Abstract

Based on the theory of plates and shells, a method of modeling thin-walled beams is proposed. Using the tenets of the theory of plates and shells, Papkovich–Neuber solution, as well as the Saint Venant semi-inverse method, partial analytical solution of a system of nonlinear partial differential equations, is applied to calculate inertial stress action on the deflected mode of lateral plates of thin-walled straight parts of waveguides with a rectangular cross-section. The novelty of this article is in the fact that the conducted research proved the cause of the behavior of a waveguide with a rectangular cross-section. To achieve the desired results, calculation methods were used, based on the works of Vlasov, Bychkov, and Rzhanitsyn. The obtained results showed the correctness of this technique and revealed the necessity to specify the Zhuravsky formula when calculating shear stresses in thin-walled beams by Euler–Bernoulli beam theory.

Authors and Affiliations