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Distributed Online Hybrid Test to Trace the Collapse of a Four-Story Steel Moment Frame. Tao Wang, IEM, China Andres Jacobsen, Kyoto University, Japan Maria Cortes-Delgado, University at Buffalo, USA Gilberto Mosqueda, University at Buffalo, USA. Outline.
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Distributed Online Hybrid Test to Trace the Collapse of a Four-Story Steel Moment Frame Tao Wang, IEM, China Andres Jacobsen, Kyoto University, Japan Maria Cortes-Delgado, University at Buffalo, USA Gilberto Mosqueda, University at Buffalo, USA
Outline • Distributed hybrid test framework (P2P) 2. Flexible test scheme and implementation 3. Specimen design and measure scheme 4. Test results
Substructure A Substructure C Displ. Displ. Force Force Force Force Displ. Displ. Substructure B Substructure D Concept of Hybrid Test System = Partner Partner = = Coordinator = Partner Partner
Analysis Substru. Test Substru. Coordinator R System Implementation … … R2 R2 R2 … d1 d2 dn d1 d2 dn d1 d2 dn d1 d2 dn R1 R1 R1
Two Challenges for System Realization (1) How to determine the boundary displacement? • Satisfy equilibrium and compatibility at boundary • Only use standard I/O, i.e., boundary force & displacement (2) How to avoid iteration for physical loading? • One physical loading in one time step • Compatibility with trial and error procedure
Quasi-Newton Procedure Procedures of Quasi-Newton Method: 1. Equilibrium equation: 2. BFGS iteration:
Analysis Substru. Test Substru. Coordinator f f Force d d d d B B Fn+1 Fn+1 Predicting A R1 R1 R2 R2 d d Fn Displ. dn Loading dn+1 dn+1 dn+1 Force Correcting A C Fn Displ. dn+1 dn Predicting-Correcting Scheme Wait…
Target Structure 4 x 3,500 5,000 5,000 Target Structure Planar Model
4 6 2 1 1 1 7 5 3 Substructures Mass 2 4 6 4 x 3,500 1 3 5 7 5,000 5,000 Original Model Target Substructures
Substructures with Overlapping Domain Mass Mid-node 3 5 7 4 x 3,500 2 4 6 1 Overlapping Domain 3 5 7 2 4 6 1 5,000 5,000 Original Model Overlapped Substructures
Flexible Implementation at Boundaries Lumped mass 3,500 3,500 3,500 Numerical substructure Extended members Extended members 1,750 1,750 First story columns First story column 3,500 Link 3,500 Link 2,500 5,000 2,500 Tested substructure at UB Tested substructure at KU Final Substructures
Numerical Demonstration First Story Roof Level
Overseas Collaboration University at Buffalo Kyoto University
System Configuration Proxy PC Internet Internet Internet Internet Local LAN Local LAN ControlPC1 xPC Matlab StationUB RS232C SCRAMnet RS232C ControlPC2 StationKU RS232C Coordinator Sub1 ControlPC3 Kyoto Buffalo 10/15/2014
Specimen Setup 2014/10/15
Specimen Instrumentation (Kyoto) 20 21 10 9 500 800 510 11 12 13 14 15 400 26 27 600 400 22 23 8 6 5(7) Strain gauges Digital displacement transducers 304 744 24 25 4 2 1(3) 640 400 19 18 17 16 10/15/2014
Specimen Instrumentation (Buffalo) CE3 CW3 400 400 900 900 900 B1 B2 B3 400 400 CE2 CW2 Strain gauges CE1 CW1 400 400 10/15/2014
Specimen Instrumentation (Buffalo) 990.6 990.6 990.6 PB1T PB2T PB3T 190.5 PB1B PB2B PB3B 549.3 549.3 Potentiometers PCW2 PCE2 50.8 50.8 PCE1 PCW1 549.3 549.3 10/15/2014
Structure Responses • The story deformation remains uniform before collapse. The story drifts before collapse is close to 0.02. • It finally collapsed in the story mechanism, the first story drift is close to 0.12 rad. 2014/10/15
Comparison with Shaking Table Test 20% 40% 60% 100% 2014/10/15
Summaries • The hybrid test framework encapsulates each substructure by a standard I/O interface. Only boundary displacements and forces are exchanged between substructures and the coordinator program. The hybrid test framework is able to implement multiple tested substructures, and it is demonstrated to be stable even though the tested substructures have significant unstable behavior. The hybrid test framework has a capability to reproduce the dynamic behavior of a structure in a collapse stage.