Abstract
Nonlinear Modes represent a well-known concept for the extraction of the fundamental dynamical features of nonlinear systems. In spite of extensive academic research on analytical and numerical strategies in this field, the gap to industrial application is yet to be closed. This is partly because the range of applicability and validity of most available approaches is either strictly limited or unexplored. Moreover, current literature on this subject often lacks of demonstrating the consistency with traditional methods such as direct forced response analysis.
This paper aims at showcasing the broad applicability of the recently developed generalized Fourier-Galerkin approach. This is achieved through selected examples including Finite Element models of structures with strongly nonlinear and non-conservative contact constraints. A focus is set on the capability of Nonlinear Modes to approximate the system behavior in dynamic regimes where the vibration energy is mainly confined to a single nonlinear mode. Reduced order models are proposed for steady-state as well as slow transient dynamics.
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Krack, M., Scheidt, L.Pv., Wallaschek, J. (2014). A Framework for the Computational Dynamic Analysis of Coupled Structures Using Nonlinear Modes. In: Kerschen, G. (eds) Nonlinear Dynamics, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-04522-1_5
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DOI: https://doi.org/10.1007/978-3-319-04522-1_5
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