Contact Problem for a Circular Cylindrical Shell.

A contact problem is considered for a circular cylindrical shell loaded with a normal external load and resting on a series of circular support lodgements. The contact of the shell takes place along the arc lines of the cross-section. The elastic properties of the lodgements are subject to Winkler's hypothesis. The problem is reduced to the solution of infinite systems of algebraic equations for the determination of the coefficients of the expansion of the contact pressure into a Fourier series. The example of a cylindrical tank filled with a liquid and resting on a support illustrates a simplified variant of the method evolved which makes it possible to obtain a solution in a closed form. Results are presented in the form of diagrams.