Bending of an Eccentric Circular Ring with a Cut-Out Portion by Uniformly Distributed Pressure on the Outer Circumference

Abstract

To investigate the bending action of a piston ring assembled with the piston in the cylinder, we considered an eccentric circular ring with a cut-out portion subjected to a uniformly distributed pressure on its outer circumference. Using the theory of elasticity for plane stress and bipolar coordinates, we obtained exact solutions for stress and displacement of any part in the ring. Further we calculated the stress distribution and the displacement along the inner edge and the tangential deflection at the end on several examples.