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网格质量在很大程度上影响着金属塑性成形有限元数值分析的准确性和分析过程的可持续性。基于新的网格单元畸变度量体系 ,文中设计了一种新的关于节点位移的无约束最优化的目标函数 ,该函数有效客观地反映了有限元计算网格的畸变程度 ,且通过求偏导数 (等于 0 ) ,可以得到问题求解的显式表达式。因此 ,算法具有设计合理、实现简便、保持拓扑性等特点。此外 ,该算法可用于包括二维和三维情形的几乎所有形状的网格 ,具有非常强的通用性
The quality of the grid greatly influences the accuracy of finite element numerical analysis of metal plastic forming and the sustainability of the analytical process. Based on the new grid element distortion measurement system, a new objective function for unconstrained optimization of node displacement is proposed in this paper. This function effectively and objectively reflects the degree of distortion of the finite element mesh. By calculating the partial derivative (Equal to 0), you can get the explicit expression of the problem solving. Therefore, the algorithm has the characteristics of reasonable design, easy implementation and maintaining the topology. In addition, the algorithm can be used in almost all shapes of meshes, including 2D and 3D cases, with very high versatility