On the Theory of Nearly Spherical Thin Shells
G.Ae. Oravas · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1958
Abstract A novel approximate theoretical solution is presented in this paper for the boundary disturbance of thin elastic shells of revolution with a nearly spherical middle surface and constant thickness. The indicated solution is a procedure of successive corrections, which was originally used by S. D. Poisson in handling non‐linear differential equations and introduced into thin shell analysis by E. F. Burmistrov.