...Clément Delbé; Yann Colaïtis; Alain Batailly Building on the regularized-Lanczos harmonic balance method (RL-HBM), a previously developed frequency method, this paper presents a numerical bifurcation tracking strategy dedicated to high-dimensional nonlinear mechanical systems. In order...

... Lagrangian frequency-time strategy associated with the harmonic balance method (DLFT-HBM) is used to predict the blade's dynamics response as well as to compute the autonomous nonlinear normal modes. The open industrial fan blade NASA rotor 67 is employed in order to avoid confidentiality issues...

...@sustech.edu.cn 21 09 2022 05 10 2022 13 01 2023 base excitation harmonic balance method squeeze film damper steady-state response Turbomachinery is of great significance in modern industrial applications. It is assumed in most studies and designs that the rotating machine...

... a harmonic balance method-based approach presented in a previous paper. It accounts for unilateral contact and dry friction of the rotating blade against a rigid casing through a regularized penalty law. A Lanczos filtering technique is also employed to mitigate spurious oscillations related to the Gibbs...

... Harmonic Balance Method-based methodologies are assessed: (1) an approach relying on augmented Lagrangians and (2) a second method using a regularized penalty law combined with a Lanczos σ -approximation filter. As a reference point for this comparison, a time-domain numerical strategy relying...

...Yann Colaïtis; Alain Batailly In this study, a frequency-domain approach based on the harmonic balance method coupled to a predictor-corrector continuation algorithm is implemented for the qualitative analysis of blade-tip/casing contacts in aircraft engines. Unilateral contact and dry friction...

... Mathematics), 3rd ed., Springer-Verlag , New York . [3] Fontanela , F. , Grolet , A. , Salles , L. , and Hoffmann , N. , 2019 , “ Computation of Quasi-Periodic Localised Vibrations in Nonlinear Cyclic and Symmetric Structures Using Harmonic Balance Methods ,” J. Sound...