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Modeling and experimental tests of hydraulic electric inerter

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Abstract

As a newly proposed two-terminal mechanical element, there are many realizations of inerter such as ball-screw, rack and pinion, hydraulic, fluid and mechatronic inerter. This paper concerns about a novel mechatronic inerter, which is consisted of a hydraulic piston inerter and linear motor, called hydraulic electric inerter (HEI). Firstly, the structural components and the working principles of two types HEI device are introduced, and the dynamic model of the HEI is established. Then, three classifications of mechatronic inerter, namely, the single motor type, the linear inerter-motor type and the rotary inerter-motor type are presented, and in the meanwhile, some comparisons among the three types mechatronic inerter are analyzed. Subsequently, a methodology of designing and experimental tests of the HEI device is proposed by considering the rated working conditions of the linear motor and the electric elements. At last, the HEI device is conducted, and the force tests of the non-loaded HEI and loaded HEI are tested in order to validate their properties. The experimental results are analyzed, and the discrepancies are also further discussed.

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References

  1. Smith M C. Synthesis of mechanical networks: The inerter. IEEE Trans Automat Contr, 2002, 47: 1648–1662

    Article  MathSciNet  Google Scholar 

  2. Chen M Z Q, Hu Y, Wang F C. Passive mechanical control with a special class of positive real controllers: application to passive vehicle suspensions. J Dyn Sys Meas Control, 2015, 137: 121013

    Article  Google Scholar 

  3. Jiang J Z, Smith M C. Regular positive-real functions and five-element network synthesis for electrical and mechanical networks. IEEE Trans Automat Contr, 2011, 56: 1275–1290

    Article  MathSciNet  Google Scholar 

  4. Zhang S Y, Jiang J Z, Wang H L, et al. Synthesis of essential-regular bicubic impedances. Int J Circ Theor Appl, 2017, 45: 1482–1496

    Article  Google Scholar 

  5. Chen M Z Q, Wang K, Yin M, et al. Synthesis of n-port resistive networks containing 2n terminals. Int J Circ Theor Appl, 2015, 43: 427–437

    Article  Google Scholar 

  6. Wang K, Chen M Z Q, Hu Y. Synthesis of biquadratic impedances with at most four passive elements. J Franklin Institute, 2014, 351: 1251–1267

    Article  Google Scholar 

  7. Shen Y, Liu Y, Chen L, et al. Optimal design and experimental research of vehicle suspension based on a hydraulic electric inerter. Mechatronics, 2019, 61: 12–19

    Article  Google Scholar 

  8. Jiang J Z, Smith M C. Series-parallel six-element synthesis of biquadratic impedances. IEEE Trans Circuits Syst I, 2012, 59: 2543–2554

    Article  MathSciNet  Google Scholar 

  9. Smith M C, Wang F C. Performance benefits in passive vehicle suspensions employing inerters. Vehicle Syst Dyn, 2004, 42: 235–257

    Article  Google Scholar 

  10. Shen Y J, Chen L, Liu Y L, et al. Improvement of the lateral stability of vehicle suspension incorporating inerter. Sci China Tech Sci, 2018, 61: 1244–1252

    Article  Google Scholar 

  11. Hu Y, Chen M Z Q, Sun Y. Comfort-oriented vehicle suspension design with skyhook inerter configuration. J Sound Vib, 2017, 405: 34–47

    Article  Google Scholar 

  12. Shen Y, Chen L, Yang X, et al. Improved design of dynamic vibration absorber by using the inerter and its application in vehicle suspension. J Sound Vib, 2016, 361: 148–158

    Article  Google Scholar 

  13. Sun X Q, Chen L, Wang S H, et al. Performance investigation of vehicle suspension system with nonlinear ball-screw inerter. Int J Automot Technol, 2016, 17: 399–408

    Article  Google Scholar 

  14. Wang F C, Hong M F, Chen C W. Building suspensions with inerters. Proc Institution Mech Engineers Part C-J Mech Eng Sci, 2010, 224: 1605–1616

    Article  Google Scholar 

  15. Lazar I F, Neild S A, Wagg D J. Using an inerter-based device for structural vibration suppression. Earthquake Engng Struct Dyn, 2014, 43: 1129–1147

