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Magneto-rheological variable dam** and variable stiffness torsional vibration control of powertrain transmission

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Abstract

Torsional vibration is prevalent in rotating mechanical systems such as powertrain transmission. It is a hot spot in current torsional vibration control research to effectively suppress torsional vibration of the system by implementing adaptive torsional dampers with adjustable parameters. The current research focuses on the variable dam** torsional vibration absorber, while the investigation on variable stiffness torsional vibration absorber remains at the theoretical stage. With this premise, a transmission system with a novel magneto-rheological variable stiffness and dam** torsional vibration absorber (MR-VSDTVB) is proposed. MR-VSDTVB with sequential adjustment of torsional dam** and stiffness parameters is developed. Its aggregate dynamic output characteristics of stiffness and dam** are tested. To describe the nonlinear output characteristics with coupled multiple control parameters of MR-VSDTVB and the subsequent control, a GA-BP neural network model and a hierarchical inverse model are adopted. To validate the feasibility of the transmission system with MR-VSDTVB, a dynamic model of the transmission system with MR-VSDTVB is constructed and simplified, and then the numerical simulation analysis and experimental tests are carried out. The output performances of the MR semi-active system with various traditional semi-active control strategies show that the transmission system with the proposed MR-VSDTVB can suppress torsional vibration effectively.

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Abbreviations

C d :

Dam** coefficient of the linear MR damper

C s :

Dam** coefficient of the disc MR damper

f 1 :

Coulomb friction of the disc MR damper

C 1 :

Viscous dam** of the disc MR damper

f 2 :

Coulomb friction of the linear MR damper

C 2 :

Viscous dam** of the linear MR damper

K d1, K d2 :

Stiffness coefficient of spring

I c :

Current applied to the disc MR damper coil

I d :

Current applied to the linear MR damper coil

T e :

Excitation torque

J i :

Moment of inertia

K i :

Stiffness of the shaft

T d :

Controllable torque

T k, T c :

Controllable stiffness torque and dam** torque

T max :

Maximum output torque of MR-VSDTVB

T sky :

Output torque of skyhook controller

T slid :

Output torque of sliding mode controller

Θ 1 :

Deformation of the spring Kd1

Θ 1, Θ 2 :

Angular displacement of the primary flywheel and secondary flywheel

Θ 4 :

Angular displacement of the counterweight flywheel

μ :

Switching parameter

e :

Generalized error vector

K s :

Structural stiffness coefficients of MR-VSDTVB

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Acknowledgments

The authors disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was financially supported by the Key Scientific Research Projects of Henan Higher Education Institutions (No.23B410004) and the National Natural Science Foundation of People’s Republic of China (Project NO. 52075056). These supports are gratefully acknowledged.

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Authors and Affiliations

  1. School of Electrical and Mechanical Engineering, Xuchang University, Xuchang, China

    Wenfeng Li, **nfeng Ge & Manying Liang

  2. State Key Laboratory of Mechanic Transmission, Chongqing University, Chongqing, China

    **ong Deng

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Correspondence to Wenfeng Li.

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Wenfeng Li is a Lecturer at the School of Electrical and Mechanical Engineering, Xuchang University, China. He received his Ph.D. in Mechanical Engineering from Chongqing University in 2021, supervised by Professor **%20and%20variable%20stiffness%20torsional%20vibration%20control%20of%20powertrain%20transmission&author=Wenfeng%20Li%20et%20al&contentID=10.1007%2Fs12206-023-0705-1&copyright=The%20Korean%20Society%20of%20Mechanical%20Engineers%20and%20Springer-Verlag%20GmbH%20Germany%2C%20part%20of%20Springer%20Nature&publication=1738-494X&publicationDate=2023-08-02&publisherName=SpringerNature&orderBeanReset=true">Reprints and permissions

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Li, W., Ge, X., Liang, M. et al. Magneto-rheological variable dam** and variable stiffness torsional vibration control of powertrain transmission. J Mech Sci Technol 37, 3887–3900 (2023). https://doi.org/10.1007/s12206-023-0705-1

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  • DOI: https://doi.org/10.1007/s12206-023-0705-1

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