Harmonic Balance-Based Approach for Quasi-Periodic Motions and Stability Analysis
TypeArticles dans des revues avec comité de lecture
Quasi-periodic motions and their stability are addressed from the point of view of different harmonic balance-based approaches. Two numerical methods are used: a generalized multidimensional version of harmonic balance and a modification of a classical solution by harmonic balance. The application to the case of a nonlinear response of a Duffing oscillator under a bi-periodic excitation has allowed a comparison of computational costs and stability evaluation results. The solutions issued from both methods are close to one another and time marching tests showing a good agreement with the harmonic balance results confirm these nonlinear responses. Besides the overall adequacy verification, the observation comparisons would underline the fact that while the 2D approach features better performance in resolution cost, the stability computation turns out to be of more interest to be conducted by the modified 1D approach.
Files in this item
Showing items related by title, author, creator and subject.
GUSKOV, Mikhail; THOUVEREZ, Fabrice (ASME, 2012)Quasi-periodic motions and their stability are addressed from the point of view of different harmonic balance-based approaches. Two numerical methods are used: a generalized multidimensional version of harmonic balance and ...
GIBERT, Claude; GUSKOV, Mikhail; SANCHEZ, Lionel; THOUVEREZ, Fabrice (Cambridge University Press, 2010)Squeeze film dampers (SFD) are used to reduce dynamical loads in rotating machinery or to improve their performances in numerous industrial applications. The present paper considers the response of a dual shaft system with ...
GERASIMENKO, Artem; GUSKOV, Mikhail; DUCHEMIN, Jérôme; LORONG, Philippe; GOUSKOV, Alexander (ELSEVIER, 2015)Thin tubular parts are often subject to turning process during manufacturing. The increasing compliance of the workpiece, which is associated to tool displacement and to matter removal, can give rise to chatter, leading ...
HAMMAMI, Chaima; BALMES, Etienne; GUSKOV, Mikhail (Elsevier, 2015)Mechanical assemblies are subjected to many dynamic loads and modifications are often needed to achieve acceptable vibration levels. While modifications on mass and stiffness are well mastered, damping modifications are ...
FENDZI, Claude; REBILLAT, Marc; MECHBAL, Nazih; GUSKOV, Mikhail; COFFIGNAL, Gérard (SAGE Journals, 2016)This paper presents a temperature compensation method for Lamb wave structural health monitoring. The proposed approach considers a representation of the piezo-sensor signal through its Hilbert transform that allows one ...