三次样条函数在ISO 10425中钢丝绳“非标”最小破断拉力的插值应用

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摘 要：在直径为60mm～264mm钢丝绳的最小破断拉力计算的基础上，介绍插值计算的基础知识并解释三次样条函数的力学背景。以标准6×19S-FC钢丝绳最小破断拉力为例，建立了钢丝绳最小破断拉力与直径的三次样条函数，并对插值结果进行解释；为非标钢丝绳的最小破断拉力的理论计算提供新思路。

关键词：ISO 10425；钢丝绳；“非标”最小破断拉力；插值；三次样条函数

中图分类号：TG356.4 文献标识码：B 文章编号：1003-0514（2025）01-0044-05

Application of cubic spline function in interpolation of minimum breaking force of wire ropes with "non-standard" sizes as ISO 10425

Shen Zhijun1，Zhang Xuan1 ，Sun Weike2，Leng Mingjian3，Yang mei1，Xu Ting4，Yang Xiuju5

（1. Xianyang BOMCO Steel Tube & Wire Rope Co.，Ltd.，Xianyang，Shannxi， 712000；2. CERI LONG PRODUCT CO.，LTD.，Beijing，100176 ；3. China Metallurgical Information and Standardization Institute，Beijing， 100730；

4. CNPC Tubular Goods Research Institute，Xi'an，Shannxi，710077；5. Baoji Oilfield Machinery Co.，Ltd. ，Baoji，Shannxi，721002）

Abstract：Based on the calculation of the minimum breaking force of wire ropes with diameters ranging from 60 mm to 264 mm，the paper introduces the basic knowledge of interpolation and explains the mechanical background of cubic spline functions. Taking the minimum breaking force of standard 6×19S-FC ropes as an example， a cubic spline function between the minimum breaking force and the diameter of the wire rope is established， and the interpolation results are interpreted; providing new approach for the theoretical calculation of the minimum breaking force of non-standard wire ropes.

Key words：ISO 10425；wire rope；"non-standard" minimum breaking force；interpolation；cubic spline function

1 问题背景

在钢丝绳的检测指标中，对钢丝绳整绳破断拉力的测定是极其重要的，目前已有较多讨论[1]。（剩余6915字）