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 ...
HAMMAMI, Chaima; BALMES, Etienne; GUSKOV, Mikhail (CSMA, 2013)On présente ici une méthodologie de conception d’une liaison boulonnée dissipative ainsi que sa validation par une étude expérimentale. Un premier calcul statique permet de caractériser la zone de compression induite à ...
FENDZI, Claude; MOREL, Julien; REBILLAT, Marc; GUSKOV, Mikhail; MECHBAL, Nazih; COFFIGNAL, Gérard (2014)This paper examines an important challenge in ultrasonic structural health monitoring (SHM), which is the problem of the optimal placement of sensors in order to accurately detect and localize damages. The goal of this ...
BALMES, Etienne; GUSKOV, Mikhail; REBILLAT, Marc; MECHBAL, Nazih (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 ...
HAMMAMI, Chaima; BALMES, Etienne; GUSKOV, Mikhail (Vishno, 2014)− Design of damping in multi-jointed structures is studied here. − Dissipation sources are viscoelastic behavior and contact/friction at joints interfaces. − Reduction on meta-models of nonlinear joints models is ...