Advertisement

A two degree of freedom stable quasi-zero stiffness prototype and its applications in aseismic engineering

  • 14 Accesses

Abstract

In this paper, an archetypal aseismic system is proposed with 2-degree of freedom based on a smooth and discontinuous (SD) oscillator to avoid the failure of electric power system under the complex excitation of seismic waves. This model comprises two vibration isolation units for the orthogonal horizontal directions, and each of them admits the stable quasi-zero stiffness (SQZS) with a pair of inclined linear elastic springs. The equation of motion is formulated by using Lagrange equation, and the SQZS condition is obtained by optimizing the parameters of the system. The analysis shows that the system behaves a remarkable vibration isolation performance with low resonant frequency and a large stroke of SQZS interval. The experimental investigations are carried out to show a high sonsistency with the theoretical results, which demonstrates the improvement of aseismic behavior of the proposed model under the seismic wave.

This is a preview of subscription content, log in to check access.

Access options

Buy single article

Instant unlimited access to the full article PDF.

US$ 39.95

Price includes VAT for USA

References

  1. 1

    Kramer S L. Geotechnical Earthquake Engineering. In: Prentice-Hall International Series in Civil Engineering and Engineering Mechanics. Upper Saddle River: Prentice-Hall, 1996. 653

  2. 2

    Gregori S D, Christiansen R. Seismic hazard analysis for central-western Argentina. Geodesy GeoDyn, 2018, 9: 25–33

  3. 3

    Main I. Earthquake hazard analysis: Issues and insights. Surv Geophys, 1992, 13: 297–298

  4. 4

    Sun Y H, Cheng Y F, Lu Z C, et al. Experimental research on seismic performance of UHV GIS porcelain bushing and composite bushing. High Voltage Eng, 2019, 45: 541–548

  5. 5

    Liu J, Liu A W, Sun J N, et al. Analysis on characteristics of the hazards of the 2015 Pishan MS 6.5 earthquake in Xinjiang. Earthquake Res China, 2017, 31: 116–124

  6. 6

    Fukahori Y, Kojima H, Ogino A, et al. Anti-seismic device. US Patent. 4, 899, 323. 1990-2-6

  7. 7

    Fukahori Y, Kojima H, Ogino A. Anti-seismic bearing. US Patent. 4, 978, 581. 1990-12-18

  8. 8

    Scozzese F, Dall’Asta A, Tubaldi E. Seismic risk sensitivity of structures equipped with anti-seismic devices with uncertain properties. Struct Saf, 2019, 77: 30–47

  9. 9

    Al Qablan H, Rababeh S, Katkhuda H, et al. On the use of wooden beams as an anti-seismic device in stone masonry in Qasr el-Bint, Petra, Jordan. J Building Eng, 2019, 21: 82–96

  10. 10

    Marini A, Belleri A, Preti M, et al. Lightweight extrados restraining elements for the anti-seismic retrofit of single leaf vaults. Eng Struct, 2017, 141: 543–554

  11. 11

    Guo Z G, Sun W M, Ni T Y, et al. Earthquake damage and anti-seismic behavior analysis of school buildings in Wenchuan earthquake. J Nanjing Univ Tech (Nat Sci Ed), 2009, 1: 010

  12. 12

    Cheng Y F, Zhu Q J, Lu Z C. Progress and development trend on seismic measures of electric power equipments in transformer substation. Power System Tech, 2008, 32: 84–89

  13. 13

    Zhu R M, Li D L, Qi L Z, et al. Earthquake disaster analysis and anti-seismic design for substations. Electric Power Construct, 2013, 4: 14–18

  14. 14

    Xie Q, Zhu R Y, Qu W J. Analysis on seismic failure mechanism of 500 kV high-power transformer during Wenchuan earthquake. Power System Tech, 2011, 35: 221–226

  15. 15

    Liu R S, Zhang M J, Liu Y, et al. Damage and failure study of sichuan electric power grid in Wenchuan earthquake. J Basic Sci Eng, 2010, 18: 200–211

  16. 16

    Zhang X H, Wu G Y, Jiang W, et al. Effects of Wenchuan earthquake on Sichuan grid. Modern Electric Power, 2009, 26: 4–9

  17. 17

    You H B, Zhao F X. M7.0 earthquake in Lushan and damage cause analysis of power facilities. Electric Power Construct, 2013, 34: 100–104

  18. 18

    Liu R S, Liu J L, Yan D Q, et al. Seismic damage investigation and analysis of electric power system in Lushan MS 7.0 earthquake. J Natural Disasters, 2013, 22: 83–90

  19. 19

    Huang X T. The Near-field Strong Ground Motion Characteristics of Lushan Earthquake. Dissertation for Dcotoral Degree. Institute of Engineering Mechanics, China Earthquake Administration, 2014

  20. 20

    Alabuzhev P, Gritchin A. Vibration Protection and Measuring Systems with Quasi-zero Stiffness. New York: Hemisphere Publishing Corporation, 1989

  21. 21

    Zhang J Z, Li D, Chen M J, et al. An ultra-low frequency parallel connection nonlinear isolator for precision instruments. Key Eng Mater, 2004, 257–258: 231–238

  22. 22

    Winterflood J, Blair D G, Slagmolen B. High performance vibration isolation using springs in Euler column buckling mode. Phys Lett A, 2002, 300: 122–130

