Nonlinear Harmonic Analysis of a Blade Model Subjected to Large Geometrical Deflection and Internal Resonance

Nicolas Di Palma (1, 2) , Adrien Martin (1) , Fabrice Thouverez (1) , Vivien Courtier (2)

1 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes
2 Safran Aircraft Engines

This paper is devoted to the study of the nonlinear harmonic response of an industrial blade model subjected to large geometrical deflection. A reduction procedure is performed on the blade model using the linear normal modes of the structure. Geometrical nonlinear effects are taken into account by considering cubic and quadratic stiffnesses in the dynamical reduced model. Reduced nonlinear stiffness coefficients are computed with the STiffness Evaluation Procedure (STEP) and periodic solutions are sought using the Harmonic Balance Method (HBM) coupled to a pseudo-arclength continuation. Along with the harmonic response, a bifurcation analysis is performed to compute both turning and branching points. Specific attention is paid to the internal resonance phenomenon. 2 to 1 internal resonance occurred during the frequency response analysis close to the first and second modes of the reduced model. Mode coupling phenomena occurred during the harmonic analysis and secondary branches of solutions were obtained from branching point bifurcations.

Domaines: Mécanique des structures [physics.class-ph]; Mécanique des solides [physics.class-ph]; Vibrations [physics.class-ph]; Génie mécanique [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]

Nicolas Di Palma, Adrien Martin, Fabrice Thouverez, Vivien Courtier. Nonlinear Harmonic Analysis of a Blade Model Subjected to Large Geometrical Deflection and Internal Resonance. Proceedings of ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition, Jun 2019, Phoenix, United States. ⟨10.1115/GT2019-91213⟩. ⟨hal-02159855⟩