Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 924275, 17 pages
Research Article

Nonlinear and Dynamic Aerodynamic Models for Commercial Transport Aircraft with Adverse Weather Effects

1Department of Aviation Mechanical Engineering, China University of Science and Technology, Hen-Shan (312), Taiwan
2Department of Aeronautics and Astronautics, National Cheng Kung University, Taiwan
3Accident Investigation Division, Aviation Safety Council, Taiwan

Received 27 August 2009; Accepted 25 November 2009

Academic Editor: José Balthazar

Copyright © 2010 Ray C. Chang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The flight dynamic equations in mathematics for aircraft response to the adverse weathers, such as wind shear, atmospheric turbulence, and in-flight icing, are nonlinear and unsteady. To effectively analyze the performance degradation and variations in stability of commercial aircraft that encountered these weather hazards, the nonlinear and dynamic (i.e., time dependent) aerodynamic models based on flight data would be needed. In the present paper, a numerical modeling method based on a fuzzy-logic algorithm will be presented to estimate the aerodynamic models for a twin-jet transport by using the flight data from the flight data recorder (FDR). The aerodynamic models having the capability to generate continuous stability derivatives, especially for sensitivity study of unknown factors in adverse weather conditions, will be demonstrated in this paper.