| The behaviors of arches are nonlinear and sensitive to the buckling conditions. This thesis investigates the equilibrium states of a inextensible thin arch with rotational resistance at both edges under uniform normal pressure. The results can be applied to the design of pressure-vessels and submarine hatches.; The balance of forces of an elemental length is considered to establish the governing nonlinear differential equation. An energy method is taken to derive variational formulation which will be used to prove existence of solution. Bifurcation problems are solved with a perturbation method. Numerical solutions are obtained by applying a shooting method based on the Runge-Kutta. It was found that the behavior of the arch exhibits interesting phenomena such as critical load, non-uniqueness, stability, and snap-through. |
