A procedure for the stability analysis of a slack mooring system is presented for periodic wave excitation by finding its approximate response using a two term harmonic balance method (HBM). The conditions for determining the local and global stability of the approximate solutions are established using Hill’s variational approach and Floquet’s theory. A number of instability phenomena are identified for the mooring system for certain frequencies of excitations which fall outside the range of frequencies obtained from the analytically derived stability boundaries. The instability phenomena include symmetry breaking bifurcation, subharmonics, 3T and 5T solutions. Even chaotic motion is exhibited under certain cases.
Stability Analysis of a Moored Vessel
Contributed by the OOAE Division for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received April 13, 2001; final revision October 17, 2003. Associate Editor: S. Calisal.
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Umar, A., Ahmad, S., and Datta, T. K. (May 18, 2004). "Stability Analysis of a Moored Vessel ." ASME. J. Offshore Mech. Arct. Eng. May 2004; 126(2): 164–174. https://doi.org/10.1115/1.1710873
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