Dynamics of Timoshenko Beams Conveying Fluid
Dynamics of Timoshenko Beams Conveying Fluid
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DOI：
10.1243/jmes_jour_1976_018_034_02
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发表时间：
1976-08
期刊：
影响因子：
--
通讯作者：
M. Païdoussis;B. E. Laithier
中科院分区：
文献类型：
--
作者：
M. Païdoussis;B. E. Laithier
本文用梁理论描述输流管道的动力学。运动方程的推导和解决（a）通过有限差分技术，和（B）通过变分法。结果表明，后者是更有效的方法。系统的本征频率及其稳定性特性进行了比较，以前使用Euler-Bernoulli梁理论得到的结果，它表明，在某些情况下（如短管），两套结果的分歧。实验表明，目前的理论是更成功地预测所观察到的行为。此外，目前的理论表明，在某些情况下，悬臂管可能会失去稳定的屈曲，而以前的理论表明，系统总是失去稳定的颤振。
The dynamics of pipes conveying fluid is described by means of the Timoshenko beam theory. The equations of motion are derived and solved (a) by a finite-difference technique, and (b) by a variational method. It is shown that the latter is the more efficient method.The eigenfrequencies of the system and its stability characteristics are compared with results obtained previously using the Euler-Bernoulli beam theory, and it is shown that in certain cases (e.g. short pipes) the two sets of results diverge. Experiments indicate that the present theory is more successful in predicting the observed behaviour. Furthermore, the present theory shows that, in some cases, cantilevered pipes may lose stability by buckling, whereas previous theories indicate that the system always loses stability by flutter.