提出一种新的线性化积分方法用于求解平锤头压缩带外端的矩形件。在锻压过程中,锤头没有覆盖整个工件,并且工件的侧面通过变形产生鼓形。应用该方法得到了平均锻压力,同时在求解的过程中进行了下列假设:工件与工具间的摩擦力为常数,工件是刚-塑性材料,锻压是在低速度下进行的。然后,通过纯铅的锻压实验,将由黄金分割法得到的优化结果与试验机的实测值进行比较,结果表明优化值比实测值高2.60%-10.14%,这在工程上都是允许的。 A new linear integral method is proposed to solve the rectangular part of the outer end of the flat hammer compression band. During the forging process, the hammer does not cover the entire workpiece, and the side of the workpiece is deformed into a drum shape. The average forging force is obtained by this method. Meanwhile, the following assumptions are made in the solution: the friction between work piece and tool is constant, the work piece is rigid plastic material, and forging is carried out at low speed. After that, the optimal results obtained by the golden section method were compared with those of the testing machine by the forging test of pure lead. The results show that the optimized value is 2.60% -10.14% higher than the measured value, which is allowed in engineering.