KFU. Card publication. Simulation of a Loss in Stability of the Middle Layer of the Three-Layered Rod Under Tension

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SIMULATION OF A LOSS IN STABILITY OF THE MIDDLE LAYER OF THE THREE-LAYERED ROD UNDER TENSION

Form of presentation

Articles in international journals and collections

Year of publication

2021

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Authors, employees of KFU

Tazyukov Bulat Feridovich, author

Bibliographic description in the original language

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.

Annotation

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.

Keywords

model, three-layered rod, loss in stability, middle layer, bending a beam, numerical experiment

The name of the journal

Lobachevskii Journal of Mathematics

URL

https://link.springer.com/article/10.1134/S1995080221120167

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=261467&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Tazyukov Bulat Feridovich	ru_RU
dc.date.accessioned	2021-01-01T00:00:00Z	ru_RU
dc.date.available	2021-01-01T00:00:00Z	ru_RU
dc.date.issued	2021	ru_RU
dc.identifier.citation	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.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=261467&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	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.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	model	ru_RU
dc.subject	three-layered rod	ru_RU
dc.subject	loss in stability	ru_RU
dc.subject	middle layer	ru_RU
dc.subject	bending a beam	ru_RU
dc.subject	numerical experiment	ru_RU
dc.title	Simulation of a Loss in Stability of the Middle Layer of the Three-Layered Rod Under Tension	ru_RU
dc.type	Articles in international journals and collections	ru_RU