Extreme deformations of the cantilever Euler Elastica under transverse aerodynamic load

Using an analytical solution of the Euler’s Elastica, we stumbled upon peculiar shapes a cantilever beam subject to large value shear follower force at free end. Intrigued by whether such existed or not, set out realise experimental apparatus validate our predictions. Attaining system, in reality, is not all trivial task. Indeed, it has represented challenge for decades, due emergence unstable configurations. After various attempts, were finally able conceive and device capable generating transverse via air-thrust. We compared measurement forces deformation obtained experimentally with Elastica dimensionless form. Since experiments are quasi-static, aerodynamic effect induced air flow negligible; this confirmed agreement between results both theoretical numerical During experiments, observed high susceptibility perturbations around load 41.15. used finite element simulations explicit time integration scheme carry stability analysis. Our analysis appearance configuration 40.5. Therefore, carefully tuning apparatus, could reach values higher than load, 120. For levels forces, prescribes hook-like that show paper. These can find several applications, instance, design soft-actuators, realisation more efficient drilling pipes underwater, underground, well biomedical equipment, as catheters.