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Citation:
 Wei Li,Yougang Tang,Bin Wang,et al.Internal Resonances for the Heave Roll and Pitch Modes of a Spar Platform Considering Wave and Vortex Exciting Loads in Heave Main Resonance[J].Journal of Marine Science and Application,2018,(2):265-272.[doi:10.1007/s11804-018-0023-7]
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Internal Resonances for the Heave Roll and Pitch Modes of a Spar Platform Considering Wave and Vortex Exciting Loads in Heave Main Resonance

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Title:
Internal Resonances for the Heave Roll and Pitch Modes of a Spar Platform Considering Wave and Vortex Exciting Loads in Heave Main Resonance
Author(s):
Wei Li123 Yougang Tang12 Bin Wang12 Yan Li12
Affilations:
Author(s):
Wei Li123 Yougang Tang12 Bin Wang12 Yan Li12
1 School of Civil Engineering, Tianjin University, Tianjin 300072, China;
2 State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China;
3 CNOOC Research Institute, Beijing 100028, China
Keywords:
Sparplatform3-DOFnonlinearequationsMultiplescalesSub-harmonicresponseJumpphenomenonSensitivity analysis
分类号:
-
DOI:
10.1007/s11804-018-0023-7
Abstract:
The objective of this paper is to study the nonlinear coupling internal resonance of the heave, roll, and pitch response performance of a spar platform when their frequencies are in the ratio of 2:1:1 under wave and vortex exciting loads. The three degree-of-freedom (DOF) nonlinear coupled equations are established by considering a time-varying wet surface with a first-order wave force in heave and pitch and a vortex-induced force in roll. The first-order steady-state response is solved using the multi-scale method in heave main resonance. The multiple solutions of the motion equations are discussed using the analytic method and a numerical simulation. A sensitivity analysis is conducted to test the influence of the damping and internal detuning parameter. The regions of multiple solutions are found, and the jump phenomenon exists with the changes of the wave excitation. The regions of multiple solutions depend on the values of damping and detuning parameter.

References:

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Memo

Memo:
Received date:2017-09-15;Accepted date:2017-11-01。
Foundation item:This study was supported by the National Natural Science Foundation of China under Grant No. 51279130.
Corresponding author:Yougang Tang,tangyougang_td@163.com
Last Update: 2018-10-11