深水半潜式平台Mathieu不稳定问题研究  

MATHIEU INSTABLITY STUDY OF A DEEPWATER SEMI-SUBMERSIBLE PLATFORM

作　　者：王俊荣[1,2] 谢彬 

机构地区：[1]中海石油研究中心,北京100027 [2]中国科学院力学研究所,北京100190

出　　处：《工程力学》2012年第10期347-353,共7页Engineering Mechanics

基　　金：国家高技术研究发展计划(863)课题项目(2006AA09A103)

摘　　要：半潜式平台的垂荡运动相对较大,当平台的纵摇固有有周期和垂荡固有周期处于一定的倍数关系时,平台的纵摇/横摇运动可能落入Mathieu不稳定区。该文对半潜式平台Mathieu方程进行了推导,获得了各参数的计算公式;根据Mathieu不稳定图谱或数值计算方法,可判断纵摇/横摇运动的稳定性。选取了一个生存状态下的半潜式平台为算例,分析了平台发生Mathieu不稳定问题的条件,并通过调整关键参数抑制不稳定问题的发生,从而获得了避免Mathieu不稳定问题的工程措施,为今后半潜式平台设计提供参考。The heave response of a semi-submersible platform is relatively significant than other floaters.While a certain ratio of heave natural period and pitch/roll natural period is reached,the pitch/roll motions of the platform will fall into a Mathieu instability zone.In the paper,a damped Mathieu equation for the semi-submersible platform was derived and the formulae of the control parameters were obtained to determine the stability of its pith/roll motion according to the parameter diagram of Mathieu instability or via numerical simulations.A semi-submersible platform was analyzed to investigate the Mathieu instability conditions.Furthermore,engineering measures on avoiding possible Mathieu instability are proposed and they may be some references for the design of semi-submersible platforms.

关 键 词：半潜式平台 垂荡 纵摇 Mathieu不稳定 固有周期 参数共振 

分 类 号：P751[交通运输工程—港口、海岸及近海工程] TU311.3[天文地球—海洋科学]