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为了实现金属冷弯成形过程这一复杂的几何与材料双重非线性问题的数值仿真,在有限元方法与传统的有限条方法基础上,针对位移函数、位移-应变关系和坐标转换矩阵等基本列式进行了改进,建立了基于修正的拉格朗日方法的弹塑性大变形样条有限条方法,较好地处理了边界条件、不同构形下场量转换等问题。建立的对象模型与理论计算列式有效结合,成功实现了冷弯成形的全过程模拟。通过实例计算与分析,表明仿真结果可以表征成形过程中相关因素的影响程度,可为辊型设计提供一定的理论依据。
In order to realize the complex numerical simulation of the double nonlinear problem of the metal cold forming process, based on the finite element method and the traditional finite strip method, the basic functions such as displacement function, displacement-strain relation and coordinate transformation matrix The improved elasto-plastic large deformation spline finite strip method based on the modified Lagrange method is established, and the boundary conditions and the field transformation under different configurations are well handled. The established object model and the theoretical calculation of the effective combination of column, the successful realization of the whole process of cold forming simulation. Through the calculation and analysis of the examples, it is shown that the simulation results can characterize the influence of the relevant factors in the forming process and provide some theoretical basis for the design of the roller type.