  23. 23

    Plaut R H, Sidbury J E, Virgin L N. Analysis of buckled and pre-bent fixed-end columns used as vibration isolators. J Sound Vib, 2005, 283: 1216–1228

  24. 24

    Liu X, Huang X, Hua H. On the characteristics of a quasi-zero stiffness isolator using Euler buckled beam as negative stiffness corrector. J Sound Vib, 2013, 332: 3359–3376

  25. 25

    Santillan S, Virgin L N, Plaut R H. Equilibria and vibration of a heavy pinched loop. J Sound Vib, 2005, 288: 81–90

  26. 26

    Virgin L N, Santillan S T, Plaut R H. Vibration isolation using extreme geometric nonlinearity. J Sound Vib, 2008, 315: 721–731

  27. 27

    Zhou N, Liu K. A tunable high-static-low-dynamic stiffness vibration isolator. J Sound Vib, 2010, 329: 1254–1273

  28. 28

    Robertson W S, Kidner M R F, Cazzolato B S, et al. Theoretical design parameters for a quasi-zero stiffness magnetic spring for vibration isolation. J Sound Vib, 2009, 326: 88–103

  29. 29

    Xu D, Yu Q, Zhou J, et al. Theoretical and experimental analyses of a nonlinear magnetic vibration isolator with quasi-zero-stiffness characteristic. J Sound Vib, 2013, 332: 3377–3389

  30. 30

    Zhou J, Wang X, Xu D, et al. Nonlinear dynamic characteristics of a quasi-zero stiffness vibration isolator with cam-roller-spring mechanisms. J Sound Vib, 2015, 346: 53–69

  31. 31

    Zhao J X, Yu X, Chai K, et al. Attractor migration control of a vibration isolation system with quasi zero stiffness. J Vib Shock, 2018, 37: 220–224

  32. 32

    Carrella A, Brennan M J, Waters T P. Optimization of a quasi-zero-stiffness isolator. J Mech Sci Technol, 2007, 21: 946–949

  33. 33

    Yu J Y. Characteristics Analysis and Experimental Research on Quasi-Zero-Stiffness Vibration Isolation System Based on SD Oscillator. Dissertation for Dcotoral Degree. Shijiazhuang: Shijiazhuang Tiedao University, 2018

  34. 34

    Cao Q, Wiercigroch M, Pavlovskaia E E, et al. Archetypal oscillator for smooth and discontinuous dynamics. Phys Rev E, 2006, 74: 046218

  35. 35

    Cao Q, Wiercigroch M, Pavlovskaia E E, et al. Piecewise linear approach to an archetypal oscillator for smooth and discontinuous dynamics. Philos Trans R Soc A-Math Phys Eng Sci, 2008, 366: 635–652

  36. 36

    Yue X L, Xu W, Wang L. Stochastic bifurcations in the SD (smooth and discontinuous) oscillator under bounded noise excitation. Sci China-Phys Mech Astron, 2013, 56: 1010–1016

  37. 37

    Yang J, Xiong Y P, Xing J T. Power flow behaviour and dynamic performance of a nonlinear vibration absorber coupled to a nonlinear oscillator. Nonlinear Dyn, 2015, 80: 1063–1079

  38. 38

    Chen H, Xie J. Harmonic and subharmonic solutions of the SD oscillator. Nonlinear Dyn, 2016, 84: 2477–2486

  39. 39

    Santhosh B, Padmanabhan C, Narayanan S. Numeric-analytic solutions of the smooth and discontinuous oscillator. Int J Mech Sci, 2014, 84: 102–119

  40. 40

    Xing J T. Energy Flow Theory of Nonlinear Dynamical Systems with Applications. Springer International Publishing, 2015

  41. 41

    Cao Q J, Leger A, Wiercigroch M. A Smooth and Discontinuous Oscillator. Springer Tracts in Mechanical Engineering, 2016

  42. 42

    Hao Z, Cao Q. The isolation characteristics of an archetypal dynamical model with stable-quasi-zero-stiffness. J Sound Vib, 2015, 340: 61–79

  43. 43

    Carrella A, Brennan M J, Waters T P. Static analysis of a passive vibration isolator with quasi-zero-stiffness characteristic. J Sound Vib, 2007, 301: 678–689

  44. 44

    Kovacic I, Brennan M J, Waters T P. A study of a nonlinear vibration isolator with a quasi-zero stiffness characteristic. J Sound Vib, 2008, 315: 700–711

  45. 45

    Sun X, Xu J, Jing X, et al. Beneficial performance of a quasi-zero-stiffness vibration isolator with time-delayed active control. Int J Mech Sci, 2014, 82: 32–40

  46. 46

    Zhu G N. Anti-Seismic and Vibration Isolation Study on A Nonlinear System with Quasi-Zero Stiffness. Dissertation for Dcotoral Degree. Harbin: Harbin Institute of Technology, 2017

Download references

Author information

Correspondence to QingJie Cao.

Additional information

The first three authors acknowledge the financial support from the National Natural Science Foundation of China (Grant Nos. 11572096, 11732006).

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Zhu, G., Liu, J., Cao, Q. et al. A two degree of freedom stable quasi-zero stiffness prototype and its applications in aseismic engineering. Sci. China Technol. Sci. (2020) doi:10.1007/s11431-018-9524-2

Download citation

Keywords

  • SD oscillator
  • two-DOF vibration isolation
  • stable quasi-zero stiffness
  • low-frequency vibration isolation
  • aseismic experiment