On large deformations of elastic rings via phase-plane discussion

摘要

The paper presents a mathematical investigation of finite deformations of circular elastic rigns under concentrated forces, that is done by a combination of phase-plane dis- cussion and numerical calculations. Emphasis is on quantitative results utilizable in engi- neering practice, however, bifurcations of equilibrium are described as well. The investigation aims at the use of ring-shaped compliant elements in both macro-and micro-structures.