Flutter of cantilevered interconnected beams with variable hinge positions

In this paper, flutter of slender, high-compliance cantilever beams in a fluid flow is discussed. Parametric factors that influence the critical flutter speed of these beams are examined theoretically, and experimentally validated. A relationship between the lowest bending-mode frequency of the beam and its critical flutter speed is established. A single ideal, revolute hinge with zero torsional stiffness is introduced at differing positions along the beam, so as to alter the effective natural frequency of the beam, and the effect of the hinge presence on the first few bending modes is analytically determined. A computational modal analysis is conducted in ANSYS® MechanicalTM and the results match well with analytical results, despite the difference in numerical schemes utilised between the two models. Experiments are then carried out in a smooth-flow wind tunnel to observe the critical flutter speed of these hinged beams. It is found that the critical flutter speed and oscillatory mode shape changes based on the hinge position. The experimental results are compared with the analytical and computational outcomes. Application of these connected bodies in the field of energy harvesting from fluid flow is discussed and the working principle of these harvesters is explained.