Optimised inner boundary shapes in circular rings under diametral compression

摘要

Using a method developed by the authors, the configuration of the inside boundary of circular rings, subjected to diametral compression, has been optimised, keeping cleared the space enclosed by the original circular inside boundary. The range of diameters studied was 0.33ID/OD0.7. In comparison with circular rings of the same ID/OD, the stress concentrations have been reduced by about 30, the weight has been reduced by about 10 and coefficients of efficiency of about 0–96 have been attained. The maximum values of compressive and tensile stresses on the edge of the hole, are approximately equal, there are practically no gradients of stress along the edge of the hole, and sharp corners exhibit zero stress. The geometries for each ID/OD design are given in detai