频带禁区:远离共振的管道设计策略

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中文摘要：本文介绍了一种通过调整卡箍使得管道避免发生共振的设计策略。当管道的固有频率在机械设备运作时产生的振动频率范围内，会引发共振现象，给机械设备的正常操作带来严重的灾难。因此，把机械设备操作产生的振动频率范围定义为频带禁区。通常，工程中的管道被简化为多跨输流管道:通过将卡箍简化为线性和扭转刚度，建立了多跨输流管道的整体管道模型。通过采用Galerkin截断方法并应用广义特征值方法，获得了多跨输流管道的固有频率。通过对比不同长度的管道固有频率和频带禁区，定义了管长的安全范围和共振范围分别为频带禁区的外和内，并且通过分析卡箍的影响推导得出了绝对安全长度和绝对共振长度。此外，还确定了卡箍刚度和位置对安全范围的影响。结果表明，通过调整卡箍的线性刚度、扭转刚度和位置，管道的安全范围会发生显著地变化。根据这些结果，提出了一种管道设计策略，从而避免了管道的共振发生，并减少了使用卡箍的数量。最后，以飞机上的一段管道为例进行了设计，结果表明:通过调整卡箍，管道的固有频率成功地远离了频带禁区，因而在飞机的运行过程中不会发生共振。总而言之，通过调整卡箍的刚度或位置，可以获得避免多跨输流管道发生共振的设计策略。

外文标题：Frequency band preservation:pipe design strategy away from resonance

外文摘要：In this paper,a design strategy to keep a pipe away from resonance by adjusting retaining clips is presented.The pipe natural frequency is within the band of vibration frequencies generated by mechanical operation,which can cause the resonance phenomenon.The resonance of pipes could bring serious disaster to the mechanical operation.Therefore,the band of vibration frequencies generated by the mechanical operation is defined as the preserved frequency band(PFB).The pipe in engineering has been simplified to a multispan pipe conveying fluid.An integral pipe model of a multispan pipe conveying fluid is established by simplifying the retaining clips.The natural frequencies of a pipe with clips are obtained.The resonance range and safety range of pipe length are defined as the natural frequencies inside and outside the PFB,respectively.The absolute safety length and the absolute resonance length with respect to clip number are derived.Moreover,the influence of the clip stiffness and location on the safety range is determined.The results show that the safety range is significantly changed by adjusting the vertical stiffness,torsional stiffness,and location of the clips.Based on the results,a pipe design strategy is proposed to stay away from resonance and make for a smaller number of clips.Subsequently,a design for an aircraft pipe is carried out as an example.As a result of the design,the natural frequencies of the aircraft pipe are kept away from the PFB.In summary,a design strategy is obtained to avoid resonance for pipes by adjusting the clip stiffness and/or location.

外文关键词：

Pipe conveying fluidFrequency preserveNatural frequencyResonanceMultispanRetaining clip

作者：

邓天昌、丁虎

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作者单位：

Shanghai Key Laboratory of Mechanics in Energy Engineering,School of Mechanics and Engineering Science,Shanghai University,Shanghai 200072,China

Shanghai Institute of Aircraft Mechanics and Control,Shanghai 200092,China

关键词：

Pipe conveying fluid Frequency preserve Natural frequency Resonance Multispan Retaining clip

基金：

National Science Funds for Distinguished Young ScholarsShanghai Municipal Education Commission

项目编号：

120252042019-01-07-00-09-E00018

出版年：

2024

DOI：

10.1007/s10409-023-23201-x

力学学报(英文版)

CSTPCD

影响因子：0.363

ISSN：0567-7718

年,卷(期)：2024.40(3)