Dynamics of Tubular Cantilevers Conveying Fluid
Dynamics of Tubular Cantilevers Conveying Fluid
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DOI：
10.1243/jmes_jour_1970_012_017_02
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发表时间：
1970-04
期刊：
影响因子：
--
通讯作者：
M. Païdoussis
中科院分区：
文献类型：
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作者：
M. Païdoussis
在第1部分中，提出了一个一般理论来解释垂直、均匀、管状悬臂输送流体的小的、自由的、横向的运动，自由的一端在夹紧的一端下面（“悬挂”悬臂）或在它上面（“站立”悬臂）。重力不被认为是可以忽略的。结果表明，当流体速度超过一定值时，悬臂梁在任何情况下都发生振荡失稳。在悬挑的情况下，不发生屈曲失稳。另一方面，站立式悬臂可能会在自身重量下弯曲；结果表明，在某些情况下，流动（在一定的流速范围内）可以使一个在没有流动时会弯曲的系统变得稳定。进行了广泛的复频率计算，以阐明系统随流量增加的动力学行为。稳定性条件也进行了广泛的计算，并绘制了稳定性图。结果表明，耗散力m…
In Part 1 a general theory is presented to account for the small, free, lateral motions of a vertical, uniform, tubular cantilever conveying fluid, with the free end being either below the clamped one (‘hanging’ cantilever) or above it (‘standing’ cantilever). Gravity forces are not considered to be negligible.It is shown that, when the velocity of the fluid exceeds a certain value, the cantilever in all cases becomes subject to oscillatory instability. In the case of hanging cantilevers buckling instability does not occur. Standing cantilevers, on the other hand, may buckle under their own weight; it is shown that in some cases flow (within a certain range of flow velocities) may render stable a system which would buckle in the absence of flow.Extensive complex frequency calculations were conducted to illuminate the dynamical behaviour of the system with increasing flow. The conditions of stability have also been extensively calculated and stability maps constructed. It is shown that dissipative forces m...