Numerical and Experimental Estimation of Heat Conductivity for Space Antenna Reflector Material

Denisov, O. V.; Kirbai, Anton A.; Minakov, Dmitrii S.

doi:10.1051/matecconf/20152301016

Cited by 2 publications

(1 citation statement)

References 2 publications

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“…Переваги даної конфігурації засновані на геометричних властивостях параболи, оскільки сферичні хвилі, які випромінюються джерелом і розміщені в фокальній точці, перетворюються у плоскі хвилі, спрямовані уздовж осі обертання апертури [1]. Питанням дослідження термомеханічного поводження рефлекторів присвячена велика кількість робіт [2][3][4][5]. У даний час недостатньо вивчені питання про розподіл температурних полів у рефлекторах [1].…”

Section: вступ постановка проблеми аналіз останніх досліджень і публі...unclassified

Mathematical modeling of temperature fields of spacecraft antenna reflectors with a new inte-gral transformation

Berdnyk¹

2022

MMS

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Prediction of the mechanical properties of the reflector, and above all, the deviation of the highly accurate shape of the reflecting surface (RSS) from the given one is the main goal of designing spacecraft antennas. Distortion of the RSS is determined by the stress-deformed state of the elements of the reflector structures under the conditions of orbital operation. At the same time, the main factor determining the distortion of reflectors with RSS in open space is temperature deformation due to the uneven distribution of solar heat fluxes among structural elements. Therefore, the development of methods and models for calculating temperature fields in reflectors during heat flows on the surface is relevant. In the article, for the first time, a new finite integral transformation for the Laplace equation in a cylindrical coordinate system is constructed for a region bounded by several closed piecewise smooth contours. The inverse transformation formula is given. In the article, for the first time, a mathematical model for the calculation of temperature fields in a paraboloid rotating with a constant angular velocity is constructed, taking into account the finite speed of heat propagation in the form of a boundary value problem of mathematical physics for the hyperbolic equation of heat conduction with Dirichlet boundary conditions. With the help of the developed integral transformation, the temperature fields in the paraboloid were found in the form of convergent series according to the Fourier functions. The found solution to the generalized boundary value problem of the heat transfer of the paraboloid of rotation can find application in modulating the temperature fields that arise in the antenna reflectors of space vehicles. The developed integral transformation makes it possible to obtain solutions to complex boundary value problems of mathematical physics.

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Section: вступ постановка проблеми аналіз останніх досліджень і публі...unclassified

Mathematical modeling of temperature fields of spacecraft antenna reflectors with a new inte-gral transformation

Berdnyk¹

2022

MMS

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Estimation of the thermal state of a large reflector taking into account the rods mutual shading

Pahomov¹

2019

XLIII ACADEMIC SPACE CONFERENCE: Dedicated to the Memory of Academician S.P. Korolev and Other Outstanding Russian Scientists –

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Numerical and Experimental Estimation of Heat Conductivity for Space Antenna Reflector Material

Cited by 2 publications

References 2 publications

Mathematical modeling of temperature fields of spacecraft antenna reflectors with a new inte-gral transformation

Mathematical modeling of temperature fields of spacecraft antenna reflectors with a new inte-gral transformation

Estimation of the thermal state of a large reflector taking into account the rods mutual shading

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