基于非线性能量汇的Timoshenko输流管道振动控制
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国家杰出青年科学基金项目(12025204)


Vibration Control of a Timoshenko Fluid-Conveying Pipe Based on Nonlinear Energy Sink
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    摘要:

    输流管道具有重要的工程价值.工程管道往往会受到各种因素影响而产生振动.振动幅值过大会对管道本身以及支撑带来损害,即使是小幅振动也会带来累积性的损伤.因此如何减弱输流管道的振动成了一个亟须研究的课题.非线性能量汇(nonlinear energy sink, NES)胞元作为一种新型的减振概念被应用于本文中管道的减振.本文采用广义哈密顿原理,基于Timoshenko梁模型建立输流管道与NES胞元减振系统的耦合振动控制方程,使用复模态法求解系统的固有频率.系统的响应由谐波平衡法和数值方法求解,研究了不同NES胞元数量以及不同安装方式对振动抑制效率的影响,研究发现外激励在特定频率附近时,单点集中式分布拥有更出色的减振性能,而多点集中式和均匀平铺式分布对于宽频激励有更好的减振效果.

    Abstract:

    Fluid-conveying pipes hold significant engineering value. In practical applications, pipes are often subjected to vibrations due to various factors. Excessive vibration amplitudes can cause damage to the pipe itself and its supporting structures, while even minor vibrations may lead to cumulative damage over time. Therefore, mitigating pipe vibrations has become a critical issue that needs to be addressed.In this study, a fluid-conveying pipe model is established based on the Timoshenko beam theory. The nonlinear energy sink (NES) cell, as a novel vibration suppression concept, is applied to reduce pipe vibrations. The governing equations of the system are derived using the generalized Hamilton’s principle, and the system’s natural frequencies are obtained through the complex modal method. The system’s response is solved using the harmonic balance method and numerical simulations. The influence of different NES cell quantities and installation configurations on vibration suppression efficiency is investigated. The study found that when external excitation is near specific frequencies, a single-point concentrated distribution exhibits superior vibration reduction performance, whereas multi-point concentrated and uniform distributions provide better vibration reduction efficiency for broadband excitation.

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邵宇飞,顾颖宾,丁虎.基于非线性能量汇的Timoshenko输流管道振动控制[J].动力学与控制学报,2025,23(10):10~17; Shao Yufei, Gu Yingbin, Ding Hu. Vibration Control of a Timoshenko Fluid-Conveying Pipe Based on Nonlinear Energy Sink[J]. Journal of Dynamics and Control,2025,23(10):10-17.

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  • 收稿日期:2025-05-18
  • 最后修改日期:2025-06-05
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  • 在线发布日期: 2025-10-29
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