Out-of-Plane Vibration and Stability of Curved Tubes Conveying Fluid
Out-of-Plane Vibration and Stability of Curved Tubes Conveying Fluid
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DOI：
10.1115/1.3422988
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发表时间：
1973-06
期刊：
影响因子：
--
通讯作者：
Shoei‐sheng Chen
中科院分区：
文献类型：
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作者：
Shoei‐sheng Chen
本文提出了一个一般理论来解释均匀弯曲管道的离面运动。根据支承条件的不同，将系统分为保守和非保守两类。给出了固有频率的一般解和数值结果。讨论了流速和哥氏力对固有频率的影响。结果表明，当流速超过一定值时，管成为屈曲型不稳定性的保守情况下和颤振型不稳定性的非保守情况下。在亚临界流速范围内，保守系统作自由振荡，而非保守系统作阻尼振荡。
A general theory is presented to account for the out-of-plane motion of uniformly curved tubes containing flowing fluid. The systems are grouped as conservative and nonconservative according to the support conditions. A general solution for the natural frequency is obtained and numerical results are presented. The effects of the flow velocity and Coriolis force on the natural frequency are discussed. It is shown that when the flow velocity exceeds a certain value, the tube becomes subject to the buckling-type instability for conservative cases and the fluttering-type instability for nonconservative cases. In the subcritical range of flow velocity, the conservative system performs free oscillations, while the nonconservative system performs damped oscillations.