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Reconstruction of the stiffness of an inhomogeneous elastic plate

  • Acoustics of Structurally Inhomogeneous Media. Geoacoustics
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Abstract

The paper discusses the problem of reconstructing the inhomogeneous cylindrical, symmetric stiffness distribution of a round plate using information on the bias function for established oscillations, which is measured at a certain point. A solution is constructed to the direct problem using the Galerkin method and to the inverse problem of reconstructing the stiffness using an iterative approach based on the regularized linearization method. We present the results of calculation experiments on reconstructing different types of functions that show the efficiency of the proposed approach and make it possible to estimate changes in stiffness.

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Authors and Affiliations

  1. Southern Federal University, Institute of Mathematics, Mechanics, and Computer Science, ul. Mil’chakova 8a, Rostov-on-Don, 344006, Russia

    I. V. Bogachev & A. O. Vatul’yan

  2. Southern Mathematics Institute, Vladikavkaz Scientific Center, Russian Academy of Sciences and Republic of Northern Ossetia-Alania, 362027, Vladikavkaz, Russia

    A. O. Vatul’yan & O. V. Yavruan

Authors
  1. I. V. Bogachev
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  2. A. O. Vatul’yan
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  3. O. V. Yavruan
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Corresponding author

Correspondence to I. V. Bogachev.

Additional information

Original Russian Text © I.V. Bogachev, A.O. Vatul’yan, O.V. Yavruan, 2016, published in Akusticheskii Zhurnal, 2016, Vol. 62, No. 3, pp. 369–374.

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Bogachev, I.V., Vatul’yan, A.O. & Yavruan, O.V. Reconstruction of the stiffness of an inhomogeneous elastic plate. Acoust. Phys. 62, 377–382 (2016). https://doi.org/10.1134/S1063771016030052

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  • DOI: https://doi.org/10.1134/S1063771016030052

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