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金属学报  1979, Vol. 15 Issue (1): 23-38    
  论文 本期目录 | 过刊浏览 |
斜轧辊形设计中的数学方法
陈惠波
太原重型机器厂
A MATHEMATICAL TREATMENT ON CROSS ROLLER DESIGN
Chen Huibo Taiyuan Heavy Machinery Plant
引用本文:

陈惠波. 斜轧辊形设计中的数学方法[J]. 金属学报, 1979, 15(1): 23-38.
. A MATHEMATICAL TREATMENT ON CROSS ROLLER DESIGN[J]. Acta Metall Sin, 1979, 15(1): 23-38.

全文: PDF(973 KB)  
摘要: 用数学方法把斜轧辊形加以分析和综合,找出正确设计轧辊曲面的数学公式对于发展轧钢新工艺是有益的。文中应用二元函数求条件极值的方法和共轭曲面原理的分析方法研究了四种基本曲面的形成原理、计算公式及作图方法,指出任一种斜轧辊形曲面均可根据“线接触”的设计原则,用这四种基本曲面适当组合、衔接装配而成。管(棒)材矫正机辊形可看作斜轧辊形的一种特例,运用本文的数学方法设计的矫正辊在生产实践的使用中获得了满意的效果。
Abstract:With a view to developing new techniques on steel rolling it would be help-ful to analyze and sythesize the cross roller shape by mathematical treatment.The shaping principle of passes and related computing or drawing methods arestudied by solving the conditional limit value of binary function and the principleof conjugate surface. It is found that different varieties of cross rollers could beobtained by the combinations of the four kinds of typical surfaces proposed onthe basis of design principle of "linear contact". The application of the afore-mentioned mathematical treatment to pipe or rod straightening practice is shownto be satisfactory.
收稿日期: 1979-01-18     
[1] 陈惠波,应用数学学报,(1976) ,第2期,p.17.
[2] 陈惠波,待发表的工作(1976年).
[3] Lilienthal, P. F. et al., U. S. Pat., № 3 780 558 (1984) .'
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