Modeling an Inhomogeneous Coating of an Elastic Sphere with the Required Sound Reflecting Properties

Л. А. Толоконников1, Н. В. Ларин1, С. А. Скобельцын1
1Tula State University, Tula region, Russia

Tóm tắt

Từ khóa


Tài liệu tham khảo

L. A. Tolokonnikov and V. V. Yudachev, “Reflection and refraction of flat sound wave by elastic flat layer with an inhomogeneous coating,” Izv. Tul. Univ., Estestv. Nauki, No. 3, 219–226 (2015).

A. G. Romanov and L. A. Tolokonnikov, “The scattering of acoustic waves by a cylinder with a non-uniform elastic coating,” J. Appl. Math. Mech. 75, 595–600 (2011).

L. A. Tolokonnikov, “Scattering of an incidentally falling plane sound wave by an elastic cylinder with an inhomogeneous coating,” Izv. Tul. Univ., Estestv. Nauki, No. 2, 265–274 (2013).

L. A. Tolokonnikov, “The scattering of a plane sound wave by an elastic sphere with an in-homogeneous coating,” J. Appl. Math. Mech. 78, 367–373 (2014).

L. A. Tolokonnikov, “Diffraction of cylindrical sound waves by an elastic sphere with an in-homogeneous coating,” J. Appl. Math. Mech. 79, 467–474 (2015).

A. O. Vatulyan and P. S. Satunovskii, “On the determination of elastic modules in analysis of fluctuations in an inhomogeneous layer,” Dokl. Phys. 52, 253–255 (2007).

O. V. Bocharova and A. O. Vatulyan, “The reconstruction of density and Youngs modulus of an inhomogeneous rod,” Acoust. Phys. 55, 281–288 (2009).

A. O. Vatulyan, O. V. Yavruyan, and I. V. Bogachev, “Identifying the elastic properties of an inhomogeneous thick layer,” Acoust. Phys. 57, 741–748 (2011).

N. V. Larin, S. A. Skobel’tsyn, and L. A. Tolokonnikov, “Determination of the inhomogeneity laws for an elastic layer with preset sound-reflecting properties,” Acoust. Phys. 61, 504–510 (2015).

N. V. Larin, S. A. Skobeltsyn, and L. A. Tolokonnikov, “About definition of linear laws of heterogeneity of the cylindrical elastic layer having the least reflexion in the set direction at sound scattering,” Izv. Tul. Univ., Estestv. Nauki, No. 4, 54–62 (2014).

N. V. Larin, S. A. Skobel’tsyn, and L. A. Tolokonnikov, “Modelling the inhomogeneous coating of an elastic plate with optimum sound-reflecting properties,” J. Appl. Math. Mech. 80, 339–344 (2016).

N. N. Lebedev, Special Functions and their Applications (Fizmatgiz, Moscow, Leningrad, 1963) [in Russian].

N. S. Bakhvalov, N. P. Zhidkov, and G. M. Kobelkov, Numerical Methods (Binom. Laboratoriia Znanii, Moscow, 2008) [in Russian].

D. Rutkovskaya, M. Pilinskii, and L. Rutkovskii, Neural Networks, Genetic Algorithms and Fuzzy Systems (Goryachaia Liniya Telekom, Moscow, 2006) [in Russian].