冲击作用下刚塑性拱的大变形响应分析

本文对受集中冲击作用的深圆拱的刚塑性动力响应进行了理论分析和数值计算，用瞬时构形法得到了问题的全程解，提出发生反向弯曲的必要条件和反向弯曲变形的近似分析方法，确定了反向弯曲出现的临界冲击速度范围，并讨论质量比，能量比和支承条件对结构的响应时间，塑性形区域和最变形的影响。本文理论分析结果与实验数据吻合。

DYNAMIC LARGE DEFORMATION RESPONSE OF RIGID PLASTIC ARCHES UNDER IMPACT

This paper presents a theoretical analysis of the dynamic large deformation response of highly circular arches under impact. By the Instantaneous Configuration Method(ICM),the solutions of the entire large deformation response process of the problem are obtained. The influences of the mass ratio, the energy ratio and the supported condition on the final deformation,the response time and the occurrence of plastic deformation are discussed in detail.The necessary condition for the occurrence of local reverse bending phenomenon has been found. An approximate method is provided to describe the phenomenon. The numerical results are in good agreement with eXperimental data.