琼斯多项式在钢丝绳中的应用  

Application of Jones Polynomial to wire rope

作　　者：赵海空 沈志军 高利飞 曹高鹏 赵天义 李晓飞 Zhao Haikong;Shen Zhijun;Gao Lifei;Cao Gaopeng;Zhao Tianyi;Li Xiaofei(Xi’an Shiyou University,Xi’an 710065,China;Xianyang BOMCO Steel Tube&Wire Rope Co.,Ltd.,Xianyang 712000,China)

机构地区：[1]西安石油大学机械工程学院,陕西西安710065 [2]咸阳宝石钢管钢绳有限公司研发中心,陕西咸阳712000 [3]咸阳宝石钢管钢绳有限公司技术部,陕西咸阳712000

出　　处：《金属制品》2021年第3期1-7,共7页Metal Products

摘　　要：由于DNA与钢丝绳结构高度相似,采用一些DNA的理论研究钢丝绳问题很有必要。纽结理论可确定链环是否等价。怀特-富勒公式研究的是链环发生连续变形时的拓扑不变量。根据纽结理论与琼斯多项式,钢丝绳中的同向捻与交互捻是两种完全不同的几何体,两种同向捻之间存在手征,两种交互捻之间也存在手征。给出了同向捻与交互捻的定量分析。The high similarity of DNA spatial construction to wire rope show that it is necessary to study wire rope problem with some DNA theories.Knot theory is used to determine whether the links are equivalent.White-Fuller formula studies on topological invariant of links when continuous deformation is happening.According to the knot theory and Jones Polynomial,ordinary lay and lang lay of wire rope are different geometric solids.Two different lang lay construction have chirality,and two different ordinary lay construction also have chirality.The quantitative analysis of ordinary lay and lang lay are given.

关 键 词：DNA 钢丝绳 纽结理论 同向捻 琼斯多项式 手征 

分 类 号：TG356.45[金属学及工艺—金属压力加工]