Open Access Peer-reviewed

Investigation of Characteristics of the Reflection of Stationary and Pulse Sound from Visco-Elastic Cylindrical Layers

S. L. Ilmenkov1,, A. A. Kleshchev1, E. I. Kuznetsova1, F. F. Legusha1, Y. V. Chizhov1, G. V. Chizhov1

1Saint-Petersburg State Navy Technical University, Saint-Petersburg, Lotsmanskaya, Russia

International Journal of Physics. 2013, 1(5), 101-105. DOI: 10.12691/ijp-1-5-1
Published online: August 25, 2017

Abstract

The scattering task of stationary and impulse sound signals by the viscous-elastic and elastic cylindrical layers is studied with the help of Fourier series and fundamental solutions of the Helmholtz equation in circular cylindrical coordinates system. The reflection’s characteristics of sound (harmonic and impulse) are calculated in the large range of angles (including inverse direction).

Keywords:

viscous-elastic layer, impulse, Fourier series
[1]  Morz F., Feshbach G. The methods of theoretical physics. Moscow: Foreign Literature. 1958. V. 1. 1960. V. 2.
 
[2]  Hyonl H., Maue A., Vestpfal K. Theory of Diffraction. Moscow: Mir. 1964. P.428.
 
[3]  Shenderov E.L. Wave problems of hydroacoustic. L.: Shipbuilding, 1972.P.350.
 
[4]  Dickey J. W., Frisk G. V., Uberall H. Whispering gallery wave modes on elastic cylinders. // JASA. 1976. V. 59. № 6. P. 1339-1346.
 
[5]  Metsaveer.Ya,A. Veksler N, D., Stulov A. S. Impulse diffraction of elastic bodies. Moscow: Nau ka. 1979. P.226.
 
[6]  Veksler N, D. Informational problems of hydroacoustic. Tallinn: Valgus. 1982. P.180.
 
[7]  Kleshchev A. A. Acoustic Scatterers .//The Second Publication. Saint-Petersburg. Prima, 2012. P. 267.
 
[8]  Podstrigach Ya. S., Poddubniak A. P. Scattering of sound loops by elastic sheroidal and cylindrical bodies. Kiev: Naukova dumka. 1986. P. 264.
 
[9]  A.A. Kleshchev, I.I. Klukin. Fundamentals of hydroacoustic. Leningrad.: Sudostroenie.1987. P.224.
 
[10]  Shenderov E.L. Radiation and scattering sound. Leningrad: Sudostroenie. 1989. P.304.
 
[11]  Kleshchev A. A. Diffraction, radiation and propagation of elastic waves. Saint-Petersburg.: Profprint. 2006. P.160.
 
[12]  Faran J. J. Sound scattering by solid cylinders and spheres. // J. A. S. A. 1951. V. 23. № 4. P. 405-418.
 
[13]  Sharfarets B. P. To the problem of scattering amplitude evalution on radially symmetric elastic inserts in perfect fluid. // Nauchnoe priborostroenie. 2012. V. 22. № 2. P. 82-89.
 
[14]  Kharcevich A. A. Spektrum and Analysis. Moskau: GITTL. 1957. P. 236.
 
[15]  Kleshchev A.A., , Kuznetsova E. I. The question is interaction of Acoustic Scatterers. // Acoust. Phys. 2011. V. 57. № 4. P. 505-510.