Model reduction of a periodically forced slow–fast continuous piecewise linear system

6. Oktober 2023

Nonlinear Dynamics, 2023

In this paper, singular perturbation theory is exploited to obtain a reduced-order model of a slow– fast piecewise linear 2-DOF oscillator subjected to harmonic excitation. The nonsmooth nonlinearity of piecewise linear nature is studied in the case of bilinear damping as well as with bilinear stiffness characteristics. We propose a continuous matching of the locally invariant slow manifolds obtained in each subregion of the state space, which yields a reduced-order model of the same nature as the full dynamics. The frequencyresponse curves obtained from the full system and the reduced-order models  uggest that the proposed reduction method can capture nonlinear behaviors such as super- and subharmonic resonances.


Dieses Bild zeigt Remco I. Leine

Remco I. Leine

Prof. Dr. ir. habil.


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