Here, we investigate the static and dynamic response of semi-rigid cantilevers at various initial inclination angles (15° $<\alpha <$ 90°) and flexural rigidity ($EI\sim O\left(10^{-8}\right)$ Pa-m${}^4$) to a uniform flow using a soap film tunnel. The vertical soap film tunnel produced uniform-flow Reynolds numbers $5\times 10^3<Re<4.5\times 10^4$ based on cantilever length. High speed video and image analysis were used to estimate quantities such as the average cantilever tip displacement, tip vibration amplitude and frequency $\omega$, and vortex shedding frequency, $f$. Vibration frequency was then compared to vortex shedding and the cantilever’s natural frequency ${\omega }_N$ to determine which was likely responsible for the dynamic response. A one-dimensional Euler–Bernoulli beam theory model was then used to estimate the relative magnitude of two superpositioned forcing terms with either $f$ or ${\omega }_N$ as the driving frequency. There was good agreement between measured and computed tip displacement.

在这里，我们研究了半刚性悬臂在各种初始倾斜角（15° $<\alpha <$ 90°）和抗弯刚度（$Ë\mathrm{一世}〜Ø（\mathrm{1个}{0}^{-8}）$ 帕姆${}^4$），以使用肥皂膜通道均匀流动。垂直的肥皂膜通道产生均匀流动的雷诺数$5\times \mathrm{1个}{0}^3<\mathrm{[R}Ë<4。5\times \mathrm{1个}{0}^4$根据悬臂长度。高速视频和图像分析用于估计数量，例如平均悬臂尖端位移，尖端振动幅度和频率$\omega$，涡旋脱落频率， $F$。然后将振动频率与涡流脱落和悬臂的固有频率进行比较${\omega }_{ñ}$确定哪个可能负责动态响应。然后使用一维Euler–Bernoulli梁理论模型来估计两个叠加强迫项的相对大小$F$ 要么 ${\omega }_{ñ}$作为驱动频率。在测得的尖端位移和计算出的尖端位移之间有很好的一致性。