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首页> 外文期刊>International journal of structural stability and dynamics >Parametric Resonance of Pipes with Soft and Hard Segments Conveying Pulsating Fluids
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Parametric Resonance of Pipes with Soft and Hard Segments Conveying Pulsating Fluids

机译：带有柔软和硬段的管道的参数共振输送脉动液

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摘要

In this paper, the parametric resonance of pipes with soft and hard segments induced by pulsating fluids is investigated. The lowest six natural frequencies and mode shapes of the soft-hard combination pipe simply supported at both ends are obtained by the modified Galerkin's method. The Floquet method is used to numerically determine the parametric resonance regions, including subharmonic resonance regions and combination resonance regions. The parametric resonance results are verified by comparison with published ones, which confirm the validity of the present model establishment and numerical calculation. Compared with a uniform pipe conveying fluid simply supported at both ends, the soft-hard pipe conveying fluid is found to reveal different dynamical behaviors. Decreasing the length of the soft pipe, while increasing the stiffness ratio of the hard pipe compared to the soft one, can effectively improve the stability of the pipe system. The parametric resonance results show that the mean flow velocity and pulsation amplitude of the fluid have a great influence on the width of the parametric resonance regions. It is advisable that the ratio (the soft pipe/the whole pipe) of the length may be designed to be 0.4-0.5 for a flexural rigidity ratio (the hard pipe/the soft pipe) of 2. As the stiffness ratio (the hard pipe/the soft pipe) increases beyond 26, the hard pipe may be regarded as a rigid pipe. The probability of parametric resonance occurrence will be smallest if the soft-hard combination pipe is supported in a clamped-pinned way. For certain application cases, the safety design length of the two pipes with different materials can be determined through numerical calculation.
机译：本文研究了通过脉动流体诱导的具有柔软和硬链段的管道的参数谐振。通过修改的Galerkin的方法获得了两端的软硬组合管的最低六个自然频率和模式形状。 FOROQUET方法用于在数值上确定参数谐振区域，包括子发声谐振区域和组合共振区域。通过与公布的那些比较验证参数谐振结果，该结果证实了本模型建立的有效性和数值计算。与两端支撑的均匀管道输送流体相比，发现软硬管输送流体揭示了不同的动力学行为。减小软管的长度，同时增加与软型硬管的刚度比，可以有效地提高管道系统的稳定性。参数谐振结果表明，流体的平均流速和脉动幅度对参数谐振区域的宽度有很大影响。建议，长度的比率（软管/整个管道）可以设计为0.4-0.5，用于弯曲刚度（硬管/软管）为2.作为刚度比（硬质管/软管）增加超过26，硬管可以被视为刚性管道。如果以夹紧固定的方式支撑软硬组合管，则参数谐振发生的概率将最小。对于某些应用情况，可以通过数值计算确定具有不同材料的两个管的安全设计长度。

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