Instability zones identification in multiblade rotor dynamics

Leonardo Sanches (1) , Guilhem Michon (1) , Alain Berlioz (1) , Daniel Alazard (2)

1 ICA - Institut Clément Ader
2 DMIA - Département de Mathématiques, Informatique, Automatique

Helicopter ground resonance is an unstable dynamic phenomenon which can lead to the total destruction of the aircraft during take-off or landing phases. Studies have been developed by researchers which considered a simplified mathematical model. With the goal of further comprehend the phenomenon, predictions of unstable motions are done and compared. First, Floquet's theory is applied to solve the linear equations of motion including parametric and periodic terms. Then, the multiple scales method is applied on the nonlinear model. The analyses highlight that, by keeping the nonlinear terms in the equations, other instability zones are identified.

Mots clés: Ground resonance; Nonlinear dynamics; Floquet method; Multiple scales method

Domaines: Mécanique des structures [physics.class-ph]

Leonardo Sanches, Guilhem Michon, Alain Berlioz, Daniel Alazard. Instability zones identification in multiblade rotor dynamics. 11th Pan-American Congress of Applied Mechanics (PACAM XI), Jan 2010, Foz do Iguaçu, Brazil. pp.PAC0152. ⟨hal-01852296⟩