用上限法解析三輥穿孔過(guò)程的力能參數(shù)

Using Upper Bound Method to Analyze Force Parameters of Three-roll Piercing Process

摘要: 適當(dāng)簡(jiǎn)化三輥穿孔機(jī)穿孔變形過(guò)程(只有軸向和徑向應(yīng)變的平面應(yīng)變),將穿孔變形區(qū)分成4部分,建立各變形區(qū)的速度場(chǎng),用上限法解析各變形區(qū)的變形功率,并根據(jù)軋制力所做的功率等于各變形區(qū)消耗的功率之和求出軋制力。實(shí)例說(shuō)明,對(duì)于徑壁比大于10.0的薄壁管,采用該方法計(jì)算的理論值與實(shí)測(cè)值相對(duì)誤差較小,可在實(shí)際工程中應(yīng)用。

Abstract: The deformation process of the three-roll piercing mill is properly simplified,and thus there exist only the plane strains,i.e.,the axial strain and the radial strain. And the piercing deformation zone is divided into four areas,and the velocity field for each deformation area is set up. Accordingly,the deformation power of each individual deformation area is analyzed with the upper bound method,and the rolling force is identified by the rule that the rolling force equals to the sum of the power consumptions of all the deformation areas. Relevant operation cases demonstrate that when rolling light-wall tubes with D/S above 10.0,the relative difference between the theoretic value from the calculation with the above mentioned method and the measured value is small,which means that the former can be used for actual operation.