The Method to Calculate the Length of the Catenary for Anchored Vessel


Article Preview

The length of the anchor chain released directly influence the holding power of anchor and holding power of anchor decides the safety of the ship in the state of anchoring. In order to calculate the length of the catenary for anchored vessel in static hydraulic condition, Parabola and catenary mathematical model has been used in this paper to the data processing. These two kinds of thoughts are both based on the infinitesimal dividing model. The parabola method is using the Taylor series expansion to calculate the results of former 3~5 terms respectively, while catenary one uses the differential solving method. Through the example analysis to compare the accuracy of results obtained by these two methods, the conclusion can be obtained that parabola method is closely related to Taylor expansion terms. For a certain range of the anchored catenary length, the more Taylor series expansion, the more accurate results we can get; the gap of the results calculated by these two methods can be neglected. The catenary method is more accurate than that of parabolic one when the length of the catenary beyond this range.



Edited by:

Li Qiang




J. B. Li et al., "The Method to Calculate the Length of the Catenary for Anchored Vessel", Applied Mechanics and Materials, Vol. 624, pp. 356-360, 2014

Online since:

August 2014




* - Corresponding Author

[1] YANG Yu-xiang, ZHAO Zhi-bang. New computation method of suspension chain and stability analysis of single anchorage in port [J] . Port & Waterway Engineering, 2005 (1) : 38 - 42. (In Chinese).

[2] DI Jin, WU Jun. Calculation methods for cable curve of self anchored suspension bridge [J]. Journal of Traffic and Transportation Engineering, 2004, 4 (3) : 38 -43. (In Chinese).

[3] REN Hong-ye, WANG Qing-qiao, ZHU Zheng-wang. Calculation method for main cable bridge linearity of self anchored suspension bridge [J]. Urban Roads Bridges & Flood Control, 2010, (11): 29-32. (In Chinese).

[4] PAN Tian, LIU Jia-xin. Static Analysis of Wire Rope-chain Component Mooring Systems[J]. Ship & Ocean Engineering, 2011, 40 (2) : 52 -56. (In Chinese).

[5] CHEN Chang-song, CHEN Zheng-qing, YAN Dong-huang. Accurate iteration method to calculate the initial states of main cables of suspension bridges [J]. Engineering Mechanics, 2006, 23 (8) : 62-69. (In Chinese).