Surprising behaviors in flapping locomotion with passive pitching

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Scaling laws for the thrust production of flexible pitching panels (2013, background): “The limited data on the role of structural resonance in water also suggest that optimal conditions occur very near a resonant frequency (Spagnolie et al. 2010; Moored et al. 2011; Alben et al. 2012; Leftwich et al. 2012).”
Effects of flexibility on the aerodynamic performance of flapping wings (2011, background): “This finding is consistent with previous findings that the optimal propulsive performance is found near the natural frequency of the wing, but slightly below (Masoud & Alexeev 2010; Spagnolie et al. 2010; Thiria & Godoy-Diana 2010; Zhang et al. 2010; Ramananarivo et al. 2011).”
Flow interactions lead to orderly formations of flapping wings in forward flight (2016, background): “The swimming motion is constrained to orbits around a water tank, and this rotational system reproduces key aspects of translational locomotion while allowing for long travel distances [23,25,26,28,29].”