悬链线方程的推导及其在锚链系统中的应用

天津科技 ›› 2025, Vol. 52 ›› Issue (05): 16-20+26.

悬链线方程的推导及其在锚链系统中的应用

张为苗^1,2

1.甘肃省计算中心甘肃兰州 730099;
2.甘肃省先进计算重点实验室甘肃兰州 730099

收稿日期:2025-04-09 发布日期:2026-01-05
基金资助:
甘肃省属科研院所创新能力专项“甘肃省科研公共算力基础条件平台升级建设”（24CXTA002）

Derivation of catenary equation and its application in anchor chain systems

ZHANG Weimiao^1,2

1. Gansu Computing Center,Lanzhou 730099,China;
2. Gansu Provincial Key Laboratory of Advanced Computing,Lanzhou 730099,China

Received:2025-04-09 Published:2026-01-05

摘要/Abstract

摘要： 针对现有水运规范和手册对锚链计算方法不足的问题,研究影响锚链形状方程的锚链结构、长度和重物球的质量,确保浮标吃水深度和游动区域及水声设备的倾斜角度尽可能小,在风速、水速最大及潮汐导致的海水深度变化时,传输节点能够正常工作。基于对各锚链微元的受力分析,建立受力平衡方程,利用平面几何关系和双曲余弦函数,得到不同工况下锚链形状的悬链线方程,应用悬链线方程计算出实际的锚链长度和浮标位置。

关键词: 锚链系统, 海上定位, 悬链线方程, 双曲余弦

Abstract: In response to the insufficient calculation methods for anchor chain design in existing water transport regulations and manuals,this study investigates the anchor chain structure,length,and weight of heavy balls that affect the shape equation of anchor chains,in order to minimize the draft depth and swimming area of the buoy,as well as the tilt angle of the underwater acoustic equipment. The system can operate normally when the wind and water velocities are at their maximum and when the depth of seawater changes due to tidal phenomena. By conducting force analysis on each anchor chain element,a force balance equation is established. Based on the plane geometry relationship and hyperbolic cosine function,the catenary equation of the anchor chain shape under different conditions is obtained. The actual anchor chain length and buoy position are calculated using the catenary equation.

Key words: chain system, offshore location, catenary equation, hyperbolic cosine

中图分类号:

U653.2

张为苗. 悬链线方程的推导及其在锚链系统中的应用[J]. 天津科技, 2025, 52(05): 16-20+26.

ZHANG Weimiao. Derivation of catenary equation and its application in anchor chain systems[J]. TIANJIN SCIENCE & TECHNOLOGY, 2025, 52(05): 16-20+26.

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