Bifurcation and Chaotic Analysis of Aeroelastic Systems-Reference-Cited by-同舟云学术

Bifurcation and Chaotic Analysis of Aeroelastic Systems

Published:2013-09-12 Issue:2 Volume:9 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Wang Cheng-Chi¹,Chen Chieh-Li²,Yau Her-Terng³

Affiliation:

1. Graduate Institute of Precision Manufacturing, National Chin-Yi University of Technology, No.57, Sec. 2, Zhongshan Rd., Taiping Dist., Taichung 41170, Taiwan

2. Department of Aeronautic and Astronautics, National Cheng Kung University, No.1, University Road, Tainan 70101, Taiwan

3. Department of Electrical Engineering, National Chin-Yi University of Technology, No.57, Sec. 2, Zhongshan Rd., Taiping Dist., Taichung 41170, Taiwan

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.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4025124/6104263/cnd_9_2_021004.pdf

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