Theoretical analysis and prototype machine of rotating compressing forming of cylinder

[[abstract]]傳統的圓柱壓縮成形技術，所產生之壓縮負荷大，且圓柱側表面容易產生鼓起，故造成能源消耗大及影響產品精度。若能採用旋轉壓縮成形技術，使圓柱旋轉，並施加壓縮負荷，有助於減少壓縮負荷及圓柱側表面鼓起效應。為了便於建立解析模式，假設不考慮側表面鼓起效應，以雙流線函數及上界限法建立解析模式以求得壓縮負荷。藉由流線函數所定義之動可容速度場，建立旋轉壓縮成形所需之上界限能量消耗的總功率。進而利用能量最小化方法以求得最佳之可變參數。藉由分析模式結果顯示，工件旋轉且壓下率增加時，壓縮負荷減少之效果會因幾何外觀比（h0 / d0）增加而增加。工件旋轉之角速率增加在高摩擦時，壓縮負荷減少之效果，較為明顯。 再者，為了進一步探討實際旋轉壓縮成形之情況，在完成本研究的同時，將特別設計與製作旋轉壓縮成形之原型機，以便於未來更進一步進行實驗驗證。[[abstract]]The compression force generated is large and the side surface of cylinder is easy to cause bulge by using the traditional compression forming technology. It makes the energy consumption and affects the precision of product. Letting the cylinder rotate and applying the compression force in using the rotating compression forming technology will be helpful for reducing the compression force and the bulge effect of side surface of cylinder. With a view to establishing an analytical model based on dual streamline function and upper bound method to obtain the compression force assuming no bulge effect on side surface. The total power rate of energy consumption based on the upper bound method is constructed by way of streamline function defined by the kinematically admissible velocity field. Moreover the optimum variable parameters are obtained by using the energy minimum method. According to the analytical model shows that, the cylinder rotated and reduction ratio increasing, effect of reducing the compression force will be increased with the ratio of thickness to diameter（h0 / d0）increase. The angular velocity of cylinder increased, higher frictional factor, compression force reducing effect increase, too. In addition, for the purpose of investigating the further realistic rotating compression forming situation, in this study the prototype machine of rotating compression forming is especially designed and manufactured in order to perform further experimental verifications in the future