Flow-induced instabilities of springs-mounted plates in viscous flows: A global stability approach
Flow-induced instabilities of springs-mounted plates in viscous flows: A global stability approach
复制标题
粘性流中弹簧安装板的流动引起的不稳定性：全局稳定性方法
DOI：
--
复制
发表时间：
2021
期刊：
影响因子：
--
通讯作者：
O. Marquet
中科院分区：
文献类型：
--
作者：
J. Moulin;O. Marquet
本文重新讨论了一个典型的气动弹性截面的线性稳定性，它是由安装在弯曲和扭转弹簧上的矩形板组成的，适用于低雷诺数的不可压缩流动。通过对流固耦合方程组进行全局稳定性分析，我们发现了四种与不同物理不稳定性相关的不稳定模态，并采用分离流模型进行了经典研究：耦合模态颤振、单模态颤振、高折合速度U * 下的静态发散和低U * 下的涡激振动。这些模式的中性曲线的参数空间中的固体与流体的质量比和折合速度。有趣的是，颤振模式被认为是重新稳定的高折合速度，从而导致有限程度的颤振区域，由低- U * 和高- U * 边界界定。在一个特别低的质量比，两个边界合并，使没有颤振不稳定性观察到较低的质量比。雷诺数的影响，然后调查，表明高U * 再稳定强烈依赖于粘度。全局稳定性的结果进行比较，静态校准Theodorsen模型：如果这两种方法收敛在高质量比的限制，他们显着不同，在较低的质量比。此外，Theodorsen模型不能预测颤振模态的高U * 再稳定.
The linear stability of a typical aeroelastic section, consisting in a rectangular plate mounted on flexion and torsion springs, is revisited here for low-Reynolds-number incompressible flows. By performing global stability analyses of the coupled fluid-solid equations, we find four types of unstable modes related to different physical instabilities and classically investigated with separate flow models: coupled-mode flutter, single-mode flutter, and static divergence at high reduced velocity U * and vortex-induced vibrations at low U *. Neutral curves for these modes are presented in the parameter space composed of the solid-to-fluid mass ratio and the reduced velocity. Interestingly, the flutter mode is seen to restabilize for high reduced velocities thus leading to a finite extent flutter region, delimited by low- U * and high- U * boundaries. At a particular low mass ratio, both boundaries merge such that no flutter instability is observed for lower mass ratios. The effect of the Reynolds number is then investigated, indicating that the high- U * restabilization strongly depends on viscosity. The global stability results are compared to a statically calibrated Theodorsen model: if both approaches converge in the high mass ratio limit, they significantly differ at lower mass ratios. In addition, the Theodorsen model fails to predict the high- U * restabilization of the flutter mode.
影响因子：
4.6
作者：
Rips, Aaron;Mittal, Rajat
通讯作者：
Mittal, Rajat