TY - JOUR
T1 - Influence of varying restoring moment curve on parametric roll motion of ships in regular longitudinal waves
AU - Peşman, Emre
AU - Taylan, Metin
PY - 2012/12
Y1 - 2012/12
N2 - This paper examines the influence of stability characteristics on roll motion in the main parametric resonance region. For this purpose, parametrically exited roll motion was modeled as a single degree of freedom system considering heave and pitch effects by means of time varying restoring moment. In addition, restoring moment variations in waves with respect to time and instantaneous roll angle was modeled analytically using the restoring moment curves for the wave crest and wave trough conditions. Roll responses were evaluated in frequency domain by solving the model with an averaging method. Notable correlation between the stability of roll responses and moment curves were observed. The results revealed that, the ratio of metacentric height (GM)between the wave trough and wave crest affects the stability of the trivial solution. Furthermore, the shape of the restoring moment curves in wave trough and wave crest conditions affects the stability of the non-trivial solution or, in other words, the pitchfork bifurcations.
AB - This paper examines the influence of stability characteristics on roll motion in the main parametric resonance region. For this purpose, parametrically exited roll motion was modeled as a single degree of freedom system considering heave and pitch effects by means of time varying restoring moment. In addition, restoring moment variations in waves with respect to time and instantaneous roll angle was modeled analytically using the restoring moment curves for the wave crest and wave trough conditions. Roll responses were evaluated in frequency domain by solving the model with an averaging method. Notable correlation between the stability of roll responses and moment curves were observed. The results revealed that, the ratio of metacentric height (GM)between the wave trough and wave crest affects the stability of the trivial solution. Furthermore, the shape of the restoring moment curves in wave trough and wave crest conditions affects the stability of the non-trivial solution or, in other words, the pitchfork bifurcations.
KW - Longitudinal waves
KW - Parametric roll motion
KW - Pitchfork bifurcations
UR - http://www.scopus.com/inward/record.url?scp=84871659346&partnerID=8YFLogxK
U2 - 10.1007/s00773-012-0179-9
DO - 10.1007/s00773-012-0179-9
M3 - Article
AN - SCOPUS:84871659346
SN - 0948-4280
VL - 17
SP - 511
EP - 522
JO - Journal of Marine Science and Technology
JF - Journal of Marine Science and Technology
IS - 4
ER -