Evaluating convergence of reduced order models using nonlinear normal modes

RJ Kuether, MR Brake, MS Allen - … , Volume 3: Proceedings of the 32nd …, 2014 - Springer
It is often prohibitively expensive to integrate the response of a high order nonlinear system,
such as a finite element model of a nonlinear structure, so a set of linear eigenvectors is
often used as a basis in order to create a reduced order model (ROM). By augmenting the
linear basis with a small set of discontinuous basis functions, ROMs of systems with local
nonlinearities have been shown to compare well with the corresponding full order models.
When evaluating the quality of a ROM, it is common to compare the time response of the …

[PDF][PDF] Evaluating Convergence of Reduced Order Models Using Nonlinear Normal Modes.

MR Brake, RJ Kuether, MS Allen - 2013 - osti.gov
It is very expensive to integrate the response of a high order nonlinear system, such as a
finite element model of a nonlinear structure, so a set of linear eigenvectors is often used as
a basis in order to create a reduced order model (ROM). By augmenting the linear basis with
a small set of discontinuous basis functions, ROMs of systems with local nonlinearities have
been shown to compare well with the corresponding full order models. When evaluating the
quality of a ROM, it is common to compare the time response of the model to that of the full …
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