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• W3048762851 abstract "We show how spectral submanifold (SSM) theory can be used to extract forced-response curves without any numerical simulation in high-degree-of-freedom, periodically forced mechanical systems. We use multivariate recurrence relations to construct the SSMs, achieving a major speed-up relative to earlier autonomous SSM algorithms. The increase in computational efficiency promises to close the current gap between studying lower-dimensional academic examples and analyzing larger systems obtained from finite-element modeling, as we illustrate on two different discretized damped-forced beam models. Using the exact reduction procedure via SSMs for obtaining forced response curves, we further demonstrate speed gains of several orders in magnitude relative to the available state-of-the-art continuation packages, while retaining accuracy." @default.
• W3048762851 created "2020-08-18" @default.
• W3048762851 creator A5052522764 @default.
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• W3048762851 date "2020-12-01" @default.
• W3048762851 modified "2023-09-30" @default.
• W3048762851 title "Model reduction to spectral submanifolds and forced-response calculation in high-dimensional mechanical systems" @default.
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• W3048762851 doi "https://doi.org/10.1016/j.jsv.2020.115640" @default.
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