Multiple unstable equilibrium branches and non-linear dynamic buckling of shallow arches

摘要: Abstract An arch under a suddenly-applied load will oscillate about its equilibrium position. If the is sufficiently large, oscillation may reach position on unstable branch of arch, triggering dynamic buckling. In many cases, arches are supported by other structural members or elastic foundations which provide types rotational restraints to ends arch. When end an not equal each other, in-plane non-linear path have multiple branches, influence buckling significantly. This paper investigates effects branches shallow circular central concentrated load. Two methods based energy approach used derive loads. It found that number and magnitude loads influenced significantly stiffness unequal restraints, included angle slenderness ratio