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On the appearance of horseshoe chaos in a nonlinear hysteretic systems with negative stiffness

Youtha Ngouoko, Octave Nathaniel
Nana Nbendjo, Blaise Roméo
Dorka, Uwe

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.

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Gefördert im Rahmen des Projekts DEAL
Citation
In: Archive of Applied Mechanics Volume 91 / Issue 12 (2021-09-16) , S. 4621-4630; eissn:1432-0681
Collections
@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},
  keywords ={510 and 620 and Chaotisches System and Nichtlineares System and Hamiltonsches System},
  copyright  ={http://creativecommons.org/licenses/by/4.0/},
  language ={en},
  journal  ={Archive of Applied Mechanics},
  year   ={2021-09-16}
}