菱—方、椭—方孔型系统的拟Newton迭代算法  

DETERMINATION OF DIAMOND-SQUARE, OVAL-SQUARE PASS SERIES BY QUASI-NEWTON METHOD

作　　者：杭乃勤[1] 黄宁[1] 王申林[1] 沈巧珍[1] 段家田[2] 杨大可[2] 董素梅[2] 胡银章 

机构地区：[1]武汉冶金科技大学 [2]武汉钢铁(集团)公司 [3]大冶特殊钢股份有限公司

出　　处：《钢铁》1997年第4期35-40,86,共7页Iron and Steel

摘　　要：提出一种通过求解非线性方程组确定中间菱形、椭圆孔型尺寸的方法。文中以Мутъев和Wusatowski宽展公式为例,讨论了求解菱一方和椭一方孔型系统时非线性方程组的建立方法,并采用拟Newton法对方程组求解。该算法可靠性好,计算效率高且具有通用性,算法误差为:△H_1/H_1<0.3%、△B_2/B_1<0.1%、△F_1/F_1<0.2%。This paper describes the method for solving system of nonlinear equations to design the size of the diamond and oval passes between square passes. Taking and Wusatowski's spread equation as an example, the method of establishing system of nonlinear equations and solution by Quasi-Newton method are discussed. The method has satisfactory reliability and efficiency, and also is good for common use. The calculation errors: ΔH_1/H_1<0.3%、ΔB_1/B_1<0.1%, ΔF_1/F_1<0.2%.

关 键 词：孔型系统 拟NEWTON法 自由宽展 轧制 

分 类 号：TG332[金属学及工艺—金属压力加工]