系泊缆松弛-张紧状态应力波的特性分析

从应力波的自由传播特性出发,分析在系泊缆绳松弛-张紧问题研究中需要考虑的因素。引入缆绳单位长度的重力与缆绳水平张力的比值λ,利用泰勒级数展开,将平衡张力和曲率表示为λ和缆绳弧长坐标s的函数。研究了缆绳出现松弛-张紧状态时应力波的自由传播特性,分析缆绳内水平张力、缆绳弧长坐标等参数对缆绳内应力波传播特性的影响。结果表明:缆绳处于松弛-张紧状态时,缆绳内应力波传播特性与张力、曲率和缆绳自重等因素密切相关。该文的工作为缆绳松弛-张紧条件下冲击载荷问题的研究奠定了基础。

CHARACTERISTIC ANALYSIS OF STRESS WAVE IN MOORING LINE IN TAUT-SLACK CONDITION

The effect factors necessary to be considered in the study of mooring lines transferring from taut to slack are analyzed from the view of stress waves. The radio λ of mooring line gravity per unit to the horizontal tension is introduced. Based on Taylor series expansion,the horizontal tension and curvature are the function of s and λ. Considering the effects of horizontal tension,the free propagation characters are analyzed,including the characteristic frequency,group velocity and dispersion relation,the effects of tension in cable,wave number,and coordinates of the cable. The research results indicate that,when the cable alters from slack to taut,the shifty tension,radius of curvature and the dead weight of the cable cannot be ignored. The work in this paper lays a foundation for future taut-slack problems.