This chapter discusses the concept of bifurcation in more detail, using a simple aeroelastic system with structural nonlinearity. It is a 2D flat plate wing with pitch, plunge and control rotation degrees of freedom and with unsteady aerodynamic forces. The unsteady aerodynamic modelling gives rise to aerodynamic states, sometimes resulting in different bifurcation behaviour than that obtained from quasi‐steady models. The chapter presents a wide range of bifurcations that can affect simple aeroelastic systems and explains their occurrence using some of the mathematical tools. It then explores all the other bifurcations usually encountered in aeroelastic systems, such as folds, tori and period‐doubling. The chapter explains the appearance of bifurcations in nonlinear systems in terms of the characteristics of related linear systems. In particular, it relates the flutter, static divergence and internal resonance of the underlying linear system to the bifurcations of the nonlinear one.
Bifurcations of Fundamental Aeroelastic Systems
Introduction to Nonlinear Aeroelasticity ; 159-259
2017-03-28
101 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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