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隔水套管波流联合作用下非线性动力响应
引用本文:唐友刚,谷家扬,左建立,闵建琴.隔水套管波流联合作用下非线性动力响应[J].应用数学和力学,2005,26(8):951-956.
作者姓名:唐友刚  谷家扬  左建立  闵建琴
作者单位:天津大学,建筑工程学院,船舶与海洋工程系,天津,300072
基金项目:国家自然科学基金资助项目(50279026),国家“九八五”工程资助项目
摘    要:考虑流及波流联合作用,研究了深水套管的涡激非线性振动.将套管简化为梁模型,计及Morison非线性流体动力和涡激荷载,建立套管的涡激振动方程.采用Korolov函数求解套管的固有频率和模态,提出了计算涡激非线性动力响应的Galerkin方法,计算了160m水深中170m长套管的固有频率和模态,研究了流引起的主共振和波流联合引起的组合共振.计算结果表明波流联合作用下套管的动力响应明显增大,结果也揭示了波流联合激励下套管复杂的动力响应特性.

关 键 词:深水套管  流体动力  波流联合  涡激振动  组合共振
文章编号:1000-0887(2005)08-0951-06
修稿时间:2003年9月22日

Nonlinear Dynamics Response of Casing Pipe Under Combined Wave-Current
TANG You-gang,GU Jia-yang,ZUO Jian-li,MIN Jian-qin.Nonlinear Dynamics Response of Casing Pipe Under Combined Wave-Current[J].Applied Mathematics and Mechanics,2005,26(8):951-956.
Authors:TANG You-gang  GU Jia-yang  ZUO Jian-li  MIN Jian-qin
Abstract:The vortex_induced nonlinear vibration of casing pipes in the deep water was studied considering the loads of current and combined wave_current. The vortex_induced vibration equation of a casing pipe was set up considering the beam mode and Morison's nonlinear fluid loads as well as the vortex_excited loads. The approach of calculating vortex_excited nonlinear vibration by Galerkin's method was proposed. The natural vibration frequencies and modes were obtained, and the response including primary resonance induced by current and the composite resonance under combined wave_current for the 170 m long casing pipe in the 160 m depth of water were investigated. The results show that the dynamics response of casing pipe obviously increases, and the complicated response behaviors of casing pipe are described under combined wave_current.
Keywords:casing pipes in the deep water  fluid dynamics  combined wave-current  vortex-excited vibration  composite resonance
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