Казанский (Приволжский) федеральный университет, КФУ
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ФЕДЕРАЛЬНЫЙ УНИВЕРСИТЕТ
 
SIMULATION OF A LOSS IN STABILITY OF THE MIDDLE LAYER OF THE THREE-LAYERED ROD UNDER TENSION
Форма представленияСтатьи в зарубежных журналах и сборниках
Год публикации2021
Языканглийский
  • Тазюков Булат Фэридович, автор
  • Библиографическое описание на языке оригинала Kayumov R. A., Tazyukov B. F., Mukhamedova I. Z., Simulation of a Loss in Stability of the Middle Layer of the Three-Layered Rod Under Tension//LOBACHEVSKII JOURNAL OF MATHEMATICS. - 2021. - Vol.42, Is.12. - P.2808-2815.
    Аннотация An approximate model of the process of loss in carrying capacity of the three-layered rod under tension is proposed. The criterion of failure is a loss in stability of the middle layer. The critical load is calculated according to the classical expression for it in a problem of the compression of the rod in an elastic medium. A technique has been developed to determine the coefficient of subgrade reaction for the middle layer based on a comparison of analytical and numerical solutions to the problem of bending a beam on an elastic foundation with known geometric and mechanical parameters (a two-dimensional finite-element model is used for the numerical solution). On the basis of the performed calculations, the regularities of the change in the coefficient of subgrade reaction are revealed depending on a variation of the geometric and mechanical parameters; these regularities are presented in a form of the regression function. Some dependences of the critical load on these parameters are obtained.
    Ключевые слова model, three-layered rod, loss in stability, middle layer, bending a beam, numerical experiment
    Название журнала Lobachevskii Journal of Mathematics
    URL https://link.springer.com/article/10.1134/S1995080221120167
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