琼斯多项式在钢丝绳中的应用

Application of Jones Polynomial to wire rope

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.