Resonances of nonlinear mechanical systems: a nonlinear normal mode perspective

The concept of resonance is central in structural dynamics, because the maximum amplitude at which a system or a product vibrates occurs at resonance frequencies. Unlike linear systems, nonlinear systems can exhibit different types of resonances including fundamental, internal and isolated resonances. In this presentation, we show how the nonlinear normal mode (NNM) theory can be exploited for a thorough understanding of the impact of nonlinearity on system dynamics. Both the numerical computation of NNMs and their identification from experimental data are discussed.