TY - JOUR
T1 - The need for higher-order averaging in the stability analysis of hovering, flapping-wing flight
AU - Taha, Haithem E.
AU - Tahmasian, Sevak
AU - Woolsey, Craig A.
AU - Nayfeh, Ali H.
AU - Hajj, Muhammad R.
N1 - Publisher Copyright:
© 2015 IOP Publishing Ltd.
PY - 2015/2/1
Y1 - 2015/2/1
N2 - Because of the relatively high flapping frequency associated with hovering insects and flapping wing micro-air vehicles (FWMAVs), dynamic stability analysis typically involves direct averaging of the time-periodic dynamics over a flapping cycle. However, direct application of the averaging theorem may lead to false conclusions about the dynamics and stability of hovering insects and FWMAVs. Higher-order averaging techniques may be needed to understand the dynamics of flapping wing flight and to analyze its stability. We use second-order averaging to analyze the hovering dynamics of five insects in response to high-amplitude, high-frequency, periodic wing motion. We discuss the applicability of direct averaging versus second-order averaging for these insects.
AB - Because of the relatively high flapping frequency associated with hovering insects and flapping wing micro-air vehicles (FWMAVs), dynamic stability analysis typically involves direct averaging of the time-periodic dynamics over a flapping cycle. However, direct application of the averaging theorem may lead to false conclusions about the dynamics and stability of hovering insects and FWMAVs. Higher-order averaging techniques may be needed to understand the dynamics of flapping wing flight and to analyze its stability. We use second-order averaging to analyze the hovering dynamics of five insects in response to high-amplitude, high-frequency, periodic wing motion. We discuss the applicability of direct averaging versus second-order averaging for these insects.
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U2 - 10.1088/1748-3190/10/1/016002
DO - 10.1088/1748-3190/10/1/016002
M3 - Article
C2 - 25561166
AN - SCOPUS:84922444764
SN - 1748-3182
VL - 10
JO - Bioinspiration and Biomimetics
JF - Bioinspiration and Biomimetics
IS - 1
M1 - 016002
ER -