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• W2172217282 endingPage "2046" @default.
• W2172217282 startingPage "2033" @default.
• W2172217282 abstract "Because of the periodically varying aerodynamic and inertial forces of the flapping wings, a hovering or constant-speed flying insect is a cyclically forcing system, and, generally, the flight is not in a fixed-point equilibrium, but in a cyclic-motion equilibrium. Current stability theory of insect flight is based on the averaged model and treats the flight as a fixed-point equilibrium. In the present study, we treated the flight as a cyclic-motion equilibrium and used the Floquet theory to analyse the longitudinal stability of insect flight. Two hovering model insects were considered-a dronefly and a hawkmoth. The former had relatively high wingbeat frequency and small wing-mass to body-mass ratio, and hence very small amplitude of body oscillation; while the latter had relatively low wingbeat frequency and large wing-mass to body-mass ratio, and hence relatively large amplitude of body oscillation. For comparison, analysis using the averaged-model theory (fixed-point stability analysis) was also made. Results of both the cyclic-motion stability analysis and the fixed-point stability analysis were tested by numerical simulation using complete equations of motion coupled with the Navier-Stokes equations. The Floquet theory (cyclic-motion stability analysis) agreed well with the simulation for both the model dronefly and the model hawkmoth; but the averaged-model theory gave good results only for the dronefly. Thus, for an insect with relatively large body oscillation at wingbeat frequency, cyclic-motion stability analysis is required, and for their control analysis, the existing well-developed control theories for systems of fixed-point equilibrium are no longer applicable and new methods that take the cyclic variation of the flight dynamics into account are needed." @default.
• W2172217282 created "2016-06-24" @default.
• W2172217282 creator A5053117949 @default.
• W2172217282 creator A5059023717 @default.
• W2172217282 date "2012-04-04" @default.
• W2172217282 modified "2023-09-30" @default.
• W2172217282 title "Floquet stability analysis of the longitudinal dynamics of two hovering model insects" @default.
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• W2172217282 doi "https://doi.org/10.1098/rsif.2012.0072" @default.
• W2172217282 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/3405748" @default.
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