Effect of the aerodynamic-induced parametric excitation on the longitudinal stability of hovering MAVs/insects

Haithem E. Taha, Ali H. Nayfeh, Muhammad R. Hajj

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

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 languageEnglish
Pages (from-to)2399-2408
Number of pages10
JournalNonlinear Dynamics
Volume78
Issue number4
DOIs
StatePublished - 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

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