Flapper Drones Documentation
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Simulation resources

Mass properties

The following mass properties were identified using a bifilar pendulum setup and can be used as initial guess in simulations.

Flapper Nimble+ configuration measured:

  • Flapper Nimble+ without body shells/panels,
  • ~2-gram radio receiver was mounted close to the center of mass,
  • standard battery was mounted,
  • landing gear was NOT attached

Center of mass:

  • ~60 mm below the wing leading edges

Mass and inertia:

Without wings With wings With wings mounted in XY
mass [g] 94.3 102.6 102.6
Ixx (roll) [kg/m2] 3.08e-4 5.55e-4 n.m.
Iyy (pitch) [kg/m2] 3.00e-4 3.35e-4 n.m.
Izz (yaw) [kg/m2] 2.68e-5 3.59e-4 2.77e-4

Since no drag was assumed when processing the results, the inertia measurements with wings are likely overestimated. The data reported in the last column were obtained with the wings mounted in horizontal orientation (wing surface aligned with the leading edge plane) to reduce the effect of wing drag to some extent.

Thrust data

Thrust data measured on a test bench with a single wing pair (multiply by 2 for total thrust):

Motor command Thrust Flapping frequency Power Voltage Current
[UINT32] [gf] [Hz] [W] [V] [A]
10000 0.59 1.53 1.76 8.41 0.21
13500 5.84 4.33 2.47 8.41 0.29
17000 13.29 6.21 3.45 8.40 0.41
20500 22.92 7.85 4.76 8.39 0.57
24000 32.62 9.60 6.21 8.38 0.74
27500 43.33 11.19 7.94 8.36 0.95
31000 53.85 12.69 9.80 8.35 1.17
34500 64.02 14.42 11.70 8.34 1.40
38000 75.22 15.98 13.84 8.32 1.66
41500 81.49 17.48 16.18 8.30 1.95

Battery discharge curve

A battery discharge curve measured with a new 2S 300mAh Flapper Drones battery with XT30 connector:

Mathematic modelling

Near-hover flight dynamics of Flapper Nimble+ can be modeled using linear-drag models.

Scientific papers with models of the Delfly Nimble from TU Delft (a smaller predecessor of the Nimble+):

  • Matěj Karásek et al., A tailless aerial robotic flapper reveals that flies use torque coupling in rapid banked turns. Science 361, 1089-1094 (2018).
  • Karl Martin Kajak et al., A minimal longitudinal dynamic model of a tailless flapping wing robot for control design. Bioinspiration & Biomimetics 4, vol. 14 (2019).

Scientific paper with linear drag model and the drag coefficients of the Nimble+ (see Appendix 1):

  • Sven Pfeiffer et al., Three-dimensional relative localization and synchronized movement with wireless ranging. Swarm Intelligence 17, 147–172 (2023).

Linear drag coefficients [bx, by, bz] and Center of Pressure position with respect to the Center of Mass [rx, ry, rz] used in the updated EKF filter:

bx = 4.2 N*s/m
by = 1.8 N*s/m
bz = 0.3 N*s/m
rx = ry = 0
rz = 0.03 m

Have you developed and/or published a model of the Flapper Nimble+ and would you like to share it with the community? Please contact our support such that you model can be added to this section.

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Flapper Drones Documentation

Table of Contents

Table of Contents

  • Simulation resources
    • Mass properties
    • Thrust data
    • Battery discharge curve
    • Mathematic modelling

FLAPPER NIMBLE+

GENERAL INFORMATION

  • Specifications
  • Components & accessories


GETTING STARTED

  • Battery charging & management
  • Pre-flight setup
  • Power-up & power-down
  • Remote controllers
  • Flying
  • Servicing


ADVANCED USE

  • Crazyflie Ecosystem
  • Software resources
  • PC client installation
  • Firmware update
  • Servo-trimming
  • Integrated features
  • Extra addon-decks & sensors
  • Motor mapping
  • State estimation & Control
  • Autonomous flight
  • Simulation resources
  • 3D CAD models
  • Scientific papers


SUPPORT/OTHER QUESTIONS?

support@flapper-drones.eu