Abstract Flutter is an important instability in aeroelasticity. In this work,we derive a model for phenomenon which naturally leads to equation similar van der Pol oscillator the friction term given by fractional derivative. Motivated these considerations,we study and show that it exhibits Hopf bifurcation. The based on one-dimensional reduction where instabilities associated with flutter are p...

This paper presents a method to model and analyze the coupled nonlinear flight dynamics and aeroelasticity of highly flexible flyingwings. A low-order nonlinear strain-based finite element framework is used, which is capable of capturing the fundamental impact of geometrically nonlinear effects in a computationally effective formulation target for preliminary vehicle design and control evaluati...