Stability of an Infinitely Long Cylindrical Shell under the Action of External Pressure Created by Winding Flexible Filaments

The article deals with the problem of stability of an infinitely long cylindrical shell, on which absolutely flexible threads are wound under tension, compressing the shell so that it can lose stability. Using the equations of the nonlinear theory of shells, an exact solution is obtained that determines the critical tension of the threads. It has been established that the critical tension is determined by a universal formula that includes the radius and flexural rigidity of the shell. Using the concept of continuing loading, the obtained solution is generalized to the case of an elastic-plastic shell material. The problem of pressure on an elastic shell by layers of elastic threads wound with tension is considered. The solution is compared with the results of an experiment carried out on shells made of steel, aluminum and thermoplastic.