Exact Solution of a Geometrically Nonlinear Problem for a Shear-Compliant Oval Cylindrical Shell*.

A geometrically nonlinear problem for a shear-compliant long oval cylindrical shell undergoing uniform surface loading is stated and solved analytically. The basic equations are derived using the second-order geometrically nonlinear theory of shallow shells, Timoshenko's hypothesis, and Hooke's law. The exact expressions for the stress–strain state of a longitudinally hinged shell are obtained, the characteristic (limit) values of the generalized curvature parameter are determined, and the system of equations for finding the critical load is set up. Main partial and limiting cases are considered. [ABSTRACT FROM AUTHOR]