摘要
本文基于刚性板块的总体平衡,建立运动方程,首次完整地分析了正多边形板的塑性动力响应,得到了周边简支或固支的正多边形板在均布矩形脉冲作用下的塑性动力响应小挠度解析解,并用膜力因子法作了大挠度理论分析。所得的结果包含了作为特例的正方形板、圆板等情形,具有广泛应用价值,同时具有理论上和数学上的意义。
By setting the equations of motion on the basis of the total equilibrium of the rigid plate zones, the dynamic response of rigid-plastic regular polygonal plates is completely studied for the first time. The analytical expressions are obtained for the final deflections of simply-supported and built-in regular polygonal plates subjected to uniformly distributed rectanglar impulse, and the corresponding large deflection solutions are also obtained by a procedure called Membrane Factor Method. Obviously. the present analysis pertains to the important special cases of square plates and circular ones, so it is of theoretical as well as extensive practical significance.
出处
《爆炸与冲击》
EI
CAS
CSCD
北大核心
1991年第2期106-116,共11页
Explosion and Shock Waves
基金
国家教委博士点基金
关键词
正多边形
板
塑性动力响应
大挠度
regular polygonal plate, dynamic plastic response, large deflection, Membrane Factor Method
