amplitude | R Documentation |
This function returns the angular peak amplitude of the flapping motion, optimized for minimum induced power for prescribed reduced frequency (kf), strokeplane angle (phi), and thrust-to-lift ratio (TL).
amplitude(kf, phi, TL)
Using f
for wingbeat frequency, b
for wingspan, and U
for air speed:
kf |
reduced frequency ( |
phi |
strokeplane angle in radians; valid range between 0 and 0.87 rad (50 deg) |
TL |
thrust requirement or the trust-to-lift ratio; valid range between 0 and 0.3 |
Angular peak amplitude of the flapping motion in degrees.
Marco Klein Heerenbrink
Klein Heerenbrink, M., Johansson, L. C. and Hedenström, A. 2015 Power of the wingbeat: modelling the effects of flapping wings in vertebrate flight. Proc. R. Soc. A 471, 2177 \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1098/rspa.2014.0952")}
computeFlappingPower
## reduced frequency
kf <- 2*pi*4/10 # 4 Hz at 10 m/s for 1m wing span
## strokeplane angle
phi <- 20*pi/180 # 20 degrees
## thrust ratio
TL <- 0.2
## wingbeat amplitude
theta <- amplitude(kf,phi,TL)
print(theta)
# [1] 49.17679
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