一、概述锻造大型钢锭时,为了使空隙闭合,重要的是要有足够大的变形程度.因此,希望能预先计算出空隙的闭合条件.镦粗有缩管的钢锭用数学来描述,其基本想法已经有过论述.因此本文,仅针对三个计算量不同的以上限法为依据的模型,用一个例子进行讨论,并计算为闭合空隙所必需的最小锻造比. I. Overview Forging large ingots, in order to close the gap, it is important to have a large enough degree of deformation, therefore, I hope to be able to pre-calculate the gap closure conditions upsetting the shrink tube ingot mathematical description, the basic The idea has already been discussed, so this article only addresses three models based on the upper bound method with different amounts of calculations, using an example for discussion and calculating the minimum forging ratio necessary to close the gap.