A Refined Solution to the System of Differential Equations in the Problem of Bending in Thin-Shell Waveguide Structures

Authors: Sil’chenko P.N., Kudryavtsev I.V., Mikhnev M.M., Gotselyuk O.B. Published: 14.09.2017
Published in issue: #5(116)/2017  

DOI: 10.18698/0236-3941-2017-5-4-21

Category: Mechanics | Chapter: Dynamics and Strength of Machines, Instruments, and Equipment  
Keywords: straight section, thin-walled elements, plate, shell, nonaxisymmetric cross-section, bending, system of differential equations, semi-inverse Saint-Venant method, analytical solution, stress-strain state, waveguide

We suggest a particular analytical solution to a system of linear partial differential equations for computing the stress state parameters of thin-walled straight sections belonging to waveguides found in waveguide switch systems of communication spacecraft. We take into account the basic requirements for structural, functional and performance parameters of waveguides subjected to bending, using the concepts of the plate and shell theory employing the semi-inverse Saint-Venant method for displacements and stresses that makes it possible to find the stress-strain state at any point in the structure. We derive equations determining refined normal stress values in a waveguide subjected to bending and deduce the presence of local tangent stress regions in the zones where the plates forming its cross-section join


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