A comparison between continuous and discrete modelling of cables with bending stiffness

被引:19
作者
Dreyer, TP [1 ]
Van Vuuren, JH [1 ]
机构
[1] Univ Stellenbosch, Dept Appl Math, ZA-7602 Matieland, South Africa
关键词
mathematical model; rod model; validation; cable shape; bending moment;
D O I
10.1016/S0307-904X(98)10097-5
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The static configuration in space of an inflexible two-dimensional cable anchored at its endpoints is obtained by the numerical solution of both continuous and discrete models. The results are compared and validated by experiment. It is shown that although the continuous model yields more accurate results than the discrete model, as expected, the effort and cost of numerically integrating the continuous model do not compare favourably with the relative ease and efficiency of solving the discrete model, which yields perhaps surprisingly accurate results. (C) 1999 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:527 / 541
页数:15
相关论文
共 15 条
[1]  
Berteaux H.O., 1976, BUOY ENG
[2]   PRE-ELIMINATION APPROACH TO THE MODELING OF SEGMENTED REPRESENTATIONS OF CABLE SHAPE WITH APPLICATION TO THE POSITIONING OF A TOWED SENSOR [J].
DREYER, TP ;
MURRAY, DM .
APPLIED MATHEMATICAL MODELLING, 1985, 9 (03) :163-169
[3]  
DREYER TP, 1981, TN02981 I MAR TECHN
[4]  
DREYER TP, 1985, TW857 U STELL DEP AP
[5]  
DREYER TP, 1992, SA TYDSKRIF NATUURWE, V11, P94
[6]  
LAMBE GC, 1958, APPL MATH ENG SCI, P366
[7]  
PAUL B, 1972, MAR TECHNOL SOC J, V6, P34
[8]   A 3-DIMENSIONAL DYNAMIC ANALYSIS OF A TOWED SYSTEM [J].
SANDERS, JV .
OCEAN ENGINEERING, 1982, 9 (05) :483-499
[9]   NUMERICAL DETERMINATION OF THE CONFIGURATIONS OF HEAVY ROTATING CHAINS [J].
SNYMAN, JA ;
VERMEULEN, PJ .
APPLIED MATHEMATICAL MODELLING, 1979, 3 (03) :232-235
[10]  
SNYMAN JA, 1982, WIND ENG, V6, P178