过流条件下泵站管道振动响应混沌特性分析

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摘要为了验证泵站管道运行中存在混沌特性，明晰管道结构产生混沌特性的激励源，以某灌区泵站管道为研究对象，利用饱和关联维数、最大Lyapunov指数等指标对管道振动响应的混沌特性进行分析与验证，采用改进的变分模态分解（improved variatronal mode decomposition, IVMD）对管道振动响应进行多尺度混沌分析，得出使管道振动具有混沌特性的激励源。研究表明：泵站管道不同工况下各测点振动响应均具有混沌特性，其中管道轴向及岔管处测点振动的混沌特性较强。管道振动响应经IVMD分解后，代表输水湍流脉动激励的IMF1分量呈现较低维的混沌吸引子，而代表机组运行振动激励的其余分量无混沌特征，表明泵站管道振动时，输水湍流激励使其振动具有混沌特性，机组运行产生的振动激励掩盖了管道振动中的混沌特性，增加了管道振动的不确定性。研究结果为探索泵站管道的混沌特性及激励源特征提供理论基础。

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	张建伟1
	张翌娜2
	程梦然1
	王立彬1

关键词 ：泵站管道, 混沌特性, IVMD, 关联维数, Lyapunov指数

Abstract：Chaos is a unique mechanical phenomenon in the vibrations of strongly nonlinear structures. At present , the research on chaotic characteristics of pipeline systems mostly focuses on oil-gas pipelines and the mathematical models of pipelines with specific nonlinear constraints, while the chaotic characteristics of pumping station pipeline system are seldom analyzed. And most of former research achievements only analyzed the chaotic characteristics of the vibration system but did not further explore the vibration excitation which caused the chaos. In order to verify the chaotic characteristics and to clarify the chaotic excitation source in the pipeline structure, the chaotic characteristics of pipeline vibration response is analyzed and validated by using the saturation correlation dimension and the largest Lyapunov exponent, and the multi-time-scale chaotic analysis of pipeline vibration response is carried out by using the improved variational mode decomposition (IVMD). The chaotic characteristics of the vibration at the bifurcation are enhanced by the sudden expansion of pipe diameter at the bifurcation and the impact of water heads at different flow velocities. The results show that the vibration response of each measuring point of the pumping station pipeline under different working conditions have chaotic characteristics, and the chaotic characteristics of axial points and bifurcate pipe points are relatively strong. After IVMD adopted in pipeline vibration response, the intrinsic mode function (IMF) component representing the water pulsation excitation presents a lower-dimensional chaotic attractor, while the other components on behalf of the unit vibration excitation have no chaotic characteristics, which indicates that the water pulsation excitation makes the vibration of pump station pipelines chaotic, and the unit operation covers the chaotic characteristics of pipeline vibration and increases its uncertainty. The results provide a theoretical basis for exploring the chaotic characteristics and excitation source characteristics of pumping station pipelines.

Key words： pumping station pipeline chaotic characteristic improved variatronal mode decomposition(IVMD) correlation dimension Lyapunov exponent

收稿日期: 2019-10-31 出版日期: 2022-01-28

引用本文:

张建伟1，张翌娜2，程梦然1，王立彬1. 过流条件下泵站管道振动响应混沌特性分析[J]. 振动与冲击, 2022, 41(2): 290-296.
ZHANG Jianwei1, ZHANG Yina2, CHENG Mengran1, WANG Libin1. Chaotic characteristic analysis of the vibration responses of pumping station pipelines under overflow conditions. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(2): 290-296.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2022/V41/I2/290

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