DocumentCode
532558
Title
Notice of Retraction
Numeric research of chaotic response for a cubic nonlinear dynamic system
Author
Jingwu Gao ; Xiaoli Wang ; Zhixiang Zhang
Author_Institution
Sch. of Sci., North Univ. of China, Taiyuan, China
Volume
6
fYear
2010
fDate
22-24 Oct. 2010
Abstract
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
Longitudinal vibration of a nonlinear viscoelastic rod system with one end fixed and another end subjected to an axial periodical excitation was studied under the consideration of transverse inertia. By using Galerkin method and for hard stiffness nonlinear material, a combined Parametric and Forcing Excited cubic nonlinear dynamic system is derived. Here, arc-length method is used for an accurate integral procedure, and numeric results are given detailedly. The process of the system evolved from stable periodic motion to chaos is illustrated in the period-doubling bifurcation graph of the parameter space, and the Lyapunov exponent spectrum is also given that is perfectly consistent with bifurcation process. The strange attractor obtained from Poincaré Map is present, which has different fractal dimension from Duffing´s one, so it may be a new chaotic attractor.
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
Longitudinal vibration of a nonlinear viscoelastic rod system with one end fixed and another end subjected to an axial periodical excitation was studied under the consideration of transverse inertia. By using Galerkin method and for hard stiffness nonlinear material, a combined Parametric and Forcing Excited cubic nonlinear dynamic system is derived. Here, arc-length method is used for an accurate integral procedure, and numeric results are given detailedly. The process of the system evolved from stable periodic motion to chaos is illustrated in the period-doubling bifurcation graph of the parameter space, and the Lyapunov exponent spectrum is also given that is perfectly consistent with bifurcation process. The strange attractor obtained from Poincaré Map is present, which has different fractal dimension from Duffing´s one, so it may be a new chaotic attractor.
Keywords
Galerkin method; Lyapunov methods; Poincare mapping; bifurcation; chaos; damping; graph theory; nonlinear dynamical systems; rods (structures); vibrations; viscoelasticity; Galerkin method; Lyapunov exponent spectrum; Poincare Map; arc-length method; axial periodical excitation; chaotic response; forcing excited cubic nonlinear dynamic system; hard stiffness nonlinear material; longitudinal vibration; nonlinear viscoelastic rod system; period-doubling bifurcation graph; stable periodic motion; transverse inertia; Gold; Arc-length method; Galerkin method; bifurcation; cubic nonlinear viscoelastic; strange attractor;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location
Taiyuan
Print_ISBN
978-1-4244-7235-2
Type
conf
DOI
10.1109/ICCASM.2010.5620740
Filename
5620740
Link To Document