Datum
2021-09-16Schlagwort
510 Mathematik 620 Ingenieurwissenschaften Chaotisches SystemNichtlineares SystemHamiltonsches SystemMetadata
Zur Langanzeige
Aufsatz
On the appearance of horseshoe chaos in a nonlinear hysteretic systems with negative stiffness
Zusammenfassung
The problem of inhibition of horseshoe chaos in a nonlinear hysteretic systems using negative stiffness is investigated in this paper. The Bouc–Wen model is used to describe the force produced by both the purely hysteretic and linear elastic springs. The analytical investigation of the Hamiltonian shows that the appearance of separatrix in the system is directly related to the parameters of the hysteretic forces. This means that the transverse intersection between the perturbed and unperturbed separatrix can be controlled according to the shape parameters of the hysteretic model.
Zitierform
In: Archive of Applied Mechanics Volume 91 / Issue 12 (2021-09-16) , S. 4621-4630 ; eissn:1432-0681Förderhinweis
Gefördert im Rahmen des Projekts DEALZitieren
@article{doi:10.17170/kobra-202111015004,
author={Youtha Ngouoko, Octave Nathaniel and Nana Nbendjo, Blaise Roméo and Dorka, Uwe},
title={On the appearance of horseshoe chaos in a nonlinear hysteretic systems with negative stiffness},
journal={Archive of Applied Mechanics},
year={2021}
}
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2021-11-15T14:56:17Z 2021-11-15T14:56:17Z 2021-09-16 doi:10.17170/kobra-202111015004 http://hdl.handle.net/123456789/13388 Gefördert im Rahmen des Projekts DEAL eng Namensnennung 4.0 International http://creativecommons.org/licenses/by/4.0/ horseshoe chaos hysteretic systems negative stiffness Bouc-Wen model separatrix 510 620 On the appearance of horseshoe chaos in a nonlinear hysteretic systems with negative stiffness Aufsatz The problem of inhibition of horseshoe chaos in a nonlinear hysteretic systems using negative stiffness is investigated in this paper. The Bouc–Wen model is used to describe the force produced by both the purely hysteretic and linear elastic springs. The analytical investigation of the Hamiltonian shows that the appearance of separatrix in the system is directly related to the parameters of the hysteretic forces. This means that the transverse intersection between the perturbed and unperturbed separatrix can be controlled according to the shape parameters of the hysteretic model. open access Youtha Ngouoko, Octave Nathaniel Nana Nbendjo, Blaise Roméo Dorka, Uwe doi:10.1007/s00419-021-02038-5 Chaotisches System Nichtlineares System Hamiltonsches System publishedVersion eissn:1432-0681 Issue 12 Archive of Applied Mechanics 4621-4630 Volume 91 false
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