四辊万能孔型中轨形件宽展的数值解

Numerical Solution of Wide Spread Deformation of Rail Stock in 4 Roll Universal Rolling Pass

根据轨形件的形状特点和其在四辊万能孔型中变形特征，简化了其断面形状，并划分成７个区域．建立了各区的运动许可速度场，得到含５个变分参数总功率泛函表达式．由泛函极小化条件，用Ｐｏｗｅｌ算法，求解出轨形件头部和底部宽展的数值解．计算表明，头与底部宽展规律不同。

Based on rail stock cross section shape and its deformation characters,the rail stock cross section shape has been simplified,and divided into 7 zones. Kinetically admissible velocity field has been established and power function ? with 5 variation parameters has been calculated with Powell calculation method on the condition of minimization of function ⅵ? so that a numerical solution of wide spread of head and foot of rail stock can be gotten. The wide spread characters of head and foot of rail stock are different. A comparison between experimental results and prediction from the calculation shows that there is good agreement between practice and theory.