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Journal of Automation and Information Sciences
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ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v48.i9.40
pages 49-63

Mathematical Modeling of Direct and Inverse Problems of Dynamics of Thick Elastic Layer. Part II. Control Problems of Field of Transverse Dynamic Displacements of Layer

Vladimir Antonovich Stoyan
Kyiv National Taras Shevchenko University, Kyiv, Ukraine
Konstantin V. Dvirnychuk
Kiev National Taras Shevchenko University; Chernovtsy Yuriy Fedkovich National University, Chernovtsy

ABSTRACT

Control problems of three-dimensional field of transverse dynamic displacements of thick elastic layer of finite thickness by its root mean-square consistency with prescribed continuously or discretely defined required state are formulated and solved. Surface distributed outward dynamic loads and the initial disturbing factors taken individually or together are considered to be controlling factors. The conditions of accuracy and uniqueness of the obtained solutions are studied.

REFERENCES

  1. Stoyan V.A., Dvirnychuk K.V., Mathematical modeling of direct and inverse problems of dynamics of thick elastic layer. Part I. Mathematical modeling of field of transverse dynamic displacements of layer, Mezhdunarodnyi nauchno-tekhnicheskiy zhurnal “Problemy upravleniya i informatiki”.

  2. Stoyan V.A., Dvirnychuk K.V., To construction of differential model of transverse displacements of thick elastic layer, Ibid, 2012, No. 4, 74-83.

  3. Stoyan V.A., Dvirnychuk K.V., On integral model of transverse dynamic displacements of thick elastic layer, Ibid, 2013, No. 1, 70-82.

  4. Stoyan V.A., Dvirnychuk K.V., To construction of integral equivalent of linear differential models, Dopovidi NAN Ukrainy, 2012, No. 9, 36-43.

  5. Stoyan V.A., Mathematical modeling of linear, quasilinear and nonlinear dynamic systems [in Ukrainian], VPTS “Kyivskyi universytet”, Kyiv, 2011.

  6. Skopetsky V.V., Stoyan V.A., Zvarydchuk V.B., Mathematical modeling of dynamics of distributed space-time processes (in Ukrainian), Stal, Kyiv, 2008.


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