重构核粒子法在结构动力响应分析中的应用研究

Reproducing kernel particle methods—RKMP is a meshless method that is widely applied in structural dynamic analysis. In this paper, according to the basic theory of meshless method and structural dynamics, dynamic equations based on RKMP for beam and plates were deduced, and the correlative program was written. The displacement response of damped beam and plate under different boundaries and types of load was computed. The effect of penalty factor and time step on the calculated accuracy was discussed, and then these results were compared with finite element analysis results. It shows that this method has a good convergence and accuracy, and a new numerical computation method is presented for structural dynamic response analysis.