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On the Determination of the Mechanical Characteristics of Rod Elements Made of Functionally Graded Materials

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Abstract—

The determining problem of the variable characteristics of an elastic rod made of a functionally graded material based on acoustic sounding data is considered. The amplitude-frequency characteristics of the rod during longitudinal and bending vibrations are used as additional information. A system of nonlinear integral equations is derived, the solution of which is based on an iterative scheme. The conditions under which the reconstruction is carried out in a unique way are presented. The results of computational experiments are discussed.

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Funding

This work was supported by a grant from the Government of the Russian Federation no. 075-15-2019-1928.

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Authors and Affiliations

  1. Southern Federal University, 344006, Rostov-on-Don, Russia

    A. O. Vatulyan & V. O. Yurov

  2. Southern Mathematical Institute – the Affiliate of Vladikavkaz Scientific Center of Russian Academy of Sciences, 362025, Vladikavkaz, Russia

    A. O. Vatulyan & V. O. Yurov

Authors
  1. A. O. Vatulyan
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  2. V. O. Yurov
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Correspondence to A. O. Vatulyan or V. O. Yurov.

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Vatulyan, A.O., Yurov, V.O. On the Determination of the Mechanical Characteristics of Rod Elements Made of Functionally Graded Materials. Mech. Solids 55, 907–917 (2020). https://doi.org/10.3103/S0025654420660036

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  • DOI: https://doi.org/10.3103/S0025654420660036

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