ALGORITHM OF SIMULATION OF THE BEHAVIOR OF A ROTATING FLEXIBLE THREAD IN THE ELASTOPLASTIC STATE 

Denis A. Tarasov, Candidate of technical sciences, associate professor of sub-department of automated security systems, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: tarasov.denis.penza@gmail.com
Natalia Yu. Mitrokhina, Candidate of technical sciences, associate professor of sub-department of theoretical and applied mechanics and graphics, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: natena1@yandex.ru
Erlan M. Erkebaev, Master degree student, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: erlanerkebaev@yandex.ru 

624.071.22:531.011 

10.21685/2227-8486-2021-1-9 

Background. An algorithm for modeling of a flexible thread rotation is proposed. The algorithm is based on the energy calculation method and allows to take into account the plastic deformations evolution in the material, which improves the results of modeling.
Materials and methods. The studies were carried out using the proposed method based on the general theorem of dynamics – the law of conservation of energy, the positions of the resistance of materials and mathematical modeling.
Results. A comparative analysis of the data obtained using a problem-oriented software complex that implements the proposed method and a commercial computer modeling system that implements the finite element method is carried out.
Conclusions. The use of the proposed algorithm will make it possible to determine the true stress-strain state of a rotating flexible thread. This will provide a more correct determination of the bearing capacity with increasing angular velocity and, accordingly, increasing centrifugal inertia force. 

stress, deformation, rotation, flexible thread, physical nonlinearity 

Tarasov D.A., Mitrokhina N.Yu., Erkebaev E.M. Algorithm of simulation the behavior of a rotating flexible thread in the elastoplastic state. Modeli, sistemy, seti v ekonomike, tekhnike, prirode i obshchestve = Models, systems, networks in economics, tech- nology, nature and society. 2021;1:107–118. (In Russ.). doi:10.21685/2227-8486-2021-1-9