Heavier-than-air flight at any scale is energetically expensive. This is greatly exacerbated at small scales and has so far presented an insurmountable obstacle for untethered flight in insect-sized (mass less than 500 milligrams and wingspan less than 5 centimetres) robots. These vehicles1,2,3,4 thus need to fly tethered to an offboard power supply and signal generator owing to the challenges associated with integrating onboard electronics within a limited payload capacity. Here we address these challenges to demonstrate sustained untethered flight of an insect-sized flapping-wing microscale aerial vehicle. The 90-milligram vehicle uses four wings driven by two alumina-reinforced piezoelectric actuators to increase aerodynamic efficiency (by up to 29 per cent relative to similar two-wing vehicles5) and achieve a peak lift-to-weight ratio of 4.1 to 1, demonstrating greater thrust per muscle mass than typical biological counterparts6. The integrated system of the vehicle together with the electronics required for untethered flight (a photovoltaic array and a signal generator) weighs 259 milligrams, with an additional payload capacity allowing for additional onboard devices. Consuming only 110–120 milliwatts of power, the system matches the thrust efficiency of similarly sized insects such as bees7. This insect-scale aerial vehicle is the lightest thus far to achieve sustained untethered flight (as opposed to impulsive jumping8 or liftoff9).
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The data that support the findings of this study are available from the corresponding author upon reasonable request.
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We thank R. Peña Velasco for assistance in PCB fabrication. This work is supported by the National Science Foundation (award numbers 1514306 and 1724197), the Office of Naval Research (award number N000141712614), and the Wyss Institute for Biologically Inspired Engineering. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
Nature thanks Kenny Breuer, Kristofer Pister and Franck Ruffier for their contribution to the peer review of this work.
The authors declare no competing interests.
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Extended data figures and tables
a, The actuators developed in ref. 18. b, The alumina-reinforced actuators used in this work. The blue arrows indicate the bending direction of the actuators.
The vehicle’s altitude versus time when operated at 210 V, 165 Hz, and carrying a payload of 245 mg (for a total mass of 335 mg). The voltage is increased from zero to 210 V from t = −0.1 s to t = 0 s, and remains at 210 V for the remainder of the trial. The curvature of this trajectory shows that the lift is 370 mg for this operating condition. The lift is calculated from a least-squares fit to the circled data points, which occur while the vehicle’s deviation from vertical (labelled ‘angle’ in the plot) is small enough to cause errors <1%; correcting for the angle error gives the same lift value over the entire flight time.
a–c, Pitch torque (a), roll torque (b) and yaw torque (c) (all depicted with ‘top-down’ views of the wing strokes), in the X-Wing versus the previous two-wing design. The red and green squares in the X-Wing design indicate that each pair of wings is fixed at 90 degrees apart. Although the four-wing design brings the mean centre of pressure of each wing pair closer to the body for pitch and roll (indicated by the length of the dashed lines), it also produces greater forces for the same flapping motion, allowing for similar control authority.
a, Six-cell photovoltaic array. b, Plot of the power obtained from this solar array at varying distances from our light source (the measurement precision is approximately ±5 mW). The power at 1 Sun is approximately 46 mW.
Drive waveform switching control diagram.
Z is altitude, X and Y are lateral displacements, and ‘Angle’ is the projection of the vehicle’s orientation onto the X–Z plane (that is, the camera view), with vertical being zero. The light turns on at t = 0, and the vertical dashed line indicates when it has reached full intensity. a, The flight shown in Supplementary Video 9 (the lowest-power flight). b, The flight shown in Supplementary Video 4. Depth (Y) is estimated by measuring the fractional change in the peak width of the flexboard as our integrated vehicle spins about the yaw axis (that is, twice every yaw period, we measure the width of the flexboard), along with the starting distance from the vehicle to the camera (approximately 90 cm). The error bars on Y are due to the pixel resolution error (±0.2 mm) amplified by the ratio of the camera distance to the flexboard width. The lift force is estimated from the vertical acceleration (z″) of the vehicle during the first 3 cm of vertical flight (indicated by the circled data points), before the vehicle has noticeably tilted or moved laterally (note that for the flight in b, our lift estimate is based on data before the light has reached full intensity, because the vehicle has already moved and tilted noticeably by then).
This series of plots compares predictions for the required power (Pn) and the power available at 1 Sun (Pa) (power density 0.76 W g−1) (top row); the mean light intensity required to fly (in number of Suns) (middle row); and the area of solar cells that can be carried (As) divided by the area ‘swept’ by the wings (π(0.5S)2) (bottom row). These quantities are plotted as functions of overall vehicle scaling for vehicles with two or four wings and two different transmission ratios. Plots are shown for three actuator widths: 1× = 1.125 mm (black), 2× = 2.250 mm (red) and 3× = 3.375 mm (blue). The circled and squared dots correspond to predictions for SDAB15 and the vehicle described in this work, respectively. The steps in the plots are due to the discrete size of available solar cells.
Video 1 . The operating condition is 210 V and 165 Hz. The wing stroke is 88º peak to peak at this condition (see Extended Data Table 1b for more details).
Video 2 . The vehicle is flown open-loop at the same operating condition as in Supplementary Video 1. An additional mass of 245 mg is affixed to the vehicle, resulting in a total mass of 335 mg. Based on the vehicle’s vertical acceleration, its lift is calculated to be 370 mg.
Video 3 . In the left-hand video, an external high-voltage amplifier directly provides the drive signals (193 V and 173 Hz) supplied to the vehicle. In the right-hand video, the drive signals are produced by the on-board drive electronics (with an external 4.8 V power supply in place of the photovoltaic array). No difference is seen in the kinematics.
Video 4 . The integrated vehicle successfully takes off and performs a sustained untethered flight. The light source provides a light intensity of approximately three Suns directly above the vehicle, outside the field of view. The Kevlar thread above the solar array is for vehicle safety (it provides neither current nor support during flight).
Video 5 . The operating condition is 200 V and 170 Hz. The wing stroke is 77.5º peak to peak at this condition (see Extended Data Table 1b for more details).
Video 6 . The operating condition is 190 V and 173 Hz. The wing stroke is 68.8º peak to peak at this condition (see Extended Data Table 1b for more details).
Video 7 . The vehicle is flown open-loop at the same operating condition as in Supplementary Video 5. An additional mass of 224 mg is affixed to the vehicle, resulting in a total mass of 314 mg. Based on the vehicle’s vertical acceleration, its lift is calculated to be 340 mg.
Video 8 . The vehicle is flown open-loop at the same operating condition as in Supplementary Video 6. An additional mass of 224 mg is affixed to the vehicle, resulting in a total mass of 314 mg. Based on the vehicle’s vertical acceleration, its lift is calculated to be 325 mg.
Video 9 . This untethered flight was performed with the minimum initial available peak power (150 mW) for a successful flight.
Video 10 . The vehicle is mounted in one of two orientations on a magnetic pin such that it is free to rotate about either the pitch (top row) or roll (bottom row) axes. Open-loop torque commands are applied to implement (from left to right) negative, zero, and positive pitch and roll.
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Jafferis, N.T., Helbling, E.F., Karpelson, M. et al. Untethered flight of an insect-sized flapping-wing microscale aerial vehicle. Nature 570, 491–495 (2019). https://doi.org/10.1038/s41586-019-1322-0
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