PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING

摘要

It has been shown that the non-linear behaviour of a pin-ended circular arch with unequal rotational end restraints is complicated. The arch with unequal rotational end restraints under a central concentrated load may have a nonlinear equilibrium path that consists of one, two, or four unstable equilibrium paths and two or four limit points, and it may even have a nonlinear looped equilibrium path in some cases. However, it is conventionally thought that the nonlinear equilibrium path of a pin-ended circular arch under the central concentrated load has only one unstable equilibrium path with two limit points. This paper revisits the non-linear in-plane responses of pin-ended circular arches to the central concentrated load. It is shown that the equilibrium path of the non-linear in-plane responses may also has three, five, or nine equilibrium paths with two, four, and eight limit points. It is found the modified slenderness of an arch plays an important role for the number of the unstable paths and limit points.