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BUILDINGS WITH BASE
ISOLATION TECHNIQUES


Mahmoud SAYED AHMED
m.sayedahmed@ryerson.ca
Overview

           Introduction

           Literature Review

           Case Study: Base Isolated Building

           Case Study: Fixed Base Building

           Conclusions and Recommendations
Introduction
NBCC 2010 specifies that
buildings     and     their
structural members shall be
designed by one of the
following methods:
   analysis based on       generally
    established theory,
   evaluation of a given full-scale
    structure or a prototype by
    loading tester or

   studies of model analogues   .
Literature review

         Earthquake

         Structural bearing

         Base Isolation

         Design requirements

         Construction of base isolated building
Earthquake




Tectonic plate movement
Cont.
                                         0.8

                                         0.7
      Spectral Response Acceleration,S




                                         0.6

                                         0.5
                                                                                   Toronto
                                         0.4
                                                                                   Alexandria
                                         0.3
                                                                                   White River
                                         0.2

                                         0.1

                                          0
                                               0   0.5   1               1.5   2                 2.5
                                                             Period, T




   Seismic map in Canada
   The four Sa 0.2, 0.5, 1.0 and 2.0 seconds (equivalent to frequencies of 5, 2, 1, and 0.5 Hertz)
                                                                                                  [Source: www.earthquakescanada.nrcan.gc.ca]
Structural bearing
  The CHBDC standards recognized
  the bearing as follows:
   Plain elastomeric
          Natural Rubber
          Neoprene
     Steel reinforced elastomeric
     Roller bearing                                Elastomeric   Roller
     Rocker bearing
     Pot bearing
     Disc bearing
     Spherical and cylindrical bearing
     Other (require approval)

Rapolla seismic isolated building, Potenza, Italy
LBRtest
                                                     Rocker         Pot
Rubber bearing




                                                                            Lift-off: bearing behavior assumed in :
Internal forces which act to displace the rubber from the vertical height             “seismic linear model”
                 lost in deflection to the unloaded sides




              Load-deflection for one and three layer units reinforced with steel plate [Farat]
Base isolation
   Add your procedure
    here
   Key assumptions
     Add    your assumptions
      here


                                          Building movement




Base-Isolation Building [Lu et al 2012]
Building movement




Press to run Video
                     Press to run Video
Damping

          0.001 g (0.01 m/s²) – perceptible by people
          0.02 g (0.2 m/s²) – people lose their balance
          0.50 g – very high; well-designed buildings can
          survive if the duration is short
Design requirements

Cont.,

Construction of base isolation
   Friction Pendulum
    System
   Pasadena City Hall
Pasadena City Hall
Parametric study

         Finite element modeling

         Gravity loads

         Isolated base building

         Fixed base building

         Results
Finite element modeling
Table 3. 1 High damping bearing Properties

 Vertical (axial) stiffness           10,000 k/in

                                        (linear)

 Initial shear stiffness in each       10 K/in

 direction

 Shear yield force in each              5 kips

 direction                                                                                B.1
 Ratio of post yield shear                0.2

 stiffness   to   initial     shear

 stiffness



                                                    Figure 3. 1 3D Finite element model
Gravity loads & forces




                          Moment 3-3 Diagram




                           Axial Force Diagram
 Figure 3. 3 Combo (Dead plus live load) effect on the N-S for Grid A.1 or A.4
Isolated base building




                 Response histories
                 (a) displacement of column
                     (joint 15, 13),
                 (b) displacement of column
                     w.r.t. base,
                 (c) displacement of base shear
MODAL 1




             Moment 3-3 Diagram
              (MODAL) Model 1 –
              Period 2.81065
             Deformation shape
              (MODAL) – Mode 1 –
              Period 2.81065
MODAL 2




             Moment 3-3 Diagram
              (MODAL) Model 2 –
              Period 2.7975
             Deformation shape
              (MODAL) – Mode 2 –
              Period 2.7975
MODAL 3




