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为了预测复杂空间曲面薄板冲压成形的回弹,以混凝土搅拌车螺旋叶片为例,提出了一种基于薄板能量函数的复杂空间曲面薄板的冲压成形回弹预测方法。首先通过粒子群优化算法得到毛坯直线在曲面上的映射,接着引入映射曲线上节点坐标参数u,并将节点转化为控制顶点;然后将由控制顶点表示的曲面函数代入由板壳理论建立的薄板能量函数,借助最小能量原理建立曲面节点应变的解析参数方程,求解方程即能得到曲面各节点应变;最后利用塑性变形理论推导复杂空间曲面各节点的回弹量,拟合回弹后重新分布的节点就能得到回弹后曲面。研究结果表明:基于能量函数的半解析半数值的薄板冲压回弹预测算法能够较为准确地预测螺旋叶片冲压成形的回弹,与现行的数值模拟法相比,简单易行,计算速度快,对复杂空间曲面预测具有一定的工程指导意义。
In order to predict the rebound of sheet metal stamping in complex space surface, a spiral spring blade of concrete mixer is taken as an example to propose a method of springback prediction for stamping of complex space curved sheet based on sheet energy function. Firstly, the particle swarm optimization algorithm is used to get the mapping of the blank straight line on the curved surface, then the coordinate u of the curve is introduced and the node is transformed into the control vertex. Then, the surface function represented by the control vertex is substituted into the sheet energy Function, the analytic parametric equation of the strain of the surface node is established by means of the minimum energy principle, and the strain of each node of the surface can be obtained by solving the equation. Finally, the elastic deformation of each node of the complex space surface is deduced by plastic deformation theory, You can get after the rebound surface. The results show that the semi-analytical semi-analytical method based on the energy function can predict the rebound of the helical blade stamping more accurately. Compared with the existing numerical simulation method, the springback method is simple and easy, Spatial surface prediction has some engineering significance.