Internal Resonances for the Heave Roll and Pitch Modes of a Spar Platform Considering Wave and Vortex Exciting Loads in Heave Main Resonance  

波激和涡激Spar平台在垂荡主共振时垂荡、横摇和纵摇内共振响应（英文）

作　　者：Wei Li Yougang Tang Bin Wang Yan Li 

机构地区：[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

出　　处：《Journal of Marine Science and Application》2018年第2期265-272,共8页船舶与海洋工程学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant No.51279130

摘　　要：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.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.

关 键 词：Spar platform 3-DOFnonlinearequations Multiplescales Sub-harmonicresponse Jumpphenomenon Sensitivity analysis 

分 类 号：TS190.5[轻工技术与工程—纺织化学与染整工程]