Nonlinear normal modes for damped geometrically nonlinear systems: Application to reduced-order modelling of harmonically forced structures

By Cyril Touzé, M. Amabili. 2006

234 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/8a12cc2606c24b999dfbb201340b1dd905b27c5c

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In Civil and Structural Engineering

In Control and Systems Engineering

Citations in the corpus

A new modal superposition method for nonlinear vibration analysis of structures using hybrid mode shapes (2018, methodology): “6 Moreover, Nonlinear Normal Mode (NNM) concept first proposed by Rosenberg [32] has received attention in further years [33-42], and recently quite a number of new studies have been carried out for the dynamic analysis of nonlinear MDOF systems by using NNM approach [43-48].”
Non-linear vibrations of shells: A literature review from 2003 to 2013 (2014, methodology): “Touzé and Amabili [117] used the non linear normal modes method and built a reduced order model with only two degrees of freedom that showed accurate results for vibration amplitudes up to twice the thickness of the water ﬁ lled shell.”
Nonlinear normal modes, Part I: A useful framework for the structural dynamicist (2009, background): “In a recent series of works [39,48,67,81,97,102], it was shown that NNMs can provide effective bases for constructing reduced-order models of the dynamics of discrete and continuous nonlinear oscillators.”
Modal testing of nonlinear vibrating structures based on nonlinear normal modes: Experimental demonstration (2011, background): “, hardening or softening) may be modified as shown in [24].”
Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation techniques (2009, methodology): “These algorithms have been extensively used for computing the forced response and limit cycles of nonlinear dynamical systems [6, 7, 8, 9, 10, 11].”