 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| A. G. Gorshkov, S. I. Zhavoronok, A. L. Medvedskii, and L. N. Rabinskii, "Motion of a rigid body in an acoustic medium driven by a time-dependent spherical pressure wave," Mech. Solids. 41 (1), 135-145 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
1 |
Pages |
135-145 |
| Title |
Motion of a rigid body in an acoustic medium driven by a time-dependent spherical pressure wave |
| Author(s) |
A. G. Gorshkov (Moscow)
S. I. Zhavoronok (Moscow)
A. L. Medvedskii (Moscow)
L. N. Rabinskii (Moscow) |
| Abstract |
Transient motion of a rigid body bounded by a smooth surface
and driven by an acoustic pressure wave is studied.
To obtain the surface pressure distribution, a modified theory of thin
layer is applied [1, 2]. The pressure is represented by the
superposition of pressures in the incident, reflected, and emitted
waves. To determine the total pressure components, the influence
function is introduced. The pressure in the reflected and emitted
waves is expressed as the convolution of this function with the normal
velocity in the incident wave, and with the normal velocity of body
surface points in the translational and rotational motion,
respectively.
The system of linearized equations of motion is written in the
integral form and is reduced, with the influence
function being taken into account, to a system of Volterra integral equations of the second
kind, which is solved numerically by the quadrature method.
The solution obtained for a spherical non-buoyant body subjected to a
planar acoustic pressure wave is compared with the existing analytical
solutions [3]. Also, a solution is obtained for an axisymmetric
non-buoyant body driven by a spherical acoustic pressure wave from an
arbitrarily located source. |
| References |
| 1. | A. G. Gorshkov, V. I. Morozov, V. I. Ponomarev, and F. N. Shevchuk,
Aerohydroelasticity of Structures [in Russian],
Fizmatlit, Moscow, 2000. |
| 2. | A. G. Gorshkov, O. V. Egorova, A. L. Medvedskii, and L. N. Rabinskii,
"Plane problem of diffraction of a pressure acoustic wave on a curved obstacle,"
Izv. AN. MTT [Mechanics of Solids], No. 3,
pp. 148-154, 2003. |
| 3. | E. I. Grigolyuk and A. G. Gorshkov,
Unsteady Hydroelasticity of Shells [in Russian],
Sudostroenie, Leningrad, 1974. |
| 4. | N. S. Bakhvalov, N. P. Zhidkov, and G. M. Kobel'kov,
Numerical Methods [in Russian],
Binom. Laboratoriya Znanii, Moscow, 2003. |
|
| Received |
01 April 2005 |
| << Previous article | Volume 41, Issue 1 / 2006 | Next article >> |
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