General solution for c-shaped bellows overall-bending problems

摘要

Equations for overall-bending problems of slender ring shells are presented based on E. L. Axelrad's equations of shells of revolution with small deflection under asymmetrical loading. It turns out that the equations are analogous to that of simplified Novzhilov's equations of symmetrical ring shells, where general solutions have been given by W. Z. Chien. Hence, by analogy with Chien's solution, the authors put forward a general solution for the equations and use it to calculate the angular displacements and stresses for C-shaped bellows under bending moments.