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关于连轧张力微分方程,Phillips最早建立目前常用的下式: (dσ)/(dt)=(E/l)(V′_2-V_1) (1)以后,也建立另一方程: (dσ)/(dt)=(E/l)[V′_2-V_1(1+ε)](1+ε) (2)不同意前人观点又建立一方程: (dσ)/(dt)=(E/l)(V′_2-V_1)(1+ε)~2 (3)张进之对连轧数学模型进行了深究,最近发表了连轧张力微方方程的一种新的表达形式: (dσ)/(dt)=(E/l)(V′_2-V_1)(1+ε) (4) 我认为上述方程(1)至(4)虽形式不同,但无原则上的区別,而且方程(2)较为严格。现讨论如下:
As for the tension differential equation of continuous rolling, Phillips established the most commonly used equation as follows: (dσ) / (dt) = (E / l) (V’_2-V_1) (1) / (dt) = (E / l) [V’_2-V_1 (1 + ε)] (1 + ε) (2) / 1) (V’_2-V_1) (1 + ε) ~ 2 (3) Zhang Jinzhi studied the mathematical model of tandem rolling and recently published a new expression for the tension equation of the rolling mill: (dσ) / (dt) = (E / l) (V’_2-V_1) (1 + ε) (4) I think the above equations (1) to (4) are different in principle but not in principle, 2) More stringent. Now discuss the following: