Title | Optimal control of the process of axisymmetric nonlinear heating of an unbounded plate taking into account restrictions |
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Authors | N. D. Morozkin^{1}, V. I. Tkachev^{1}, Y. N. Morozkin^{1}^{1}Ufa University of Science and Technology |

Annotation | The problem of optimal heating of a brittle plate in terms of speed is studied, taking into account restrictions on thermal stress and maximum temperature, as well as taking into account the dependence of the thermal conductivity coefficient and brittle strength limits on temperature. An iterative method for searching for optimal control has been developed and implemented in the form of a computer program in the case where the dependence of the brittle strength limits on temperature is approximated by exponential functions, and the dependence of the thermal conductivity coefficient on temperature by a linear function. The results of computational experiments are presented. |

Keywords | optimal heating, thermal stress, speed, unlimited plate. |

Citation | Morozkin N. D., Tkachev V. I., Morozkin Y. N. ''Optimal control of the process of axisymmetric nonlinear heating of an unbounded plate taking into account restrictions'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 26-28, 2024). Saransk: SVMO Publ, 2024. - pp. 129-134. Available at: https://conf.svmo.ru/files/2024/papers/paper22.pdf. - Date of access: 12.11.2024. |

**© SVMO, National Research Mordovia State University, 2024**

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