A new approach to stress analysis of various wound vessels

As the width of windings of wound pressure vessels increases, the vessels are categorized as filament-wound, ribbon-wound, thin plate-wound, and finally the conventional multilayered vessels. The filament-wound vessel is one of the wound vessels with small winding width. A multilayered vessel can be regarded as one where the winding width is very great. Based on winding width, the other types of wound vessels are structurally situated between the filament-wound vessel and the multilayered vessel. As the winding width increases, the stress state in the windings gradually changes from purely biaxial to triaxial, and the windings are able to carry more axial load. Therefore, the windings and the inner shell of any wound vessel should mechanically behave in a state between that of the filament-wound and non wound multilayered vessels, depending on winding width. By utilizing an analysis technique, analogous to mathematical interpolation, a new approach for calculating stresses for various wound vessels has been developed. The technique uses the stresses in the filament-wound vessel and of the multilayered vessel with the same dimensions, and compensates for the winding width through the use of a weighting factor. Comparisons between theoretical analyses and experiments are given for fiat steel ribbon-wound vessels. The results show that the calculated stresses at the inside surface of inner shell are in very good agreement with published experimental data.