Kerschen. Bayesian model updating of nonlinear systems using nonlinear normal modes. Structural Control and Health Monitoring, in review.M. Song, L. Renson, J. P. No¨el, B. Moaveni, and G. Kerschen. Bayesian model updat- ing of nonlinear systems using nonlinear normal modes. Structural Control and Health Monitoring, in r...
Nonlinear normal modes and their bi- furcations for an inertially-coupled nonlinear conservative system. Nonlinear Dynam. 42, 233e265.Wang, F., Bajaj, A., Kamiya, K.: Nonlinear normal modes and their bifurcations for an inertially coupled nonlinear conservative system. Nonlinear Dyn. 42 (3),...
ACOUSTICS_5_TM_1_Coupling_Duct_Modes normal Output regulation of uncertain nonlinear systems_1 THE EFFECTS OF DIFFERENT MODES OF REPRESENTATION ON MATHEMATICAL PROBLEM SOLVING1.pdf Market Entry Modes The new normal Nonlinear_component_analysis_as_a_kernel_eigenvalue_problem[1] Nonlinear Automatic Proces...
Nonlinear normal modes: a brief historical perspective and current state-of-the-art The concept of a normal mode is central in the theory of linear vibrating systems. Besides their obvious physical interpretation, the linear normal modes (LNMs) have interesting mathematical properties. They can be...
Normal form theory and nonlinear normal modes:Theoretical settings and applications. C.Touzé. Model Analysis of Nonlinear Mechanical Systems . 2014C. Touze´, "Normal form theory and nonlinear normal modes: theoretical settings and applications," in Modal Analysis of nonlinear Mechanical Systems,...
Due to mode bifurcations (i.e., bifurcations of periodic solutions of the conservative system [14]), the number of NNMs may be greater than the number of degrees of freedom, which is a particularly intriguing feature of nonlinear systems. Another advantage of NNMs is that, unlike ...
hyperparametric oscillation related to thegrowth of new frequency components from an initial cav-ity that only contains the pump and some low-level noise;the second stage of frequency comb formation brings inrich nonlinear dynamics, including subcomb formation,chaos, breathing, and mode-locking ...
Vibration analysis of nonlinear systems poses great challenges in both physics and engineering. This innovative book takes a completely new approach to the subject, focusing on nonlinear normal modes (NNMs) and nonlinear mode localization, and demonstrates that these concepts provide an excellent ...
We show that the technique of uniform approximations can be used to accurately compute 1) nonlinear amplitudes at large distances in terms of the linear ones, 2) linear (and nonlinear) quasi- normal mode frequencies, 3) the wavefunction for both linear and nonlinear modes. Our method can be ...
The concept of NNMs was pioneered in the 1960s by Rosenberg [20], who defined NNM as a ‘vibration in unison’ or ‘synchronised vibration’, a rigorous extension of linear normal modes (LNMs) to nonlinear systems. An extended definition was recently proposed in [21], which considers NNMs...