Nonlinear vibration and of the Duffing oscillator to parametric excitation with time delay feedback

被引：40

作者：

Amer, Y. A. ^{[1
]}

EL-Sayed, A. T. ^{[2
]}

Kotb, A. A. ^{[3
]}

机构：

[1] Zagazig Univ, Dept Math, Fac Sci, Zagazig, Egypt

[2] Modern Acad Engn & Technol, Dept Basic Sci, Maadi, Egypt

[3] Damietta Univ, Dept Math, Fac Sci, Dumyat, Egypt

来源：

NONLINEAR DYNAMICS | 2016年 / 85卷 / 04期

关键词：

Duffing oscillator; Multiple scales perturbation; Sub-harmonic resonance; Time delay; Stability; SYSTEM; SUPPRESSION; ABSORBER; CHAOS;

D O I：

10.1007/s11071-016-2840-z

中图分类号：

TH [机械、仪表工业];

学科分类号：

120111 [工业工程];

摘要：

The aim of this paper was to study the nonlinear vibrations of a parametric excited Duffing oscillator with time delay feedback. At some values of the time delay can be used to suppress the vibration of the nonlinear system. The method of multiple scales perturbation is applied to obtain the analytical solution of the system and the frequency response equation near sub-harmonic resonance case. The stability of the obtained nonlinear solution is studied and solved numerically. The effects of the different parameters of the system behavior are investigated. Analytical solution in this paper is in good agreement with the numerical simulation.

引用

页码：2497 / 2505

页数：9

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