltayev, Z.I. (2016) The Actual Waves in Layered Media. Lambert Academic Publishing, Saarbrücken, 192s.
[13]  Safarov, I.I., Boltayev, Z.I. and Akhmedov, M.Sh. (2016) Properties of Wave Motion in a Fluid-Filled Cylindrical Shell. Lambert Academic Publishing, Saarbrücken, 105 р.
[14]  Guz, A.N. (2016) Wave Propagation in a Cylindrical Shell with a Viscous Compressible Fluid. Prikladnaia Mekhanika, 16, 10-20.
[15]  Safarov, I.I., Akhmedov, M.Sh. and Boltayev, Z.I. (2015) Dissemination Sinusoidal Waves in of a Viscoelastic Strip. Global Journal of Science Frontier Research: F Mathematics & Decision Sciences, 15, 39-60.
[16]  Safarov, I.I., Teshaev, M.X., Akhmedov, M.Sh. and Rajabov, O. (2017) Distribution Natural Waves on the Viscoelastic Cylindrical Body in Plane Strain State. Case Studies Journal, 6, 1-8.
http://www.casestudiesjournal.com
[17]  Safarov, I.I., Teshaev, M.X., Akhmedov, M.Sh. and Boltaev, Z.I. (2017) Properties of Wave Motion in a Cylindrical Shell Is Contact with a Viscous Fluid. Case Studies Journal, 6, 9-35.
http://www.casestudiesjournal.com
[18]  Safarov, I.I., Teshaev, M.Kh., Boltaev, Z.I. and Nuriddinov, B.Z. (2017) Of Own and Forced Vibrations of Dissipative Inhomogeneous Mechanical Systems. Applied Mathematics, 8, 1001-1015.
http://www.scirp.org/journal/am
https://doi.org/10.4236/am.2017.87078
[19]  Safarov, I.I., Teshaev, M.X., Akhmedov, M.Sh. and Boltaev, Z.I. (2017) Distribution Free Waves in Viscoelastic Wedge with and Arbitrary Angle Tops. Applied Mathematics, 8, 736-745.
https://doi.org/10.4236/am.2017.85058
[20]  Safarov, I.I., Akhmedov, M.Sh. and Boltayev, Z.I. (2016) Ducting in Extended Plates of Variable Thickness. Global Journal of Science Frontier Research: F Mathematics & Decision Sciences, 16, 33-66.
[21]  Safarov, I.I., Teshaev, M.Kh. and Boltayev, Z.I. (2016) Propagation of Linear Waves in Extended Lamellar Bodies. Lambert Academic Publishing, Saarbrücken, 315 p.
[22]  Safarov, I.I., Teshaev, M.H. and Boltaev, Z.I. (2012) Wave Processes in Mechanical Waveguide. Lambert Academic Publishing, Saarbrücken, 217 p.
[23]  Bozorov, M.B., Safarov, I.I. and Shokin, Y.I. (1966) Numerical Simulation of Vibrations Dissipative Homogeneous and Heterogeneous Mechanical Systems. Moscow, 188 p.
[24]  Kayumov, S.S. and Safarov, I.I. (2002) Propagation and Diffraction of Waves in Dissipative—Inhomogeneous Cylindrical Deformable Mechanical Systems. Tashkent, 214 p.
[25]  Grinchenko, V.T. and Myaleshka, V.V. (1981) Harmonic Waves in Elastic Bodies. Kiev, 284.
[26]  Vasin, S.V. and Mikolyuk, V.V. (1983) Free Oscillations Tolerable Cylindrical Shells Separated by a Viscous Fluid Hydro Aeromechanics. And the Theory of Elasticity. No. 3, 108-116.
[27]  Beginners, Y.N. (1996) The Study of the Spectra of Natural Frequencies of Cylindrical Shells Containing a Compressible Fluid. Science, 74 p.

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