Modeling and Simulation of Non-Linear and Hysteresis Behavior of Magneto-Rheological Dampers in the Example of Quarter-Car Model

Sulaymon L. Eshkabilov

doi:doi:10.11648/j.ijtam.20160202.32

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Modeling and Simulation of Non-Linear and Hysteresis Behavior of Magneto-Rheological Dampers in the Example of Quarter-Car Model

Sulaymon L. Eshkabilov

Published in International Journal of Theoretical and Applied Mathematics (Volume 2, Issue 2)

Received: 13 November 2016 Accepted: 2 December 2016 Published: 23 January 2017

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Abstract

This paper presents reviews of mathematical formulations and numerical simulation models of non-linear and dynamic hysteresis behaviors of magneto-rheological liquid dampers, viz. Bingham, Dahl, LuGre and Bouc-Wen models, developed in MATLAB®/Simulink® in the example of quarter-car model with the Golden Car parameters. It demonstrates numerical simulations of the magneto-rheological liquid damper models with different sets of parameters and discusses simulation results and performances of these four models for different road profile excitation signals, such as Heaviside step function, sine wave, random noise and white Gaussian noise.

Published in	International Journal of Theoretical and Applied Mathematics (Volume 2, Issue 2)
DOI	10.11648/j.ijtam.20160202.32
Page(s)	170-189
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Suspension, Bingham, Dahl, LuGre, Bouc-Wen, MATLAB/Simulink

References

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APA Style

Sulaymon L. Eshkabilov. (2017). Modeling and Simulation of Non-Linear and Hysteresis Behavior of Magneto-Rheological Dampers in the Example of Quarter-Car Model. International Journal of Theoretical and Applied Mathematics, 2(2), 170-189. https://doi.org/10.11648/j.ijtam.20160202.32

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ACS Style

Sulaymon L. Eshkabilov. Modeling and Simulation of Non-Linear and Hysteresis Behavior of Magneto-Rheological Dampers in the Example of Quarter-Car Model. Int. J. Theor. Appl. Math. 2017, 2(2), 170-189. doi: 10.11648/j.ijtam.20160202.32

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AMA Style

Sulaymon L. Eshkabilov. Modeling and Simulation of Non-Linear and Hysteresis Behavior of Magneto-Rheological Dampers in the Example of Quarter-Car Model. Int J Theor Appl Math. 2017;2(2):170-189. doi: 10.11648/j.ijtam.20160202.32

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@article{10.11648/j.ijtam.20160202.32,
  author = {Sulaymon L. Eshkabilov},
  title = {Modeling and Simulation of Non-Linear and Hysteresis Behavior of Magneto-Rheological Dampers in the Example of Quarter-Car Model},
  journal = {International Journal of Theoretical and Applied Mathematics},
  volume = {2},
  number = {2},
  pages = {170-189},
  doi = {10.11648/j.ijtam.20160202.32},
  url = {https://doi.org/10.11648/j.ijtam.20160202.32},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20160202.32},
  abstract = {This paper presents reviews of mathematical formulations and numerical simulation models of non-linear and dynamic hysteresis behaviors of magneto-rheological liquid dampers, viz. Bingham, Dahl, LuGre and Bouc-Wen models, developed in MATLAB®/Simulink® in the example of quarter-car model with the Golden Car parameters. It demonstrates numerical simulations of the magneto-rheological liquid damper models with different sets of parameters and discusses simulation results and performances of these four models for different road profile excitation signals, such as Heaviside step function, sine wave, random noise and white Gaussian noise.},
 year = {2017}
}

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TY  - JOUR
T1  - Modeling and Simulation of Non-Linear and Hysteresis Behavior of Magneto-Rheological Dampers in the Example of Quarter-Car Model
AU  - Sulaymon L. Eshkabilov
Y1  - 2017/01/23
PY  - 2017
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DO  - 10.11648/j.ijtam.20160202.32
T2  - International Journal of Theoretical and Applied Mathematics
JF  - International Journal of Theoretical and Applied Mathematics
JO  - International Journal of Theoretical and Applied Mathematics
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EP  - 189
PB  - Science Publishing Group
SN  - 2575-5080
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AB  - This paper presents reviews of mathematical formulations and numerical simulation models of non-linear and dynamic hysteresis behaviors of magneto-rheological liquid dampers, viz. Bingham, Dahl, LuGre and Bouc-Wen models, developed in MATLAB®/Simulink® in the example of quarter-car model with the Golden Car parameters. It demonstrates numerical simulations of the magneto-rheological liquid damper models with different sets of parameters and discusses simulation results and performances of these four models for different road profile excitation signals, such as Heaviside step function, sine wave, random noise and white Gaussian noise.
VL  - 2
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Author Information

