PsD Testing Quality Control

Transcription

1 COMMISSION OF THE EUROPEAN COMMUNITIES FP7- INFRASTRUCTURES SP4-Capacities SERIES SEISMIC ENGINEERING RESEARCH INFRASTRUCTURES FOR EUROPEAN SYNERGIES PsD Testing Quality Control ELSA Laboratory IPSC, Joint Research Centre (Ispra, I) European Commission

2 Error Energy

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4 SEISMIC ENGINEERING RESEARCH INFRASTRUCTURES FOR EUROPEAN SYNERGIES

5 SEISMIC ENGINEERING RESEARCH INFRASTRUCTURES FOR EUROPEAN SYNERGIES

6 SEISMIC ENGINEERING RESEARCH INFRASTRUCTURES FOR EUROPEAN SYNERGIES

7 Seminar on ELSA Control System for Pseudo-Dynamic Tests, November

8 SEISMIC ENGINEERING RESEARCH INFRASTRUCTURES FOR EUROPEAN SYNERGIES

9 SEISMIC ENGINEERING RESEARCH INFRASTRUCTURES FOR EUROPEAN SYNERGIES

10 SEISMIC ENGINEERING RESEARCH INFRASTRUCTURES FOR EUROPEAN SYNERGIES

11 SEISMIC ENGINEERING RESEARCH INFRASTRUCTURES FOR EUROPEAN SYNERGIES 11

12 Test set-up for SAFE project

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17 Seismic response of wall T12

18 Correlation between displacement amplitude and frequency of wall T12

19 Correlation between displacement amplitude and stiffness of walls T4 to T13

20 Elevation view of ICONS-ASR reinforced concrete bare frame

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24 displ. 4 level (mm) ASR BARE FRAME 475yrp 975yrp Repaired 475yrp Repaired 975yrp Repaired 2000yrp Ampl 475yrp Ampl 975yrp Ampl Repaired 475yrp Ampl Repaired 975yrp Ampl Repaired 2000yrp time (sec) 1st freq. (Hz) yrp 975yrp Repaired 475yrp Repaired 975yrp Repaired 2000yrp time (sec) 1st damp. ratio (%) time (sec) 475yrp 975yrp Repaired 475yrp Repaired 975yrp Repaired 2000yrp

25 ASR BARE FRAME Institute for the Protection and Security of the Citizen Ampl 475yrp av. displ. ampl. 4 level (mm) RSpec z=0.051 RSpec z=0.085 Ampl 975yrp RSpec z=0.068 RSpec z=0.113 Ampl Repaired 475yrp RSpec z=0.057 RSpec z=0.095 Ampl Repaired 975yrp RSpec z=0.076 RSpec z=0.127 Ampl Repaired 2000yrp RSpec z=0.097 RSpec z= st freq. (Hz) Fig. 1. Correlación desplazamiento-frecuencia en los ensayos sísmicos del pórtico.

26 30 ASR BARE FRAME Institute for the Protection and Security of the Citizen 475yrp yrp 1st damp. ratio (%) Repaired 475yrp Repaired 975yrp Repaired 2000yrp z=1.173*d av. displ. ampl. 4 level (mm) Fig. 1. Correlación amortiguamiento-desplazamiento en los ensayos sísmicos del pórtico.

27 Time history of top displacement at the two-storey composite frame Page 27

28 Evolution in time of the identified frequency and damping ratio for the first mode Page 28

29 Acceleration-Displacement Response Spectrum (ADRS) representation Page 29 Acceleration (mm/s 2 ) SWAYCOMP 2-storey frame

30 Definition of testing reliability PROTOTYPE SYSTEM EXPERIMENTAL SYSTEM = F{ it} o perf () t = F exp { i perf () t } ot () () Reliability perf o () t o() t? perf i () t i() t? F exp { } F{ }? exp exp ω ω? ; ζ ζ? (linear approximation)

31 Prototype system for a seismic problem Linear approximation: Md() t + r( d(), t d()) t = MJa g () t 2 Ms D() s + CsD() s + KD() s = MJAg () s D() s F() s A () s = g 1 F 2 ( s) = M s + C s+ K MJ s C M + K 0 φ φ= 0 M 0 0 M s s * 2 i, i = ωi( ζi ± j 1 ζi )

32 Pseudo-Dynamic Test PROTOTYPE SYSTEM [ ] R() s = Cs+ K D() s EXPERIMENTAL SYSTEM [ ] [ ] R perf meas perf perf perf perf () s = C s+ K D () s = C s+ K H () s D () s C s+ K D () s

33 Pseudo-Dynamic Test [ ] [ ] R perf meas perf perf perf perf () s = C s+ K D () s = C s+ K H () s D () s C s+ K D () s meas perf meas r () t = Cd () t + Kd () t Spatial Model perf perf perf perf perf r () t = C d () t + K d () t Least-Square C K Estimation perf C perf K s C M + K 0 φ φ= 0 M 0 0 M perf perf s C M K 0 φ+ φ= 0 M 0 0 M s s * 2 i, i = ωi( ζi ± j 1 ζi ) Reliable experiment? s s j exp exp* exp exp exp2 i, i = ωi ( ζi ± 1 ζi )

34 FLATSLAB FRAME TESTING SET-UP AT ELSA LABORATORY

35 EXAMPLE OF TYPICAL RESULTS: FLATSLAB FRAME Histories of displacements and forces at the floors and derived variables

36 EXAMPLE OF TYPICAL RESULTS: FLATSLAB FRAME Global checks of the discretisation error and the systematic control error by energy balance

37 EXAMPLE OF TYPICAL RESULTS: FLATSLAB FRAME Identification of the evolution of linearequivalent frequencies and damping ratios and check of the effect of systematic control errors at every mode

38 Pseudo-dynamic test of a 4-storey building with base isolation Experimental isolation system: Vertical load cell Actuator load cell Actuator Air cushion Displacement transducer Isolators Numerical superstructure:

39 Pseudo-dynamic test of a 4-storey building with base isolation

40 Pseudo-dynamic test of a 4-storey building with base isolation

41 PROTOTYPE SYSTEM Shaking-Table Test EXPERIMENTAL SYSTEM perf eff perf exp perf D () s = F() s A () s D () s = F () s A () s g g Filter Model Least-Squares Estimation s s * 2 i, i = ωi( ζi ± j 1 ζi ) Reliable experiment? s s j exp exp* exp exp exp2 i, i = ωi ( ζi ± 1 ζi )

42 Shaking-table test on SDoF steel frame

43 Performed translation Spurious rotation Shaking-table test on SDoF steel frame perf eff perf exp perf D () s = F() s A () s D () s = F () s A () s g Filter Model Least-Squares Estimation g ω = 2.5Hz ω exp = 2.5Hz ζ = ζ exp = 0.025

44 The shaking table response was acceptably reproduced by a PsD test based on the effective input given by the table (translation + rotation)

45 The shaking table response was not acceptably reproduced by a PsD test based only the translation input given by the table