Influence of varying restoring moment curve on parametric roll motion of ships in regular longitudinal waves

被引：0
|
作者：
Emre Peşman
Metin Taylan
机构：
[1] Istanbul Technical University,Faculty of Naval Architecture and Ocean Engineering
来源：
Journal of Marine Science and Technology | 2012年 / 17卷
关键词：
Parametric roll motion; Longitudinal waves; Pitchfork bifurcations;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：511 / 522
页数：11
相关论文
共 50 条
  • [21] Prediction of Parametric Rolling of Ships in Single Frequency Regular and Group Waves
    Liu, Shukui
    Papanikolaou, Apostolos
    12TH INTERNATIONAL CONFERENCE ON THE STABILITY OF SHIPS AND OCEAN VEHICLES (STAB2015), 2015, : 1029 - 1039
  • [22] Numerical Simulation of Ship Parametric Roll Motion in Regular Waves Using Consistent Strip Theory in Time Domain
    Ma, Shan
    Wang, Rui
    Duan, Wenyang
    Zhang, Jie
    12TH INTERNATIONAL CONFERENCE ON THE STABILITY OF SHIPS AND OCEAN VEHICLES (STAB2015), 2015, : 1145 - 1156
  • [23] Comparative study of numerical simulation methods on the prediction of parametric roll of ships in waves
    Spanos, D. A.
    Papanikolaou, A. D.
    MARINE TECHNOLOGY AND ENGINEERING, VOL 1, 2011, : 653 - 660
  • [24] Averaging methods for estimating parametric roll in longitudinal and oblique waves
    Sakai, Masahiro
    Umeda, Naoya
    Yano, Takehiro
    Maki, Atsuo
    Yamashita, Naho
    Matsuda, Akihiko
    Terada, Daisuke
    JOURNAL OF MARINE SCIENCE AND TECHNOLOGY, 2018, 23 (03) : 413 - 424
  • [25] Averaging methods for estimating parametric roll in longitudinal and oblique waves
    Masahiro Sakai
    Naoya Umeda
    Takehiro Yano
    Atsuo Maki
    Naho Yamashita
    Akihiko Matsuda
    Daisuke Terada
    Journal of Marine Science and Technology, 2018, 23 : 413 - 424
  • [26] Numerical Investigation of Motion Response of Two Model Ships in Regular Waves
    Cha, Ruoshi
    Wan, Decheng
    8TH INTERNATIONAL CONFERENCE ON ASIAN AND PACIFIC COASTS (APAC 2015), 2015, 116 : 20 - 31
  • [27] Nonlinear dynamic behavior of heave-roll coupling of ships in longitudinal waves
    Yu, Y
    Jin, XD
    Hu, YR
    INTEGRATING DYNAMICS, CONDITION MONITORING AND CONTROL FOR THE 21ST CENTURY - DYMAC 99, 1999, : 85 - 90
  • [28] Effect of calculation methods of roll moment of inertia on sensitivity prediction of parametric rolling for container ships
    Zhou, Y., 1600, Editorial office of Ship Building of China, China (54):
  • [29] Prediction of parametric rolling of ships in single frequency regular and triple frequency group waves
    Liu, Shukui
    Papanikolaou, Apostolos
    OCEAN ENGINEERING, 2016, 120 : 274 - 280
  • [30] A NON-LINEAR NUMERICAL METHOD FOR THE SIMULATION OF PARAMETRIC ROLL RESONANCE IN REGULAR WAVES
    Ahmed, T. M.
    Ballard, E. J.
    Hudson, D. A.
    Temarel, P.
    PROCEEDINGS OF THE 27TH INTERNATIONAL CONFERENCE ON OFFSHORE MECHANICS AND ARCHTIC ENGINEERING - 2008, VOL 4, 2008, : 245 - 254
12345