Comparative Evaluation of Differential Equation Solutions in the Problem of Waveguide Straight Sections Bend in Communication Spacecraft

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 solving the nonlinear differential equations describing the static, dynamic and thermoelastic states. The study gives the analytical solution of the system of nonlinear differential equations in quotient derivatives describing the deflected 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.

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