MATEC Web Conf.
Volume 83, 2016CSNDD 2016 - International Conference on Structural Nonlinear Dynamics and Diagnosis
|Number of page(s)||4|
|Section||Deterministic and stochastic dynamics and control of nonlinear systems|
|Published online||16 November 2016|
On nonlinear dynamic of a non-ideal Duffing system with fractional damping
1 ITA-Aeronautics Technological Institute, São José dos Campos, SP, Brazil
2 UTFPR – Federal University of Technology – Paraná, Ponta Grossa, PR, Brazil
3 Lublin University of Technology, Faculty of Mechanical Engineering, Lublin, Poland
4 University of Science and Technology, Kraków, Poland
5 UFGD, Federal University of Grande Dourados, Dourados, MS, Brazil
Fractional damping is appearing in different contexts in any systems with memory and hysteresis. Such damping is defined by a fractional derivative term, in contrary to classical viscous damping which takes into account the first order derivative. In this work, we characterize the nonlinear dynamics of a non-ideal Duffing system, with fractional damping using nonlinear dynamical tools. The non-ideal excitation originates from a DC electric motor with limited power supply driving an unbalanced rotating mass. The response of the system is investigated with the voltage as a control parameter. Numerical simulations show the occurrence of regular and non-regular motions, which are investigated via bifurcation diagramoccurrence diagrams and phase plane portraits.
© The Authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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