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Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337

Выпуски:
Том 51, 2019 Том 50, 2018 Том 49, 2017 Том 48, 2016 Том 47, 2015 Том 46, 2014 Том 45, 2013 Том 44, 2012 Том 43, 2011 Том 42, 2010 Том 41, 2009 Том 40, 2008 Том 39, 2007 Том 38, 2006 Том 37, 2005 Том 36, 2004 Том 35, 2003 Том 34, 2002 Том 33, 2001 Том 32, 2000 Том 31, 1999 Том 30, 1998 Том 29, 1997 Том 28, 1996

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

Краткое описание

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.

ЛИТЕРАТУРА

  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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