摘要：The dynamic in-plane instability process of pinended arches under a central radial impact applied is analyzed with numerical simulation method. Based on energycharacteristics of arch under impact, the method for determining the critical state of dynamic stability of both elasticarch and elastic–plastic arch under impact are discussed inthis paper. The calculation results show that the strain energy of the elastic arch at dynamic stable critical state is consistent with that at a state after buckling under static load inwhich the bearing capacity of the arch drops to zero, and thedifference between them are very small and no more than3.6%. When impact act on the arch with dynamic criticalinitial conditions, the converter efficiencies from initial kinetic energy possessed by the rigid body to elastic strain energy of arch approaches 100%, therefore a feasible methodis provided to determine the dynamic stability of elastic archunder impact on the energy method. Then the impact analysis of arch considering material nonlinearity is carried out,it is proposed that the instability of elastic-plastic arch canbe judged by the forming of plastic hinges at about 1/4 onboth sides of the arch. It is found that the elastic strain energy of elastic-plastic arch at dynamic stability critical stateis very close to maximum elastic strain energy of the archunder static load, and the differences between them are nomore than 3%.
关键词：Rigid body impact;critical stable state;elasticstrain energy;material nonlinearity
