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力学与实践 ›› 2010, Vol. 32 ›› Issue (2): 32-34.doi: 10.6052/1000-0992-2007-221

• 应用研究 • 上一篇    下一篇

弹性悬链线方程参数变换法及其工程应用

范会渠   

  1. 中国科学院力学研究所工程科学部
  • 收稿日期:2007-05-17 修回日期:1900-01-01 出版日期:2010-04-08 发布日期:2010-04-08

THE PARAMETER TRANSFORMATION METHOD FOR ELASTIC CATENARY EQUATION AND ITS APPLICATION IN ENGINEERING

  • Received:2007-05-17 Revised:1900-01-01 Online:2010-04-08 Published:2010-04-08

摘要: 建立了弹性锚泊线模型,该模型根据微段垂向力学平衡关系,通过引进一个变换参 数$u$(${\rm sinh} u=\d y/\d x$),得到了弹性悬链线的参数方程. 结合工程实际, 将该模型用于海洋工程中的锚泊线,给出锚泊线拉力公式,与求解算法. 该算法简 单有效,易于编程实现.

关键词: 弹性悬链线, 参数方程, 锚泊线

Abstract: In this letter, the model of elastic catenary is established by introducing a transformation parameter $u$ (${\rm sinh} u=\d y/\d x$), and the corresponding parametric equation is obtained. The tension of the mooring line in ocean engineering can be calculated by the model. The algorithm is simple and effective, and easy to program in computer language.

Key words: elastic catenary, parameter equation, mooring line