Sulaymon L. Eshkabilov

Dynamics & Control Lab, Tashkent Institute of Automotive Road Design, Construction and Maintenance, Tashkent, Uzbekistan

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APA Style

Sulaymon L. Eshkabilov. (2017). Modeling and Simulation of Non-Linear and Hysteresis Behavior of Magneto-Rheological Dampers in the Example of Quarter-Car Model. International Journal of Theoretical and Applied Mathematics, 2(2), 170-189. https://doi.org/10.11648/j.ijtam.20160202.32

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ACS Style

Sulaymon L. Eshkabilov. Modeling and Simulation of Non-Linear and Hysteresis Behavior of Magneto-Rheological Dampers in the Example of Quarter-Car Model. Int. J. Theor. Appl. Math. 2017, 2(2), 170-189. doi: 10.11648/j.ijtam.20160202.32

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AMA Style

Sulaymon L. Eshkabilov. Modeling and Simulation of Non-Linear and Hysteresis Behavior of Magneto-Rheological Dampers in the Example of Quarter-Car Model. Int J Theor Appl Math. 2017;2(2):170-189. doi: 10.11648/j.ijtam.20160202.32

Copy | Download

@article{10.11648/j.ijtam.20160202.32,
  author = {Sulaymon L. Eshkabilov},
  title = {Modeling and Simulation of Non-Linear and Hysteresis Behavior of Magneto-Rheological Dampers in the Example of Quarter-Car Model},
  journal = {International Journal of Theoretical and Applied Mathematics},
  volume = {2},
  number = {2},
  pages = {170-189},
  doi = {10.11648/j.ijtam.20160202.32},
  url = {https://doi.org/10.11648/j.ijtam.20160202.32},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20160202.32},
  abstract = {This paper presents reviews of mathematical formulations and numerical simulation models of non-linear and dynamic hysteresis behaviors of magneto-rheological liquid dampers, viz. Bingham, Dahl, LuGre and Bouc-Wen models, developed in MATLAB®/Simulink® in the example of quarter-car model with the Golden Car parameters. It demonstrates numerical simulations of the magneto-rheological liquid damper models with different sets of parameters and discusses simulation results and performances of these four models for different road profile excitation signals, such as Heaviside step function, sine wave, random noise and white Gaussian noise.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Modeling and Simulation of Non-Linear and Hysteresis Behavior of Magneto-Rheological Dampers in the Example of Quarter-Car Model
AU  - Sulaymon L. Eshkabilov
Y1  - 2017/01/23
PY  - 2017
N1  - https://doi.org/10.11648/j.ijtam.20160202.32
DO  - 10.11648/j.ijtam.20160202.32
T2  - International Journal of Theoretical and Applied Mathematics
JF  - International Journal of Theoretical and Applied Mathematics
JO  - International Journal of Theoretical and Applied Mathematics
SP  - 170
EP  - 189
PB  - Science Publishing Group
SN  - 2575-5080
UR  - https://doi.org/10.11648/j.ijtam.20160202.32
AB  - This paper presents reviews of mathematical formulations and numerical simulation models of non-linear and dynamic hysteresis behaviors of magneto-rheological liquid dampers, viz. Bingham, Dahl, LuGre and Bouc-Wen models, developed in MATLAB®/Simulink® in the example of quarter-car model with the Golden Car parameters. It demonstrates numerical simulations of the magneto-rheological liquid damper models with different sets of parameters and discusses simulation results and performances of these four models for different road profile excitation signals, such as Heaviside step function, sine wave, random noise and white Gaussian noise.
VL  - 2
IS  - 2
ER  -

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