摘要
钢丝绳中二次螺旋线的曲率、挠率等函数在工程上存在可通过结构参数关联因子予以计算的周期,但从数学角度分析,满足周期存在的必要条件是关联因子必须为有理数。对分析结论进行了计算机仿真验证。给出钢丝绳对称关联因子的概念、研究钢丝绳二次螺旋线周期问题可能涉及的学科及因此引出钢丝绳空间几何研究相关数学问题。
The curvature,torsion and other functions of the double helix in steel wire rope can be calculated by correlation factor of structural parameters in engineering.From the mathematical point of view,necessary condition to meet existence of period is that the correlation factor must be a rational number.The analysis conclusion is verified by computer simulation.The concept of symmetry correlation factor of steel wire rope is given,and subjects that may be involved in study of secondary helix period of steel wire rope are discussed.
作者
沈志军
秦万信
李大矛
孙冠
赵海空
Shen Zhijun;Qin Wanxin;Li Damao;Sun Guan;Zhao Haikong(Xianyang BOMCO Steel Tube&Wire Rope Co.,Ltd.,Xianyang 712000,China;Beijing Union University,Beijing 100101,China;Xi’an Shiyou University,Xi’an 710065,China)
出处
《金属制品》
2020年第4期11-19,共9页
Metal Products
关键词
钢丝绳
关联因子
二次螺旋钢丝
有理数
周期
抽象代数
封闭性
wire rope
correlation factor
double spiral steel wire
rational number
period
abstract algebra
closure