             Moment 3-3 Diagram
              (MODAL) Model 3 –
              Period 2.42137
             Deformation shape
              (MODAL) – Mode 3 –
              Period 2.42137
MODAL 4




             Moment 3-3 Diagram
              (MODAL) Model 4 –
              Period 0.32664
             Deformation shape
              (MODAL) – Mode 4 –
              Period 0.32664
MODAL 5




             Moment 3-3 Diagram
              (MODAL) Model 5 –
              Period 0.24728
             Deformation shape
              (MODAL) – Mode 5 –
              Period 0.24728
Fixed base building




                       Response histories
                  (a)    displacement of column
                         (joint 15, 13),
                  (b)    displacement of column w.r.t.
                         base,
                  (c)    displacement of base shear
MODAL 1




             Moment 3-3
              Diagram (MODAL)
              Model 1 – Period
              0.49310
             Deformation shape
              (MODAL) – Mode 1
              – Period 0.49310
MODAL 2




             Moment 3-3 Diagram
              (MODAL) Model 2 –
              Period 0.35973
             Deformation shape
              (MODAL) – Mode 2 –
              Period 0.35973
MODAL 3




             Moment 3-3 Diagram
              (MODAL) Model 3 –
              Period 0.35117
             Deformation shape
              (MODAL) – Mode 3 –
              Period 0.35117
MODAL 4




             Moment 3-3 Diagram
              (MODAL) Model 4 –
              Period 0.19916
             Deformation shape
              (MODAL) – Mode 4 –
              Period 0.19916
MODAL 5




             Moment 3-3 Diagram
              (MODAL) Model 5 –
              Period 0.14006
             Deformation shape
              (MODAL) – Mode 5 –
              Period 0.14006
Results
Modal participating mass ratio (MPMR)
                                       Period, T [seconds]                        Frequency, ƒ [Hz]
           Modal
                                   Fixed Base      Isolated Base                   Fixed   Isolated
           Mode
                                                                                   Base      Base
             1                      0.49310            2.81065                    2.0279 0.35578
             2                      0.35973            2.79750                    2.7799 0.35746
             3                      0.35117            2.42137                    2.8476 0.41298
             4                      0.19916            0.32664                    5.0211 3.06147
             5                      0.14006            0.24728                    7.1397 4.04399
                         Where ƒ ≥ 1 Hz for rigid building, ƒ < 1 Hz for flexible building
                                   6

                                   5
                     MODAL, mode




                                   4

                                   3
                                                                                Fixed base
                                   2
                                                                                Isolated base
                                   1

                                   0
                                       0      2             4               6                   8
                                                      frequency, Hz
Modal moment and shear values for edge column B.1
                                            Modal 1             Modal 2             Modal 3              Modal 4           Modal 5
                                   H     Moment  Shear      Moment    Shear     Moment    Shear      Moment     Shear      Moment      Shear
                 Minor (V3 , M2)




                                   288   10.95     -0.146    -0.012    2.4E-4    -3.452    0.047     1104.155   -15.399   -423.458    5.990
                                   144   -10.06    -0.146     0.022    2.4E-4    3.375     0.047    -1110.116   -15.399    437.875    5.990
Isolated-Base




                                   144   29.27     -0.411    -0.035    5.2E-4    -8.186    0.115     1431.488   -20.376   -536.685    7.627
                                    0    -29.27    -0.411     0.040    5.2E-4    8.403     0.115    -1502.657   -20.376    561.644    7.627
                 Major (V2, M3)




                                   288   4.5E-3    2.3E-4   14.804      -0.19    22.168     -0.28    -0.246     0.022     2765.094    -37.176
                                   144   0.038     2.3E-4    -12.55     -0.19   -18.120     -0.28    2.864      0.022     -2588.261   -37.176
                                   144   -0.086    1.4E-3   32.193     -0.457    49.083    -0.698    -4.993     0.072     3107.763    -45.283
                                    0    0.112     1.4E-3   -33.644    -0.457   -51.388    -0.698    5.389      0.072     -3413.022   -45.283


