强脉冲载荷作用下弹-塑性薄圆板的大挠度动力响应

Dynamic Response Analysis of Elastic-plastic Thin Circul ar Plates under Impulse Loading with Considenration of Large Deflection

利用有限变形弹塑性连续体的最小加速度原理 ,建立了分析圆板动力响应问题的数值方法 ,并通过对均匀分布的脉冲载荷作用下铰支圆板位移响应的细致分析 ,探讨了响应过程中的饱和冲量现象 ,指出对于高载范围内的脉冲载荷 ,相应于最大变形的饱和冲量确实是存在的。结果还表明 ,虽然圆板的弹塑性动力分析非常复杂 ,但基于最小加速度原理的数值计算方法却具有简单、直接的优点。

In this paper,based on the minimum principle in dynamics of elastic-plastic continua at finite deformation,a nume rical method for analyzing dynamic response of thin circular plates,is presented .By careful study to the deflection response of a hinged-fixed circular plate u nder concentrated impulse loading,the saturated impulse phenomenon in the proces s of response is discussed.It is yet shown that the method proposed in the paper is simple and straightforward.