Use of bifurcation and continuation methods for aircraft trim and stability analysis - A state-of-the-art

Aditya Paranjape, Nandan Kumar Sinhat, Narayan Ananthkrishnan

Research output: Chapter in Book/Report/Conference proceedingConference PaperOther

20 Citations (Scopus)

Abstract

The bifurcation and continuation methodology has evolved over the last two decades into a powerful tool for the analysis of trim and stability problems in aircraft flight dynamics. Over the years, bifurcation methods have been employed to deal with a variety of problems in aircraft dynamics, such as predicting high angle of attack behavior, especially spin, and studying instabilities in rolling maneuvers. The bifurcation methodology has served as a tool for the design of flight control systems, and is promising to be a useful tool in the aircraft design, simulation, testing, and evaluation process. In the present paper, we describe the state-of-the-art in the use of bifurcation and continuation methods for the analysis of aircraft trim and stability with a few illustrative examples. Both the standard and extended bifurcation analysis procedures are discussed and typical results for instabilities in high-a flight and in inertia-coupled roll maneuvers are shown. This is followed by several problems in nonlinear flight dynamics where bifurcation and continuation methods have been fruitfully applied to yield effective solutions. Finally, the use of bifurcation theory to arrive at analytical instability criteria is demonstrated for the aircraft roll coupling and wing rock problems. 76 references have been cited in the text.

Original languageEnglish
Title of host publicationCollection of Technical Papers - 45th AIAA Aerospace Sciences Meeting
PublisherAmerican Institute of Aeronautics and Astronautics
Pages12670-12687
Number of pages18
ISBN (Print)1563478900, 9781563478901
DOIs
Publication statusPublished - 2007
Externally publishedYes
EventAIAA Aerospace Sciences Meeting 2007 - Reno, United States of America
Duration: 8 Jan 200711 Jan 2007
Conference number: 45th
https://arc.aiaa.org/doi/book/10.2514/MASM07 (Proceedings)

Publication series

NameCollection of Technical Papers - 45th AIAA Aerospace Sciences Meeting
Volume18

Conference

ConferenceAIAA Aerospace Sciences Meeting 2007
Country/TerritoryUnited States of America
CityReno
Period8/01/0711/01/07
Internet address

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