Abstract
Longitudinal flight dynamics of hovering micro-air-vehicles and insects is considered. The natural oscillatory flapping motion of the wing leads to time-periodic stability derivatives (aerodynamic loads due to perturbation in the body-motion variables). Hence these terms play the role of parametric excitation on the flight dynamics. The main objective of this work is to assess the effects of these aerodynamic-induced parametric excitation terms that are neglected by the averaging analysis. The method of multiple scales is used to determine a second-order uniform expansion for the response of the time-periodic system at hand. The proposed approach is applied to the hovering flight dynamics of five insects that cover a wide range of operating frequency ratios to assess the applicability of the averaging analysis.
Original language | English |
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Pages (from-to) | 2399-2408 |
Number of pages | 10 |
Journal | Nonlinear Dynamics |
Volume | 78 |
Issue number | 4 |
DOIs | |
State | Published - 1 Dec 2014 |
Keywords
- Averaging theorem
- Flapping flight
- Flight dynamics
- Hovering insects
- Method of multiple scales
- Micro air vehicles
- Parametric excitation
- Perturbation techniques
- Time-periodic systems