多边界条件下海洋温差能冷水管动力响应分析

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摘要深层冷海水提升过程中，超大流量会诱发冷水管振动和失稳。为了揭示冷海水提升过程的管道动力响应机理，基于Euler-Bernoulli梁模型，全面考虑管道所处海洋工况，建立动力响应计算分析模型，结合广义积分变换法，求解出多边界条件下振动方程的半解析解，给出了管道动力响应的时效解答。结果表明：结构阻尼仅减少在无外流下的管道振幅。内流流速对管道振幅的影响，在固支-自由边界条件下最大，在简支-加配重块边界条件下最小。但在外流作用下，内流流速仅对固支-加配重块边界条件的管道振幅影响显著。管道在不同边界条件下的固有频率和临界失稳流速不同。增大内流，管道在固支-固支和简支-简支的边界条件下的固有频率会逐渐减小直至为零。

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	张理1
	谭健2
	张玉龙3
	徐进2
	黄世苗1
	段青峰2
	段梦兰2

关键词 ：海洋温差能, 冷水管, 广义积分变换法, 固有频率, 多边界条件, 临界流速

Abstract：Large flow induces vibration and instability in pipe during conveying. To reveal the dynamic response of pipe conveying seawater, based on the Euler-Bernoulli beam model, the calculation and analysis model is established under marine condition. The semi-analytical solution of the vibration equation is solved by using Generalized Internal Transform Technique, and the time-dependent solution of structural dynamic response is given. The results show that structural damping only reduces the pipe amplitude in default of outflow. The effect of internal flow velocity on pipe amplitude is greatest under fixed-free boundary condition and least under pinned-with clump weight boundary condition. However, under the action of external flow, the internal flow velocity only influences the pipe amplitude under fixed-with clump weight boundary condition. The pipe has different natural frequency and critical velocity under different boundary conditions. With internal flow velocity increasing, the natural frequency of the pipe decreases gradually while approaching to zero.

Key words： cold water pipe ocean thermal energy generalized integral transformation technique critical velocity natural frequency different boundary condition

收稿日期: 2022-05-07 出版日期: 2023-06-28

引用本文:

张理1，谭健2，张玉龙3，徐进2，黄世苗1，段青峰2，段梦兰2. 多边界条件下海洋温差能冷水管动力响应分析[J]. 振动与冲击, 2023, 42(12): 59-68.
ZHANG Li1，TAN Jian2，ZHANG Yulong3，XU Jin2，HUANG Shimiao1，DUAN Qingfeng2，DUAN Menglan2. Dynamics response analysis of a cold-water pipe for ocean thermal energy conversion under different boundary conditions. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(12): 59-68.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I12/59

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