    Article  Google Scholar 

  16. Zhang S Y, Jiang J Z, Neild S. Optimal configurations for a linear vibration suppression device in a multi-storey building. Struct Control Health Monit, 2017, 24: e1887

    Article  Google Scholar 

  17. Giaralis A, Petrini F. Wind-induced vibration mitigation in tall buildings using the tuned mass-damper-inerter. J Struct Eng, 2017, 143: 04017127

    Article  Google Scholar 

  18. Dong X, Liu Y, Chen M Z Q. Application of inerter to aircraft landing gear suspension. In: Proceedings of the 2015 34th Chinese Control Conference (CCC). Hangzhou, 2015. 2066–2071

  19. Li Y, Jiang J Z, Neild S. Inerter-based configurations for main-landing-gear shimmy suppression. J Aircraft, 2016, 54: 684–693

    Article  Google Scholar 

  20. Papageorgiou C, Smith M C. Laboratory experimental testing of inerters. In: Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference. 2005. 3351–3356

  21. Papageorgiou C, Houghton N E, Smith M C. Experimental testing and analysis of inerter devices. J Dyn Sys Meas Control, 2009, 131: 011001

    Article  Google Scholar 

  22. Wang F C, Hong M F, Lin T C. Designing and testing a hydraulic inerter. Proc Institution Mech Engineers Part C-J Mech Eng Sci, 2011, 225: 66–72

    Article  Google Scholar 

  23. Swift S J, Smith M C, Glover A R, et al. Design and modelling of a fluid inerter. Int J Control, 2013, 86: 2035–2051

    Article  MathSciNet  Google Scholar 

  24. Liu X, Jiang J Z, Titurus B, et al. Model identification methodology for fluid-based inerters. Mech Syst Signal Processing, 2018, 106: 479–494

    Article  Google Scholar 

  25. Shen Y, Chen L, Liu Y L, et al. Modeling and optimization of vehicle suspension employing a nonlinear fluid inerter. Shock Vib, 2016, 2016: 2623017

    Google Scholar 

  26. Wang F C, Chan H A. Vehicle suspensions with a mechatronic network strut. Vehicle Syst Dyn, 2011, 49: 811–830

    Article  Google Scholar 

  27. Shi D, Chen L, Wang R, et al. Design and experiment study of a semi-active energy-regenerative suspension system. Smart Mater Struct, 2015, 24: 015001

    Article  Google Scholar 

  28. Amati N, Festini A, Tonoli A. Design of electromagnetic shock absorbers for automotive suspensions. Vehicle Syst Dyn, 2011, 49: 1913–1928

    Article  Google Scholar 

  29. Chen L, Zhang X L, Nie J M, et al. A hydraulic piston inerter device. China Patent. CN201010510953.4, 2010

  30. Yang X F, Shen Y J, Yang J, et al. A hydraulic-electric impedance control device of vehicle suspension system. China Patent. CN201520074528.3, 2015

  31. Gonzalez-Buelga A, Clare L R, Neild S A, et al. An electromagnetic inerter-based vibration suppression device. Smart Mater Struct, 2015, 24: 055015

    Article  Google Scholar 

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Authors and Affiliations

  1. Research Institute of Automotive Engineering, Jiangsu University, Zhenjiang, 212013, China

    YuJie Shen, Long Chen, YanLing Liu & XiaoFeng Yang

  2. Jiangsu key Laboratory of Traffic and Transportation Security, Huaiyin Institute of Technology, Huaian, 223003, China

    DeHua Shi

Authors
  1. YuJie Shen
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  2. DeHua Shi
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  3. Long Chen
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  4. YanLing Liu
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  5. XiaoFeng Yang
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Correspondence to YuJie Shen.

Additional information

This work was supported by the China Postdoctoral Science Foundation (Grant No. 2019M651723), the National Natural Science Foundation of China (Grant No. 51 705209), the Natural Science Foundation of Jiangsu Province (Grant No. BK20160533) and the Foundation for Jiangsu Key Laboratory of Traffic and Transportation Security (Grant No. TTS2018-01).

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Shen, Y., Shi, D., Chen, L. et al. Modeling and experimental tests of hydraulic electric inerter. Sci. China Technol. Sci. 62, 2161–2169 (2019). https://doi.org/10.1007/s11431-019-9546-y

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  • DOI: https://doi.org/10.1007/s11431-019-9546-y

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