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自动化与信息科学期刊
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

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自动化与信息科学期刊

DOI: 10.1615/JAutomatInfScien.v49.i4.60
pages 62-71

On Mathematical Models of Dynamics of Three-Dimensional Elastic Bodies. Part I. Bodies with Continuously Observed Initial Boundary State

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

ABSTRACT

Integral mathematical models of dynamics of unbounded three-dimensional elastic medium and spatially limited elastic body with arbitrary geometry of its external surface are constructed. Consideration is given to matters of steady state dynamics of a body with continuously observed surface. The dynamics of unbounded elastic medium by continuously determined initial state is investigated. The constructed mathematical models are analytically in accurate agreement with classical, well known Lame differential model of elastic medium dynamics, and by the root mean-square criterion − with available observations of initial boundary conditions of investigated objects. The accuracy of this agreement is estimated and conditions of its uniqueness are formulated.


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