The aerodynamic, elastic, and inertial components in Collar’s triangle of forces acting on a flexible wing with span width $s=1.75\mathrm{m}$ and chord $c=0.25\mathrm{m}$ are determined based on integrated optical measurements of the structural and aerodynamic response to steady and unsteady periodic inflow conditions at a chord-based Reynolds number of $2.3\times {10}^5$. The measurement device is a coaxial volumetric velocimeter mounted on a robotic arm, which is used to perform optical measurements of fiducial markers on the wing surface, and helium-filled soap bubbles, which are used as flow tracers. The optical measurements of the structural markers and the flow tracers are both processed with the Lagrangian particle tracking algorithm Shake-the-Box. Subsequently, physical models are used to determine the inertial and elastic forces of the aeroelastic interaction from the marker tracking results, and to determine the unsteady aerodynamic lift force from the flow velocity fields. The results of this integrated aeroelastic characterization approach are in physical agreement with each other according to the equilibrium of forces in Collar’s triangle and good agreement with external reference measurements.

作用在具有跨度宽度的柔性机翼上的领力三角形中的空气动力学、弹性和惯性分量 $秒=1.75\mathrm{米}$ 和弦 $丙=0.25\mathrm{米}$ 在基于弦的雷诺数下，基于对稳态和非稳态周期性流入条件的结构和空气动力学响应的综合光学测量来确定 $2.3\times {10}^5$. 测量装置是安装在机械臂上的同轴体积测速仪，用于对机翼表面的基准标记和充氦肥皂泡（用作流动示踪剂）进行光学测量。结构标记和流动示踪剂的光学测量均使用拉格朗日粒子跟踪算法 Shake-the-Box 进行处理。随后，物理模型用于根据标记跟踪结果确定气动弹性相互作用的惯性力和弹力，并根据流速场确定非定常气动升力。根据 Collar 三角形中的力平衡，这种集成的气动弹性表征方法的结果在物理上是一致的，并且与外部参考测量值一致。