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(9 citation statements)

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“…The fin flaps in roll as a sinusoidal oscillation with amplitude and frequency (in rad/s). The fin also oscillates in pitch with an amplitude and bias Previous experiments with instrumented flapping fins found that the roll axis consumes the majority of the power, with the pitch axis acting to feather the fin motion through the fluid [11]. The pitch bias vectors the force produced by the flapping motion.…”

confidence: 97%

“…The fin flaps in roll as a sinusoidal oscillation with amplitude and frequency (in rad/s). The fin also oscillates in pitch with an amplitude and bias Previous experiments with instrumented flapping fins found that the roll axis consumes the majority of the power, with the pitch axis acting to feather the fin motion through the fluid [11]. The pitch bias vectors the force produced by the flapping motion.…”

confidence: 97%

“…With zero mean flow, the Strouhal number, the angle of attack, and the coefficient of force based on flow speed are undefined, so they normalized the force using the square of the mean absolute foil velocity (where foil velocity depends on flapping amplitude and frequency), and found that force coefficients were determined fully by the pitch oscillation amplitude and bias to the flow. They also utilized this convention to normalize the fin forces at nonzero flow speeds, although this significantly complicated the simple model developed for the hovering case through the addition of a Strouhal number dependence on the force coefficients [11].…”

confidence: 99%

“…[11,12]). Where this research differs from the previous work is that the presented wing arrangement is designed with the long term aim of being used in both mediums, acting as a fixed wing (i.e.…”

confidence: 97%

“…The amplitude and the phase lag can be computed given the input frequency. By ignoring the transient behavior, we can reduce the preceding model in (13)(14)(15)(16) as…”

confidence: 99%

“…The term led by β 1 is justified by the experimental observation [12], [16], where the lift force of a single fin oscillating in the fluid is in phase with the angular velocity and its magnitude is proportional to the angular velocity squared.…”

confidence: 99%