参数激励下深海立管多模态耦合振动特性分析

张杰;唐友刚;黄磊;李伟

振动与冲击 ›› 2013, Vol. 32 ›› Issue (19) : 51-56.

PDF(1993 KB)
PDF(1993 KB)
振动与冲击 ›› 2013, Vol. 32 ›› Issue (19) : 51-56.
论文

参数激励下深海立管多模态耦合振动特性分析

  • 张杰,唐友刚,黄磊,李伟
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Multi-mode coupling vibration analysis of deep-water risers under parametric excitations

  • ZHANG Jie TANG You-gang HUANG Lei LI Wei
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摘要

由于浮体升沉运动影响,引起立管在水平方向上发生参数激励振动。参激振动可以引起平衡位置的不稳定性,如果系统参数组合落在不稳定区域,将导致立管振动破坏。针对简谐参数激励,建立立管横向振动方程,考虑立管内部张力沿轴线变化,立管固有频率和振型发生变化,参激振动出现模态耦合效应。采用Floquet理论分析了立管无阻尼和有阻尼时的参激稳定性,计算了临界参数激励下的动力响应。与单模态参激振动对比表明,同等阻尼下,模态耦合参激振动不稳定区域显著增大,更易发生参激共振。多模态耦合参激振动发生时,小激励也能激起大响应,特别是弯曲应力将显著增大。

Abstract

The heave of the floating platform induces a fluctuation in time of the axial tension of the riser. A possible and undesirable phenomenon is the excitation of a transverse riser vibration caused by this fluctuation. Parametric vibration might destabilize the straight equilibrium of the riser and cause it to vibrate at a dangerously high level. Tension in the riser is typically assumed to be constant over the length, but tension actually varies linearly from the top to the bottom due to the effect of gravity which leads to coupling between the modes. Firstly, the governing motion equation of deep-water risers under harmonic parametric excitations was formulated. Then, considering the modes coupling, stability behavior of the riser with and without damping was investigated by applying the Floquet theory, and dynamic response under critical parameters was obtained. The results showed that instability zone for coupled system was significantly increased, and a small excitation could produce large responses, especially the bending stress would increase significantly.


关键词

(小五黑体)深海立管 / 参数激励 / 模态耦合 / 动力响应

Key words

deep-water risers / parametric excitations / multi-mode coupling / vibration response

引用本文

导出引用
张杰;唐友刚;黄磊;李伟. 参数激励下深海立管多模态耦合振动特性分析[J]. 振动与冲击, 2013, 32(19): 51-56
ZHANG Jie TANG You-gang HUANG Lei LI Wei. Multi-mode coupling vibration analysis of deep-water risers under parametric excitations[J]. Journal of Vibration and Shock, 2013, 32(19): 51-56

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