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Mathematical Modeling of the Control of Dynamics of Thick Elastic Plates. II. Control Under Discrete Desired State

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Abstract

The authors solve control problems for the dynamics of three-dimensional field of transverse displacements of points of arbitrary thick elastic plate. The desired state of the plate is specified by the vector of linear differential transformations of the function of its transverse dynamic displacements. The authors consider the cases where control is performed by surface-distributed loads, initial and boundary effects, selected for all permissible combinations. The accuracy and uniqueness of the solutions are analyzed.

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References

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Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    V. A. Stoyan & K. V. Dvirnychuk

Authors
  1. V. A. Stoyan
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  2. K. V. Dvirnychuk
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Corresponding authors

Correspondence to V. A. Stoyan or K. V. Dvirnychuk.

Additional information

Continued from Cybernetics and Systems Analysis, 50, No. 3 (2014).

Translated from Kibernetika i Sistemnyi Analiz, No. 2, March–April, 2015, pp. 117–133.

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Stoyan, V.A., Dvirnychuk, K.V. Mathematical Modeling of the Control of Dynamics of Thick Elastic Plates. II. Control Under Discrete Desired State. Cybern Syst Anal 51, 261–275 (2015). https://doi.org/10.1007/s10559-015-9718-9

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  • DOI: https://doi.org/10.1007/s10559-015-9718-9

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