| Issue |
MATEC Web Conf.
Volume 83, 2016
CSNDD 2016 - International Conference on Structural Nonlinear Dynamics and Diagnosis
|
|
|---|---|---|
| Article Number | 01002 | |
| Number of page(s) | 4 | |
| Section | Deterministic and stochastic dynamics and control of nonlinear systems | |
| DOI | https://doi.org/10.1051/matecconf/20168301002 | |
| 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
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