Bifurcation and chaotic analysis of aeroelastic systems

Cheng Chi Wang, Chieh-Li Chen, Her Terng Yau

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The dynamic behavior of aeroelastic systems is governed by a complex interaction among inertial, elastic, and aerodynamic forces. To prevent system instability, the interaction among these forces must be properly understood. Accordingly, the present study utilizes the differential transformation method (DTM) to examine the nonlinear dynamic response of a typical aeroelastic system (an aircraft wing) under realistic operating parameters. The system behavior and onset of chaos are interpreted by means of bifurcation diagrams, Poincaré maps, power spectra, and maximum Lyapunov exponent plots. The results reveal the existence of a complex dynamic behavior comprising periodic, quasi-periodic and chaotic responses. It is shown that chaotic motion occurs at specific intervals for different trailing edge and leading edge angles with changing initial conditions. The results presented in this study provide a useful guideline for the design of aircraft wings and confirm the validity of the DTM method as a design and analysis tool for aeroelastic systems in general.

Original languageEnglish
Article number021004
JournalJournal of Computational and Nonlinear Dynamics
Volume9
Issue number2
DOIs
Publication statusPublished - 2014 Jan 1

Fingerprint

Bifurcation
Differential Transformation Method
Dynamic Behavior
Aircraft
Power spectrum
Chaos theory
Dynamic response
Aerodynamics
Chaotic Motion
Nonlinear Response
Bifurcation Diagram
Complex Dynamics
Dynamic Response
Power Spectrum
Interaction
Lyapunov Exponent
Nonlinear Dynamics
Chaos
Initial conditions
Angle

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Mechanical Engineering
  • Applied Mathematics

Cite this

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Bifurcation and chaotic analysis of aeroelastic systems. / Wang, Cheng Chi; Chen, Chieh-Li; Yau, Her Terng.

In: Journal of Computational and Nonlinear Dynamics, Vol. 9, No. 2, 021004, 01.01.2014.

Research output: Contribution to journalArticle

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