刚塑性矩形板在冲击载荷作用下的一个新的界限

A New Bound Estimation for Quadrangular Plates under Impulsive Load

通过加权残数法,给出了考虑有限变形时刚塑性板在冲击载荷下的能量守恒方程。广义屈服条件由Mij 和Nij表示,通过将非光滑屈服函数用其内切和外接光滑函数代替,从而得到板位移的上、下界限解。采用此方法对一矩形板受横向冲击载荷进行了分析,计算结果与有关文献符合较好。

Based on the weighted residual method for the nonlinear dynamic equilibrium equation with finite deflection effect being taking into account, an energy conservation was established when the plate is subjectedd impulsive load. The constitutive equation for the plate material was assumed to be rigid-perfect plastic material, and the corresponding yield criterion for a rectangular cross section was extended to a generalized stress space constituted by Mij and Nij. The non-homogenous yield function was replaced by a circumscribing and an inscribing surface. Thus an upper and lower bound solution for the plate was given. As an example, a quadrangular plate was analyzed, and the results is consistent with that of relevant reference.