Pressurized oval cylinders with closely spaced rings.

Abstract

An analysis is presented for the classical, linear, elastic behavior of a ring-reinforced oval cylinder subjected to a uniform hydrostatic pressure. Use is made of the theorem of the minimum of the total potential energy as well as an appropriate combination of the results of two previously published analyses. One of these deals with oval cylindrical shells alone, whereas the second deals with isolated oval rings. The combined analysis presented herein is employed to obtain numerical results for a limited parametric study which covers major-to-minor axis ratios in the range from 1.0 (circular cylinders) to 1.5. In addition to the anticipated result that the severity of the stresses and deformations generally increases as the major-to-minor axis ratio increases, a change from inside rings to outside rings, or vice versa, (all other parameters being held constant) generally results in radical changes in stress distribution throughout the entire oval cylinder.