(四川省冶金研究所，成都 610081)
摘 要: 在實(shí)際沖杯過程中會產(chǎn)生數(shù)個制耳(通常為4個或8個)，且每個制耳不一定都一樣高，傳統(tǒng)的制耳率計(jì)算公式是由算術(shù)平均法推導(dǎo)出來的。通過數(shù)學(xué)推導(dǎo)和論證發(fā)現(xiàn)這種計(jì)算方法誤差很大，且自相矛盾。由此提出新的設(shè)想：每個制耳對平均制耳率的貢獻(xiàn)是不一樣的，并以制耳的相對高度作為加權(quán)系數(shù)，從而推導(dǎo)出新的平均制耳率計(jì)算公式。經(jīng)驗(yàn)算，該公式的計(jì)算精確度更高，并發(fā)現(xiàn)傳統(tǒng)的平均制耳率計(jì)算公式只是新公式中當(dāng)每個制耳大小相等時的一個特例。
關(guān)鍵字: 沖杯 制耳 制耳率
（Sichuan Institute of Metallurgy Research, Chengdu 610081, P. R. China）
Abstract:There are several(usually 4 or 8) earings formed in the practical cupping process, and the earings may be different in height. The conventional calculation formulae for earing ratio were derived from the arithmetic mean method, and through mathematical derivation and demonstration, it was found that this method has very large error and contradicts itself. Assuming that the contributions of each earing to the earing ratio is different, and the relative heights are used as weight coefficients, a new calculation formula for earing ratio has been derived. Computation checking showed that the new formula has higher precision than the conventional formulae and the conventional calculation formulae are only the specific case of the new one when the earings are equivalent.
Key words: cupping: earing; earing ratio
