Доступ предоставлен для: Guest
Journal of Automation and Information Sciences

Выходит 12 номеров в год

ISSN Печать: 1064-2315

ISSN Онлайн: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

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

Том 48, Выпуск 7, 2016, pp. 55-64
DOI: 10.1615/JAutomatInfScien.v48.i7.60
Get accessGet access

Краткое описание

There was solved the problem of constructing three-dimensional field of transverse dynamic displacements of a thick elastic layer loaded surface with normal and tangent dynamic efforts under discretely and continuously determined observations of its initial state. The number of such observations as well as the regions in which they are given are not regulated. The uniqueness conditions of the obtained solution and its mean square consistency with observations of a layer are determined.

ЛИТЕРАТУРА
  1. Timoshenko S.P., Voynovskiy-Kriger S., Plates and shells (in Russian), Fizmatlit, Moscow, 1966.

  2. Grigolyuk E.I., Selezov I.T., Mechanics of solid deformable body. V.5, Nonclassical theories of rods, plates, shells vibrations (in Russian), VINITI, Moscow, 1973.

  3. Stoyan V.A., Dvirnychuk K.V., To construction of differential model of transverse dynamic displacements of thick elastic layer, Mezhdunarodnyi nauchno-tekhnicheskiy zhurnal "Problemy upravleniya i informatiki", 2012, No. 4, 74–83.

  4. Lurie A.I., Spatial problems of elasticity theory (in Russian), Gostekhizdat, Moscow, 1955.

  5. Stoyan V.A., Dvirnychuk K.V., On integral model of transverse dynamic displacements of a thick elastic layer, Mezhdunarodnyi nauchno-tekhnicheskiy zhurnal "Problemy upravleniya i informatiki", 2013, No.1, 70–82.

  6. Stoyan V.A., Mathematical modeling of linear, quasi-linear and nonlinear dynamic systems (in Ukrainian), VPTS "Kyivskyi universytet", Kyiv, 2011.

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

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

Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции Цены и условия подписки Begell House Контакты Language English 中文 Русский Português German French Spain