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Harmonic Balance-Based Approach for Quasi-Periodic Motions and Stability Analysis

Article dans une revue avec comité de lecture
Auteur
THOUVEREZ, Fabrice
698 Laboratoire de Tribologie et Dynamique des Systèmes [LTDS]
ccGUSKOV, Mikhail
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]

URI
http://hdl.handle.net/10985/10080
DOI
10.1115/1.4005823
Date
2012
Journal
Journal of Vibration and Acoustics

Résumé

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.

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  • Laboratoire Procédés et Ingénierie en Mécanique et Matériaux (PIMM)

Documents liés

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  • Harmonic Balance-Based Approach for Quasi-Periodic Motions and Stability Analysis 
    Article dans une revue avec comité de lecture
    THOUVEREZ, Fabrice; ccGUSKOV, Mikhail (American Society of Mechanical Engineers, 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 ...
  • Damping coefficient estimation of a squeeze-film damper operating in a dual shaft test rig 
    Article dans une revue avec comité de lecture
    GIBERT, Claude; SANCHEZ, Lionel; THOUVEREZ, Fabrice; ccGUSKOV, Mikhail (EDP Sciences, 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 ...
  • Analysis of Indirect Measurement of Cutting Forces Turning Metal Cylindrical Shells 
    Communication avec acte
    KONDRATENKO, Kirill; GOUSKOV, Alexander; PANOVKO, Grigory; ccLORONG, Philippe; ccGUSKOV, Mikhail (Springer International Publishing Switzerland, 2015)
    Cutting forces measurement is an important component of the ma- chining processes development and control. The use of conventional direct meas- urement systems is often impossible as they interfere in the process’s dynamics. ...
  • Effects of temperature on the impedance of piezoelectric actuators used for SHM 
    Communication avec acte
    BALMES, Etienne; ccMECHBAL, Nazih; ccGUSKOV, Mikhail; ccRÉBILLAT, Marc (Vishno, 2014)
    — FEM modeling of piezoelectric patches used as actuators and sensors for SHM applications. — Test/analysis correlation of temperature effects in piezoelectric materials and glue — Numerical methods associated with the ...
  • Prediction of milling-induced vibrations in machining complex parts : numerical and experimental investigation 
    Communication sans acte
    DUCHEMIN, Jérôme; ccLORONG, Philippe; ccGUSKOV, Mikhail (CMVA, 2014)
    Avoiding vibrations during machining is an important issue for industry. When dealing with chatter prediction with a numerical approach, several models are required: dynamical models of the workpiece and tool, cutting ...

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