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Parameter identification of the Bouc-Wen model for the magnetorheological damper using fireworks algorithm

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Abstract

To solve the problems of low identification accuracy and complex identification methods in the Bouc-Wen model of the magnetorheological (MR) damper, a new parameter identification method using the fireworks algorithm (FWA) is proposed. According to the experimental results of the dynamic characteristics of the MR damper and the simulation data of the Bouc-Wen model, the FWA is used to identify the seven parameters of the Bouc-Wen model. On the basis of the relationship between the identification results and the command current, the current-controlled Bouc-Wen model (I-Bouc-Wen model) is constructed and compared with the experimental results under different sinusoidal excitation frequencies. Compared with the genetic algorithm (GA), differential evolution (DE) algorithm, and particle swarm optimization (PSO) algorithm, the FWA has the advantage of faster convergence, shorter calculation time, and higher stability in solving the parameter identification problem of the highly nonlinear hysteretic model. Under three harmonic excitations, the average calculation accuracies of the I-Bouc-Wen model reache 88.64 %, 90.45 %, and 81.28 %, respectively, and the dynamic characteristic curve of the model is in basic agreement with the experimental results. It can be used for the subsequent controller design and simulation research and lay a foundation for applying the parameterized model of the MR damper in vibration reduction control.

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Abbreviations

F :

Damping force

c 0 :

Damping coefficient of the MR fluid

k 0 :

Stiffness coefficient of the MR damper

x 0 :

Initial displacement of the damper

z :

Hysteresis variable

α :

The coefficient of z

γ :

Width fitting coefficient of the hysteretic model

β :

Height fitting coefficient of the hysteretic model

A :

Proportionality coefficient

x :

Displacement of the damper

ẋ :

Velocity of the damper

Θ:

The vector expression of the parameter to be identified

J :

Fitness value

F sim i :

Damping force value calculated by Bouc-Wen model simulation of the MR damper

F exp i :

Damping force value measured by the test

S i :

Quantity of sparks for each individual or firework

m :

Total quantity of sparks

δ :

Calculation accuracy of simulation model data

B :

Number of sparks for Gaussian mutation operation

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Acknowledgments

This research was supported by the National Key R&D Program of China (No. 2017YFD070020402), State Key Laboratory of Power System of Tractor of China (No. SKT202100X) and the Science and Technology Project in Henan province of China (No. 212102210328).

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Authors and Affiliations

  1. College of Vehicle and Traffic Engineering, Henan University of Science and Technology, Luoyang, 471003, China

    Xiaoliang Chen, Liyou Xu, Shuai Zhang, Sixia Zhao & Kui Liu

  2. School of Vehicle and Traffic Engineering, Henan Institute of Technology, Xinxiang, 453000, China

    Xiaoliang Chen

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Corresponding author

Correspondence to Liyou Xu.

Additional information

Xiaoliang Chen is a Doctor of the College of Vehicle and Traffic Engineering, Henan University of Science and Technology, Luoyang, China. His research interests include vehicle vibration control and system model parameter identification.

Liyou Xu is a Professor of the College of Vehicle and Traffic Engineering, Henan University of Science and Technology, Luoyang, China. He received his Ph.D. in Vehicle Engineering from Xi’an University of Technology. His research interests include new transmission theory and control technology, vehicle performance analysis method and simulation technology, and low-speed electric vehicle transmission technology.

Shuai Zhang is a Lecturer of the College of Vehicle and Traffic Engineering, Henan University of Science and Technology, Luoyang, China. He received his Ph.D. in Vehicle Engineering from Jilin University. His research interests include research and innovation of automobile structure design theory and key technology.

Sixia Zhao is a Doctor of the College of Vehicle and Traffic Engineering, Henan University of Science and Technology, Luoyang, China. His major is vehicle engineering. His research interests include combining harvester fault diagnosis and intelligent algorithms.

Kui Liu is a Master student of the College of Vehicle and Traffic Engineering, Henan University of Science and Technology, Luoyang, China. His research interests include vehicle vibration and intelligent control.

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Chen, X., Xu, L., Zhang, S. et al. Parameter identification of the Bouc-Wen model for the magnetorheological damper using fireworks algorithm. J Mech Sci Technol 36, 2213–2224 (2022). https://doi.org/10.1007/s12206-022-0405-2

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  • DOI: https://doi.org/10.1007/s12206-022-0405-2

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