Równania liniowej, zgięciowej teorii powłok o wolno zmiennych krzywiznach

In the paper the fundamental equations are presented of the theory of shells with slowly varying curvatures. In comparison with the author previous works, here, a consistent and complete derivation of the fundamental equations is given. The system of differential equations of the theory of shells has been reduced to the system of two differential equations for the normal deflection and the stress function. Two variants of the differential equations have been analysed and it has been proved that in the case of shells of slowly varying curvature they lead to the identical fundamental equations.