Fluid elastic vibration of tube array in cross flow
Fluid elastic vibration of tube array in cross flow
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DOI：
10.1016/s0022-460x(81)80005-3
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发表时间：
1981-07
影响因子：
4.7
通讯作者：
H. Tanaka;S. Takahara
中科院分区：
文献类型：
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作者：
H. Tanaka;S. Takahara
众所周知，柱束在横流中会发生振动。Roberts、Connors、Blevinset等人对振动进行了研究，并且已经确定该振动是流体弹性振动。然而，他们基于准静态流体力的理论并不总是适用于所有的振动现象。在本文所用的理论中，考虑了非定常流体动力，这是由振动的圆柱体引起的。由于非定常流体动力的理论预测是困难的，进行模型试验来测量流体力。推导了圆柱体的运动方程，并利用测得的非定常流体动力计算了圆柱体的临界速度。临界速度测试也进行了与圆柱体支撑的弹性梁。计算的临界流速与试验结果吻合较好。研究了流体密度对临界速度的影响，发现在低密度流体（如空气）中，临界速度与质量阻尼参数的二分之一次方成正比。然而，高密度流体中的临界速度受质量阻尼参数的影响较小。同时考虑了固有频率失谐对临界速度的影响。
It is well-known that a cylinder bundle vibrates in a cross flow. Studies of the vibration have been made by Roberts, Connors, Blevinset al., and it has been established that the vibration is a fluid elastic vibration. However, their theory, which is based on quasi-static fluid forces, does not always hold good for all vibration phenomena. In the theory used in this paper unsteady fluid dynamic forces are considered, which are induced by the vibrating cylinders. Since theoretical prediction of unsteady fluid dynamic forces is difficult, model tests were conducted to measure the fluid forces. The equations of motion of the cylinders were deduced and critical velocities were calculated by using the measured unsteady fluid dynamic forces. Critical velocity tests were also conducted with cylinders supported by elastic spars. The calculated critical velocities coincided well with the test results. Effects of fluid density on the critical velocity were studied and it was found that the critical velocity in a low density fluid like air is proportional to the one half power of the mass damping parameter, as predicted by the previous theory. However, the critical velocity in a high density fluid is less influenced by the mass damping parameter. The effects of detuning of the natural frequency on the critical velocity were also considered.