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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.v49.i9.20
pages 20-28

On Mathematical Models of the Dynamics of Three-Dimensional Elastic Bodies. Part 2. Bodies with Discretely Observable Initial Boundary Condition

Vladimir Antonovich Stoyan
Kyiv National Taras Shevchenko University, Kyiv, Ukraine
Stepan T. Danysh
Kiev National Taras Shevchenko University, Kiev

Краткое описание

Based on the integral representation of solutions of differential mathematical models of the stable dynamics of spatially unlimited elastic medium in the Lame form an integral mathematical model of the initial boundary problem of the dynamics of an elastic body of arbitrary geometric configuration with arbitrary initial boundary conditions is constructed. The cases of both the spatial unlimited body and time interval, on which its dynamics is modeled, are considered. The constructed mathematical models, exactly satisfying classical mathematical models of three-dimensional theory of elasticity, according to the root mean square criterion, are agreed with the observations of its initial boundary state. The root mean square accuracy of modeling the initial boundary observations of a modeled object is estimated. These observations are defined in discretely determined surface-time points. The uniqueness conditions of researched mathematical modeling are also given in this paper.


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