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Publication - Dr Robert Szalai

    Nonlinear model identification and spectral submanifolds for multi-degree-of-freedom mechanical vibrations

    Citation

    Szalai, R, Ehrhardt, D & Haller, G, 2017, ‘Nonlinear model identification and spectral submanifolds for multi-degree-of-freedom mechanical vibrations’. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol 473.

    Abstract

    In a nonlinear oscillatory system, spectral submanifolds (SSMs) are the smoothest invariant manifolds tangent to linear modal subspaces of an equilibrium. Amplitude-frequency plots of the dynamics on SSMs provide the classic backbone curves sought in experimental nonlinear model identification. We develop here a methodology to compute analytically both the shape of SSMs and their corresponding backbone curves from a data-assimilating model fitted to experimental vibration signals. Using examples of both synthetic and real experimental data, we demonstrate that this approach reproduces backbone curves with high accuracy.

    Full details in the University publications repository