Multiobjective Optimal Structural Control of the Notre Dame Building Model Benchmark

Erik A. Johnson (Civil Engineering and Geological Sciences, University of Notre Dame)
Petros G. Voulgaris (Aeronautical and Astronautical Engineering, University of Illinois at Urbana-Champaign)
Lawrence A. Bergman (Aeronautical and Astronautical Engineering, University of Illinois at Urbana-Champaign)

paper (PDF, 360KB); abstract


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Active Mass Driver (AMD) Results

  JASmp
sample H2
JAH2
H2 minimizing all responses
JAH2act
H2 minimizing actuator responses
JAH2Hi1
mixed H2/H-infinity #1
JAH2Hi2
mixed H2/H-infinity #2
JAH2HiRS
mixed H2/H-infinity
(robust stability only)
J1 0.283977 0.310966 0.398657 0.327625 0.324450 0.313033
J2 0.439650 0.476396 0.632351 0.503900 0.498578 0.479470
J3 0.511421 0.435886 0.283546 0.404409 0.398811 0.433324
J4 0.512507 0.440505 0.288187 0.410767 0.403981 0.438310
J5 0.626685 0.368294 0.389019 0.366332 0.402066 0.369316
J6 0.4022240.455587 0.4105680.449376 0.4990750.513223 0.4195650.453735 0.4300760.469161 0.4144110.448668
J7 0.6362720.710194 0.6571730.715053 0.7665520.912615 0.6365760.770060 0.6581900.805364 0.6300360.749229
J8 0.5939820.667990 0.6026610.689468 0.3517900.397786 0.5773510.621134 0.4837610.547477 0.6182340.687786
J9 0.6053800.775300 0.6100610.880412 0.3459450.445912 0.5682960.783110 0.4788890.586781 0.6066920.954007
J10 0.9559361.336047 0.8385561.031068 0.5131100.497908 0.8587050.847003 0.6827190.673542 0.9199061.156828
uRMS 0.143033 0.147625 0.110083 0.140483 0.127560 0.146866
amRMS 1.121766 0.659245 0.696344 0.655735 0.719698 0.661076
xmRMS 0.669962 0.571010 0.371446 0.529775 0.522442 0.567654
uMAX 0.5254950.304705 0.5889460.349373 0.3481020.203557 0.5726490.302753 0.4361550.257683 0.6029860.350109
amMAX 4.8274793.447002 4.2347082.660155 2.5912051.284602 4.3364622.185267 3.4477311.737738 4.6455232.984617
xmMAX 2.0017181.108863 2.0309671.144516 1.1855320.660324 1.9456711.031082 1.6302760.908812 2.0834491.141724
  ElCentroHachinohe ElCentroHachinohe ElCentroHachinohe ElCentroHachinohe ElCentroHachinohe ElCentroHachinohe

The Kanai-Tajimi results were performed using wg =37.3 rads/sec, zg =0.3, Tf =300 secs.


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Active Tendon (TEN) Results

  JTH2
H2
JTH2Hi
mixed H2/H-infinity #1
J1 0.167111 0.167293
J2 0.359285 0.359669
J3 0.025970 0.025938
J4 0.037724 0.037217
J5 0.010127 0.010127
J6 0.2498700.294108 0.2528820.298967
J7 0.4608800.775928 0.4794120.771152
J8 0.0561480.057316 0.0571310.055784
J9 0.2031720.125013 0.1849380.106607
J10 0.0409990.030129 0.0399970.030030
uRMS 0.490478 0.490037
amRMS 2.926582 2.926778
xmRMS 0.060771 0.060695
uMAX 2.8416781.814015 2.8546821.660232
amMAX 11.8488258.707411 11.5591658.678615
xmMAX 0.3621560.216653 0.3684940.210864
  ElCentroHachinohe ElCentroHachinohe

The Kanai-Tajimi results were performed using wg =14.5 rads/sec, zg =0.3, Tf =750 secs.

Numbers in this face represent violated constraints.
Numbers in this face are the larger of the ElCentro/Hachinohe values.

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