DYNAMIC DEFORMATION THE VISCOELASTIC TWOCOMPONENT MEDIUM
https://doi.org/10.20914/2310-1202-2015-3-89-92
Abstract
Summary. In the article are scope harmonious warping of the two-component medium, one component which are represent viscoelastic medium, hereditary properties which are described by the kernel aftereffect Abel integral-differential ratio BoltzmannVolterr, while second – compressible liquid. Do a study one-dimensional case. Use motion equation of two-component medium at movement. Look determination system these equalization in the form of damped wave. Introduce dimensionless coefficient. Combined equations happen to homogeneous system with complex factor relatively waves amplitude in viscoelastic component and in fluid. As a result opening system determinant receive biquadratic equation. Elastic operator express through kernel aftereffect Abel for space Fourier. With the help transformation and symbol series biquadratic equation reduce to quadratic equation. Come to the conclusion that in two-component viscoelastic medium exist two mode sonic waves. As a result solution of quadratic equation be found description advance of waves sonic in viscoelastic two-component medium, which physical-mechanical properties represent complex parameter. Velocity determination advance of sonic waves, attenuation coefficient, mechanical loss tangent, depending on characteristic porous medium and circular frequency formulas receive. Graph dependences of description advance of waves sonic from the temperature logarithm and with the fractional parameter γ are constructed.
About the Authors
V. S. Polenov
Voronezh, Military Educational Research Centre of Air Force «Air Force Academy after professor N.E. Zhykovsky and Y.A. Gagarin»
Russian Federation
Scientist, 4 RD dep. res. cent. (BP and O VVC). phone (473) 244-77-16
Russian Federation
Scientist, 4 RD dep. res. cent. (BP and O VVC). phone (473) 244-77-16
L. A. Kukarskikh
Voronezh, Military Educational Research Centre of Air Force «Air Force Academy after professor N.E. Zhykovsky and Y.A. Gagarin»
Russian Federation
senior scientist, 4 RD dep. res. cent. (BP and O VVC). phone (473) 244-77-16
Russian Federation
senior scientist, 4 RD dep. res. cent. (BP and O VVC). phone (473) 244-77-16
S. M. Logoida
Voronezh, Military Educational Research Centre of Air Force «Air Force Academy after professor N.E. Zhykovsky and Y.A. Gagarin»
Russian Federation
head of department, Department of electronic support. phone(473) 244-76-18
Russian Federation
head of department, Department of electronic support. phone(473) 244-76-18
References
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4. Zelenev V.I., Polenov V.C. Passing normal incident diametrical sonic wave over viscoelastic layer. Trudy NII matematiki VGU. [Proceedings of RI mathematician VSU], 1970, issue 2, pp. 92-100. (In Russ.).
Review
For citations:
Polenov V.S., Kukarskikh L.A., Logoida S.M. DYNAMIC DEFORMATION THE VISCOELASTIC TWOCOMPONENT MEDIUM. Proceedings of the Voronezh State University of Engineering Technologies. 2015;(3):89-92. (In Russ.) https://doi.org/10.20914/2310-1202-2015-3-89-92
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