建立了用于板料成形分析的动力显式算法有限元模型,采用中心差分法导出了显式向前计算格式,由此可以避免因几何及材料非线性引起的迭代计算。利用集中质量矩阵和Rayleigh阻尼形式使计算大大简化。为了保证中心差分计算的稳定性,根据Gerchgorin定理对计算时间步长进行了估计。在此模型的基础上开发了有限元程序,并对方盒零件和汽车内覆盖件的成形进行了模拟计算。 The finite element model of dynamic explicit algorithm for sheet metal forming analysis was established, and the explicit forward calculation format was derived by center difference method, which can avoid the iterative calculation caused by geometric and material nonlinearity. The use of a centralized mass matrix and Rayleigh damped form greatly simplifies the calculation. In order to ensure the stability of the central difference calculation, the calculation of the time step is estimated according to Gerchgorin’s theorem. Based on this model, a finite element program was developed, and the forming of the box parts and the automobile interior cover were simulated.