The Stability of a Cantilever Beam Subjected to One-Dimensional Leakage Flow
The Stability of a Cantilever Beam Subjected to One-Dimensional Leakage Flow
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一维漏流作用下悬臂梁的稳定性
DOI：
10.1299/kikaic.58.352
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
S. Kaneko
中科院分区：
文献类型：
--
作者：
H. Nagakura;S. Kaneko
研究了悬臂梁在一维泄漏流作用下的稳定性。这种梁的运动被表示为悬臂梁的前几个特征函数的和。临界流速和中性稳定性的固有频率是间隙宽度的函数。实验结果与分析结果一致。在几种有代表性的情况下，计算了系统四种最低模态的复频率作为流速的函数。当梁在上游端夹紧时，系统会因耦合模态颤振而失去稳定性。另一方面，当下游端夹紧梁时，随着流速的增加，系统先因散度失稳，后因颤振失稳。
The stability of a cantilever beam subjected to one-dimensional leakage flow is investigated. The motion of such a beam is expressed as the sum of the first few eigenfunctions of a cantilever beam. The critical flow velocities and the natural frequencies on the neutral stability are determined as a function of gap width. Experimental results are in agreement with analytical ones. The complex frequency of the four lowest modes of the system is calculated in several representative cased as a function of flow velocity. In the case that the beam is clamped at the upstream end, the system is found to lose stability by coupled-mode flutter. On the other hand, in the case that the beam is clamped at the downstream end, the system is found to lose stability by divergence first, and successively lose stability by flutter with increasing flow velocity.