Abstract
Effective Model Order Reduction (MOR) for geometrically nonlinear structural dynamics problems can be achieved by projecting the Finite Element (FE) equations on a basis constituted by a set of vibration modes and associated second order modal derivatives. However, the number of modal derivatives gener- ated by such approach is quadratic with respect to the number of chosen vibration modes, thus quickly making the dimension of the reduction basis large. We show that the selection of the most important second order modes can be based on the convergence of the underlying linear modal truncation approximation. Given a cer- tain time dependency of the load, this method allows to select the most significant modal derivatives set before computing it.
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Tiso, P. (2011). Optimal second order reduction basis selection for nonlinear transient analysis. In: Proulx, T. (eds) Modal Analysis Topics, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9299-4_3
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DOI: https://doi.org/10.1007/978-1-4419-9299-4_3
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