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Prediction of solutions of the Duffing system with tuned mass damper

Mnich K.

Mechanics and Mechanical Engineering

2018

Vol. 22, nr 4

983--989

In this work we analyze the behavior of a nonlinear dynamical system using a probabilistic approach. We focus on the coexistence of solutions and we check how the changes in the parameters of excitation influence the dynamics of the system. For the demonstration we use the Duffng oscillator with the tuned mass absorber. We mention the numerous attractors present in such a system and describe how they were found with the method based on the basin stability concept.