Сравнительная оценка решении системы дифференциальных уравнении в задаче изгиба прямых участков волноводов космических аппаратов связи

18 / 20

Сравнительная оценка решений системы дифференциальных уравнений…
ISSN 0236-3941. Вестник МГТУ им. Н.Э. Баумана. Сер. Машиностроение. 2017. № 1 21
Просьба ссылаться на эту статью следующим образом:
Кудрявцев И.В., Сильченко П.И., Михнёв М.М., Гоцелюк О.Б. Сравнительная оценка
решений системы дифференциальных уравнений в задаче изгиба прямых участков вол-
новодов космических аппаратов связи // Вестник МГТУ им. Н.Э. Баумана. Сер. Маши-
ностроение. 2017. № 1. С. 4–23. DOI: 10.18698/0236-3941-2017-1-4-23
COMPARATIVE EVALUATION OF DIFFERENTIAL EQUATION
SOLUTIONS IN THE PROBLEM OF WAVEGUIDE STRAIGHT SECTIONS
BEND IN COMMUNICATION SPACECRAFT
I.V. Kudryavtsev1
P.N. Sil'chenko1
M.M. Mikhnev2
O.B. Gotselyuk2
1 Siberian Federal University, Krasnoyarsk, Russian Federation
2 JSC Academician M.F. Reshetnev Information Satellite Systems, Zheleznogorsk, Krasno-
yarsk Region, Russian Federation
Abstract Keywords
It is possible to create the extended thin-walled waveguide
structures with minimum mass parameters and the best
functional and operational characteristics only when using
the corresponding specified calculation methods and sol-
ving the nonlinear differential equations describing the
static, dynamic and thermoelastic states. The study gives
the analytical solution of the system of nonlinear differen-
tial equations in quotient derivatives describing the deflec-
ted mode of the thin-walled structures of the rectangular
cross-sectional waveguides straight sections at their bend.
We evaluated such solution and compared it to other
known methods. In particular, we compared the maximum
stress values when the straight sections of the thin-walled
waveguides of various standard sizes are bent. The values
were obtained by applying the offered technique and as a
result of calculation using Navier formula. We also applied
a numerical finite-element method in ANSYS and used
various types of finite elements. Findings of the research
revealed some features of waveguides stressed state at the
bend, and helped to specify the fields of applying various
types of finite elements
Spacecraft, waveguide, straight sec-
tion, nonaxisymmetric cross-section,
thin-walled elements, plate, deflect-
ted mode, calculation methods, ana-
lytical solution, Navier formula,
finite-element method
REFERENCES
[1] Sil'chenko P.N., Kudryavtsev I.V., Mikhnev M.M., Nagovitsin V.N. Method of stress-
deformation distribution computation for waveguide spacecraft systems. Zhurnal SFU.
Tekhnika i tekhnologii [Journal of SibFU. Engineering and Technologies], 2012, no. 2,
pp. 150–161 (in Russ.). Available at:
03_Silchenke.pdf?sequence=1