Skip to main content
Log in

Seismic isolator test rig control using high-fidelity non-linear dynamic system modelling

  • Published:
Meccanica Aims and scope Submit manuscript

Abstract

This paper concerns the modelling and the control design of a hydraulic actuator employed to carry out shear tests on seismic isolators. The testing machine requires a controller that can ensure the tracking of the target displacement in presence of the unknown restoring force of the isolation devices. To this aim, a model inversion based control, coupled with a feedback contribution, has been designed and implemented. A non-linear model has been derived and adopted for the feedforward synthesis through the inverse dynamics resolution. As a consequence, the feedback control has the function to compensate for the tracking error due to model uncertainties and the unknown isolator reaction force. The choice of a mixed approach allows to design a control action that results minimally invasive on the stability characteristics: it is possible to obtain good tracking results without the increasing of the feedback control gain.

The effectiveness of the designed control has been firstly evaluated by means of simulations and, successively, executing experimental tests on the test rig with and without the specimen under test.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17

Similar content being viewed by others

References

  1. Skinner RI, Robinson WH, McVerry GH (1993) An introduction to seismic isolation. Wiley, Chichester

    Google Scholar 

  2. Naeim F, Kelly JM (1999) Design of seismic isolated structures: from theory to practice. Wiley, Chichester

    Book  Google Scholar 

  3. Yoshioka H, Ramallo JC, Spencer BF Jr (2002) “Smart” base isolation strategies employing magnetorheological dampers. J Eng Mech 128(11):540–551

    Article  Google Scholar 

  4. Farshidianfar A, Saghafi A, Kalami SM, Saghafi I (2012) Active vibration isolation of machinery and sensitive equipment using H control criterion and particle swarm optimization method. Meccanica 47(2):437–453

    Article  Google Scholar 

  5. Hwang JS, Wu JD, Pan TC, Yang G (2002) A mathematical hysteretic model for elastomeric isolation bearings. Earthq Eng Struct Dyn 31:771–789

    Article  Google Scholar 

  6. Xilin L, Qiang Z (2002) Dynamic analysis method of a combined energy dissipation system and its experimental verification. Earthq Eng Struct Dyn 31:1251–1265

    Article  Google Scholar 

  7. Di Massa G, Pagano S, Rocca E, Strano S (2013) Sensitive equipments on WRS-BTU isolators. Meccanica. doi:10.1007/s11012-013-9708-9

    MATH  Google Scholar 

  8. Merritt HE (1967) Hydraulic control systems. Wiley, New York

    Google Scholar 

  9. Márton L, Fodor S, Sepehri N (2011) A practical method for friction identification in hydraulic actuators. Mechatronics 21:350–356

    Article  Google Scholar 

  10. Cardone M, Strano S (2012) Fluid-dynamic analysis of earthquake shaking table hydraulic circuit (ESDA2012-82422). In: Proc of the ASME 11th biennial conference on engineering systems design and analysis (ESDA2012), Nantes, France, vol 2, pp 343–350

    Google Scholar 

  11. Sirouspour MR, Salcudean SE (2000) On the nonlinear control of hydraulic servosystems. In: Proceedings of ICRA 2000, IEEE international conference on robotics and automation, San Francisco, CA, vol 2, pp 1276–1282

    Google Scholar 

  12. Kalyoncu M, Mustafa H (2009) Mathematical modelling and fuzzy logic based position control of an electrohydraulic servosystem with internal leakage. Mechatronics 19:847–858

    Article  Google Scholar 

  13. Kuehn J, Epp D, Patten WN (1999) High-fidelity control of a seismic shake table. Earthq Eng Struct Dyn 28:1235–1254

    Article  Google Scholar 

  14. Blondet M, Esparza C (1988) Analysis of shaking table-structure interaction effects during seismic simulation tests. Earthq Eng Struct Dyn 26:759–777

    Google Scholar 

  15. Strano S, Terzo M (2013) A first order model based control of a hydraulic seismic isolator test rig. Eng Lett 21(2):52–60

    Article  Google Scholar 

  16. Pagano S, Russo R, Strano S, Terzo M (2013) Non-linear modelling and optimal control of a hydraulically actuated seismic isolator test rig. Mech Syst Signal Process 35(1–2):255–278

    Article  ADS  Google Scholar 

  17. Pagano S, Russo R, Strano S, Terzo M (2012) Modelling and control of a hydraulically actuated shaking table employed for vibration absorber testing (ESDA2012-82118). In: Proc of the ASME 11th biennial conference on engineering systems design and analysis (ESDA2012), Nantes, France, vol 1, pp 651–660

    Google Scholar 

  18. Bonchis A, Corke P, Rye D (1999) A pressure-based, velocity independent, friction model for asymmetric hydraulic cylinders. In: Proc IEEE international conference on robotics and automation, Detroit, MI, vol 3, pp 1746–1751

    Google Scholar 

  19. Tao G, Kokotovic PV (1996) Adaptive control of systems with actuator and sensor nonlinearities. Wiley, New York

    MATH  Google Scholar 

  20. Bouc R (1967) Forced vibration of mechanical systems with hysteresis. In: Proceedings of the fourth conference on nonlinear oscillation, Prague, Czechoslovakia, pp 315–321

    Google Scholar 

  21. Wen YK (1976) Method for random vibration of hysteretic systems. J Eng Mech Div 102(2):249–263

    Google Scholar 

  22. Brancati R, Strano S, Timpone F (2011) An analytical model of dissipated viscous and hysteretic energy due to interaction forces in a pneumatic tire: theory and experiments. Mech Syst Signal Process 25(7):2785–2795

    Article  ADS  Google Scholar 

  23. Technical Standards for Constructions (NTC 2008: G.U. 29, 04.02.2008)

  24. Dolce M, Cardone D (2006) Theoretical and experimental studies for the application of shape memory alloys in civil engineering. J Eng Mater Technol 128(3):302–311

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Salvatore Strano.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pagano, S., Russo, M., Strano, S. et al. Seismic isolator test rig control using high-fidelity non-linear dynamic system modelling. Meccanica 49, 169–179 (2014). https://doi.org/10.1007/s11012-013-9783-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11012-013-9783-y

Keywords

Navigation