Complex equations of flexible circular ring shells overall-bending in a meridian plane and general solution for the slender ring shells

Abstract

Complex equations of circular ring shells and slender ring shells overall-bending in a meridian plane are presented based on E. L. Axelrad's equations of flexible shells of revolution under asymmetrical loading. It turns out that the equations are analogous to Novozhilov's equations of symmetrical ring shells, where general solutions have been given by W. Z. Chien. Therefore, by analogy with Chien's solution, a general solution for equations of the slender ring shells is put forward, which can be used to solve bellows overall-bending problems.