Научная электронная библиотека ULRICH'S Periodicals Directory

Сибирский государственный университет
науки и технологий имени академика М.Ф. Решетнева

Сибирский аэрокосмический журнал
ISSN 2712-8970 (Print) ISSN 2782-5760 (on-line)

Сведения об образовательной организации

UDK UDC 629.7.042.2.001.24:622.998 Doi: 10.31772/2587-6066-2019-20-1-62-67
PARAMETRIC IDENTIFICATION OF THE HEAT CONDITION OF RADIO ELECTRONIC EQUIPMENTIN AIRPLANE COMPARTMENT. P. 62–67.
Gusev S. A., Nikolaev V. N.
Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6, Academika Lavrent'eva Av., Novosibirsk, 630090, Russian Federation; Novosibirsk State Technical University, 20, K. Marksa Av., Novosibirsk, 630073, Russian Federation; Siberian Aeronautical Research Institute Named After S. A. Chaplygin, 21, Polzunova St., Novosibirsk, 630051, Russian Federation. E-mail: sag@osmf.sscc.ru
A mathematical model of the aircraft avionics thermal state describing the heat exchange of the onboard equipment housing with a honeycomb structure made of a carbon fiber composite, the process of heat transfer of the onboard equipment elements and the air is developed. The considered heat transfer process in a heterogeneous medium is described by the boundary value problem for the heat equation with boundary conditions of the third kind. To solve the direct problem of the onboard equipment housing with a honeycomb structure thermal state, the Monte- Carlo method on the basis of the probabilistic representation of the solution in the form of an expectation of the functional of the diffusion process is used. The inverse problem of the honeycomb structure heat exchange is solved by minimizing the function of the squared residuals weighted sum using an iterative stochastic quasigradient algorithm. The developed mathematical model of the onboard equipment in the unpressurized compartment thermal state is used for optimizing the temperature and airflow of the thermal control system of the blown onboard equipment in the unpressurized compartment of the aircraft.
Keywords: mathematical model, thermal state, honeycomb structure, parabolic boundary value problem.
References

1. Voronin G. I. Air-conditioning systems onboard the aircrafts. Moscow, Mashinostroenie Publ., 1973, 443 p.

2. Gusev S. A., Nikolayev V. N. Using a Monte Carlo Method for Estimation of the Thermal Process in the Honeycomb Panel. Siberian Journal of Science and Technology. 2017, Vol. 18, No. 4, P. 719–726 (In Russ.).

3. Dul'nev G. N., Tarnovskii N. N. Thermal conditions of electronics. Leningrad, Energiya Publ., 1971, 248 p.

4. Dul'nev G. N., Pol'shchikov B. V., Potyagailo A. Yu. Algorithms for hierarchical modeling of heat transfer processes in complex electronic systems. Radioelektronika. Electronics. 1979, No. 11, P. 49–54 (In Russ.).

5. Nikolaev V. N., Gusev S. A., Makhotkin O. A. Mathematical model of the convective radiant heat exchange of the venting heat-insulated unpressurized bay of the aircraft. A series of the aircraft strength. 1996, No. 1, P. 98–108 (In Russ.).

6. Misnar A. The thermal conductivity of solids, liquids, gases and their compositions. Moscow, Mir Publ., 1968, 460 p.

7. Ladyzhenskaya O. A., Solonnikov V. A., Ural'tseva N. N. Linear and quasilinear equations of parabolic type. Moskow, Nauka Publ., 1967, 736 p.

8. Sobolev S. L. Applications of functional analysis in mathematical physics. Moscow, Nauka Publ., 1988, 336 p.

9. Gusev S. A. Application of SDEs to Estimating Solutions to Heat Conduction Equations with Discontinuous Coefficients. Numerical Analysis and Applications. 2015, Vol. 8, No. 2, P. 122–134.

10. Himmelblau D. Process analysis by statistical methods. New York, Wiley, 1970, 463 p.

11. Gill P., Murray E. Quasi-Newton methods for unconstrained optimization. Journal of the Institute of Mathematics and its Applications. 1971, Vol. 9, No. 1, P. 91–108.

12. Artem'ev S. S., Demidov G. V., Novikov E. A. Minimization of ravine functions by numerical method for the stiff sets of equations solving. Preprint no. 74. Data center of Siberian Department of the Academy of Sciences of the USSR. Novosibirsk, 1980, 13 p.

13. Nikolayev V. N. Theoretical and Experimental Investigation of the Photographic Reconnaissance Plane Instrument bay Thermal State. Journal of Siberian Federal University. Engineering & Technologies. 2011, Vol. 3, No. 4, P. 337–347.

14. GOST RV 20.39.304-98. Complex system of General technical requirements. Equipment, instruments, devices and equipment for military purposes. Requirements for resistance to external factors. Moscow, Gosstandart of Russia Publ., 1998, 55 p.

15. Nikolaev V. N., Gusev S. A. Mathematical simulation of the unmanned aerial vehicle unpressurized compartment thermal state. Herald Novosibirsk State Technical University. 2018, No. 2 (71), P. 23–38 (In Russ.).


Gusev Sergey Anatolyevich – Dr.Sc., Senior Researcher, Institute of Computational Mathematics and Mathematical Geophysics SB RAS; Professor, Novosibirsk State Technical University. E-mail: sag@osmf.sscc.ru.

Nikolaev Vladimir Nikolaevich – Dr. Sc., Head of Department, Siberian Aeronautical Research Institute Named After S. A. Chaplygin. E-mail: sibnia@sibnia.ru.


  PARAMETRIC IDENTIFICATION OF THE HEAT CONDITION OF RADIO ELECTRONIC EQUIPMENTIN AIRPLANE COMPARTMENT. P. 62–67.