A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Advanced Search
Volume 3 Issue 3
Jul.  2016

IEEE/CAA Journal of Automatica Sinica

  • JCR Impact Factor: 15.3, Top 1 (SCI Q1)
    CiteScore: 23.5, Top 2% (Q1)
    Google Scholar h5-index: 77， TOP 5
Turn off MathJax
Article Contents
Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2016  >  3(3): 288-294
Bingsan Chen, Chunyu Li, Benjamin Wilson and Yijian Huang, "Fractional Modeling and Analysis of Coupled MR Damping System," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 3, pp. 288-294, 2016.
Citation: Bingsan Chen, Chunyu Li, Benjamin Wilson and Yijian Huang, "Fractional Modeling and Analysis of Coupled MR Damping System," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 3, pp. 288-294, 2016.
shu

Fractional Modeling and Analysis of Coupled MR Damping System

  • 1. School of Mechanical and Automotive Engineering, Fujian University of Technology, Fuzhou 350118, China;

  • 2. Department of Chemical and Biological Engineering, University of Wisconsin, Madison, WI 53705, USA

Funds:

This work was supported by National Natural Science Foundation of China (51305079), Natural Science Foundation of Fijian Province (2015J01180), Outstanding Young Talent Support Program of Fijian Provincial Education Department (JA14208, JA14216), and the China Scholarship Council.

    Abstract
  • The coupled magnetorheological (MR) damping system addressed in this paper contains rubber spring and magnetorheological damper. The device inherits the damping merits of both the rubber spring and the magnetorheological damper. Here a fractional-order constitutive equation is introduced to study the viscoelasticity of the combined damper. An introduction to the definitions of fractional calculus, and the transfer function representation of a fractional-order system are given. The fractional-order system model of a magnetorheological vibration platform is set up using fractional calculus, and the function of displacement is presented. It is indicated that the fractional-order constitutive equation and the transfer function are feasible and effective means for investigating of magnetorheological vibration device.

     

    • FullText(HTML)
  • loading
    • References(14)
  • [1]
    Stanway R, Sproston J L, Stevens N G. Non-linear modelling of an electro-rheological vibration damper. Journal of Electrostatics, 1987, 20(2): 167-184
    [2]
    Spencer B F Jr, Dyke S J, Sain M K, Carlson J D. Phenomenological model for magnetorheological damper. Journal of Engineering Mechanics, 1997, 123(3): 230-238
    [3]
    Zhou Qiang, Qu Wei-Lian. Two mechanic models for magnetorheological damper and corresponding test verification. Earthquake Engineering and Engineering Vibration, 2002, 22(4): 144-150 (in Chinese)
    [4]
    Gamota D R, Filisko F E. Dynamic mechanical studies of electrorheological materials: moderate frequencies. Journal of Rheology, 1991, 35(3): 399-425
    [5]
    Slonimsky G L. Laws of mechanical relaxation processes in polymers. Journal of Polymer Science Part C: Polymer Symposia , 1967, 16(3): 1667-1672
    [6]
    Friedrich C. Relaxation and retardation functions of the maxwell model with fractional derivatives. Rheologica Acta, 1991, 30(2): 151-158
    [7]
    Bagley R L, Torvik P J. On the fractional calculus model of viscoelastic behavior. Journal of Rheology, 1986, 30(1): 133-155
    [8]
    Paggi M, Sapora A. An accurate thermoviscoelastic rheological model for ethylene vinyl acetate based on fractional calculus. International Journal of Photoenergy, 2015, 2015: Article ID 252740
    [9]
    Jóźwiak B, Orczykowska M, Dziubiński M. Fractional generalizations of maxwell and kelvin-voigt models for biopolymer characterization. PLoS One, 2015, 10(11): e0143090
    [10]
    Alcoutlabi M, Martinez-Vega J J. Application of fractional calculus to viscoelastic behaviour modelling and to the physical ageing phenomenon in glassy amorphous polymers. Polymer, 1998, 39(25): 6269-6277
    [11]
    Li Zhuo, Xu Bing-Ye. Equivalent viscous damping system for viscoelastic fractional derivative model. Journal of Tsinghua University (Science and Technology), 2000, 40(11): 27-29 (in Chinese)
    [12]
    Wang Zhen-Bin, Cao Guang-Yi, Zhu Xin-Jian. Application of fractional calculus in system modeling. Journal of Shanghai Jiaotong University, 2004, 38(5): 802-805 (in Chinese)
    [13]
    Wang Zhen-Bin, Cao Guang-Yi. Two system modeling methods using fractional calculus. Journal of System Simulation, 2004, 16(4): 810-812 (in Chinese)
    [14]
    Xue D Y, Chen Y Q. Solving Applied Mathematical Problems with Matlab. Boca Raton: CRC Press, 2008.
    • Related Articles
    • Supplements(0)

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML

    Article Metrics

    Article views (1261) PDF downloads(15) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return