Two-parameter bifurcation analysis of longitudinal flight dynamics

Author

Der-Cherng Liaw ; Yew-Wen Liang ; Wen-Ching Chung

Author_Institution

Dept. of Electr. & Control Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan

Volume

39

Issue

3

fYear

2003

fDate

7/1/2003 12:00:00 AM

Firstpage

1103

Lastpage

1112

Abstract

The bifurcation analysis of longitudinal flight dynamics is presented, emphasizing the influence of elevator deflection and aircraft mass. Based on a mathematical model proposed by Garrard and Jordan (1977), a rich variety of bifurcation phenomena such as saddle-node bifurcation, Hopf bifurcation, and cycle fold bifurcations are observed in the numerical simulations of longitudinal flight dynamics of the F-8 aircraft. The occurrence of saddle-node bifurcation and Hopf bifurcation may result in jump behavior and pitch oscillations of flight dynamics. The analysis leads to a division of the longitudinal flight space into several maneuvering regions, and may provide more understanding of the longitudinal flight dynamics.

Keywords

aerospace simulation; aircraft control; bifurcation; F-8 aircraft; Hopf bifurcation; aircraft mass; bifurcation analysis; cycle fold bifurcation; elevator deflection; longitudinal flight dynamics; mathematical model; numerical simulation; saddle-node bifurcation; Aerodynamics; Aircraft; Bifurcation; Couplings; Elevators; Limit-cycles; Mathematical model; Nonlinear dynamical systems; Nonlinear equations; Numerical simulation;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems, IEEE Transactions on

Publisher

ieee

ISSN

0018-9251

Type

jour

DOI

10.1109/TAES.2003.1238764

Filename

1238764