Title | Cable oscillations on the section of the area of application of insulation |
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Authors | V. N. Anisimov^{1}, I. V. Korpen^{1}, S. N. Kosinova^{1}, V. L. Litvinov^{1}^{1}Syzran’ Branch of Samara State Technical University |

Annotation | Researches the transverse vibrations of the cable in the area where the insulation is applied to it. The model takes into account the cable tension, variable bending stiffness, resistance of the external environment. The object belongs to a wide range of one-dimensional objects with moving boundaries. Moving boundaries complicate the description of such objects. In this paper, using the Galerkin method, a fourth-order algebraic equation is obtained, which makes it possible to obtain two first natural frequencies of cable oscillations. Results can be used to ensure reliable operation of the technological installation for the manufacture of cables. |

Keywords | oscillations of objects with moving boundaries, boundary value problems, resonant properties, cable oscillations, natural frequencies. |

Citation | Anisimov V. N., Korpen I. V., Kosinova S. N., Litvinov V. L. ''Cable oscillations on the section of the area of application of insulation '' [Electronic resource]. Proceedings of the XIV International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 9-12, 2019). Saransk: SVMO Publ, 2019. - pp. 104-109. Available at: http://conf.svmo.ru/files/2019/papers/paper33.pdf. - Date of access: 26.05.2020. |

**© SVMO, National Research Mordovia State University, 2020**

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