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Direct and Inverse Spectral Problems in the Theory of Oscillations of Elastic Plates with Additional Point Interactions

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Abstract

This paper is devoted to a new statement and the study of direct and inverse spectral problems for small linear oscillations of orthotropic plates that carry concentrated masses at a finite set of points, which, in turn, are connected to a stationary base by elastic springs with known stiffness coefficients.

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Authors and Affiliations

  1. Institute of Mathematics with Computing Center, Ufa Federal Research Center of the Russian Academy of Sciences, Ufa, Russia

    N. F. Valeev

  2. Bashkir State University, Ufa, Russia

    E. A. Nazirova

Authors
  1. N. F. Valeev
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  2. E. A. Nazirova
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Correspondence to N. F. Valeev.

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 152, Mathematical Physics, 2018.

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Valeev, N.F., Nazirova, E.A. Direct and Inverse Spectral Problems in the Theory of Oscillations of Elastic Plates with Additional Point Interactions. J Math Sci 252, 147–155 (2021). https://doi.org/10.1007/s10958-020-05149-6

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  • DOI: https://doi.org/10.1007/s10958-020-05149-6

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