On nonlinear dynamic of a non-ideal Duffing system with fractional damping

被引：2

作者：

Balthazar, J. M. ^{[1
]}

Tusset, A. M. ^{[2
]}

Piccirillo, V. ^{[2
]}

Nabarrete, A. ^{[1
]}

Litak, G. ^{[3
,4
]}

Oliveira, C. ^{[1
,5
]}

机构：

[1] ITA Aeronaut Technol Inst, Sao Jose Dos Campos, SP, Brazil

[2] UTFPR Fed Univ Technol Parana, Ponta Grossa, PR, Brazil

[3] Lublin Univ Technol, Fac Mech Engn, Lublin, Poland

[4] Univ Sci & Technol, Krakow, Poland

[5] Fed Univ Grande Dourados, Dourados, MS, Brazil

来源：

CSNDD 2016 - INTERNATIONAL CONFERENCE ON STRUCTURAL NONLINEAR DYNAMICS AND DIAGNOSIS | 2016年 / 83卷

关键词：

D O I：

10.1051/matecconf/20168301002

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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 diagrams and phase plane portraits.

引用

页数：4

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