参一强激励作用下的Spar平台非线性纵摇运动响应分析  

Analysis on Nonlinear Pitch Response of a Spar Platform under Parametric Excitation and Forced Excitation

作　　者：赵晶瑞[1,2] 唐友刚[2] 

机构地区：[1]中海油研究总院,北京100027 [2]天津大学,天津300072

出　　处：《中国海洋平台》2012年第3期26-31,47,共7页China offshore Platform

基　　金：国家"八六三"项目(2007AA09Z30);国家自然科学基金项目(NO.50879057);国家自然科学基金重点项目(NO.50639030)

摘　　要：考虑垂荡运动和波浪激励力矩的双重影响,建立Spar平台参一强联合激励下的纵摇运动方程。应用摄动法求得当垂荡频率与纵摇固有频率比接近2:1时纵摇方程的一阶近似解,并分析了方程零解与定常周期解的运动稳定性。以一座试验Spar平台为例,计算了该平台在长周期涌浪下纵摇运动的时域响应。The parametric and forcing excited differential equation for pitch motion of a Spar platform is established with considering the effects of heave motion and wave exciting moment. The first-order approximate solution of the Mathieu equation is solved by the pertur- bation method when the heave frequency is approximately double the pitch natural frequency. The stabilities of trivial solution and steady-state periodic solution are analyzed according to the nonlinear dynamic theory. As a example, the pitch response of a spar model is obtained under long periodic swell.

关 键 词：SPAR平台 参激纵摇运动 分岔现象 亚谐共振运动 

分 类 号：P751[交通运输工程—港口、海岸及近海工程]