                                   288   562.661   -7.645   245.464    -3.435    1.067     -0.023   -2586.53    38.47     944.549     -13.976
                 Minor (V3 , M2)




                                   144   -538.23   -7.645   -249.23    -3.435    -2.209    -0.023   2921.005     38.47    -1068.03    -13.976
                                   144   1133.21   -16.52   403.782    -5.849    2.217     -0.023   1862.977    -25.378   -691.367     9.451
                                    0    -1245.9   -16.52   -438.537   -5.849    -1.082    -0.023   -1791.469   -25.378   669.645     9.451
Fixed-Base




                                   288   -0.315    0.021    -1569.76   20.652   -1477.36   19.656     3.372     -0.038    -6329.895   94.133
                 Major (V2, M3)




                                   144    2.776    0.021    1404.12    20.652   1353.073   19.656    -2.092     -0.038    7225.272    94.133
                                   144   -3.192    0.031    -2430.91   37.054   -2251.60   34.076     0.841     -8.2E-3   4966.383    -66.903

                                    0     1.321    0.031    2904.87    37.054   2655.291   34.076    -0.348     -8.2E-3   -4667.693   -66.903
Lateral displacement for B.1
Modal Mode       Joint                          Fixed Base                                                  Isolated Base
                [Height]            U1               U2               U3                          U1              U2          U3
               15 [288]          -9.2E-14         -0.7459          -0.0032                    -2.2E-11        -0.4699     -0.0001
    1          14 [144]          -5.4E-14         -0.4597          -0.0025                    -2.2E-11        -0.4642     -0.0001
               13 [0.00]           0.00             0.00             0.00                     -2.2E-11        -0.4518     -4.8E-5

               15 [288]           0.8412          -0.2804          -0.0026                    -0.4659        1.9E-11     2.3E-5
    2          14 [144]           0.4806          -0.1602          0.0021                     -0.4625        1.8E-11     2.1E-5
               13 [0.00]           0.00             0.00             0.00                     -0.456         1.8E-11     1.1E-5

               15 [288]           0.7684           1.6E-13         -0.0013                    -0.5141        0.1714      6.7E-5
    3          14 [144]           0.4362           9.0E-14          -0.001                    -0.5088        0.1696      6.0E-5
               13 [0.00]           0.00             0.00             0.00                     -0.4987        0.1662      2.9E-5

               15 [288]         1.19E-14           0.5858          0.0073                     -3.3E-14       -0.6543     -0.0086
    4          14 [144]         -1.03E-14          0.5853          0.0043                     -1.8E-15       -0.1044     -0.0073
               13 [0.00]           0.00             0.00            0.00                      2.6E-14        0.5306      -0.0031

               15 [288]           0.6114          -0.2038          -0.0062                    -0.727         0.2423      0.0066
    5          14 [144]          -0.6612          0.2204           -0.0034                    -0.1064        0.0355      0.0056
               13 [0.00]           0.00             0.00             0.00                     0.0025         -0.1926     0.5778


             Where U1, U2, U3 are displacement in x, y, z directions respectively in [in]; Height in [in]
Cont.,
                                   350                                                                 350


                                   300                                                                 300


                                   250                                                                 250
                                                                                                                               Mode 1
                                   200                                                                 200
Height, in




                                                              Height, in
                                                                                                                               Mode 2
                  Mode 1
                                   150                                                                 150                     Mode 3
                  Mode 2
                                                                                                                               Mode 4
                  Mode 3           100                                                                 100
                                                                                                                               Mode 5
                  Mode 4
                                    50                                                                  50
                  Mode 5
                                      0                                                                  0
       -1                  -0.5          0          0.5   1                -0.8   -0.6   -0.4    -0.2      0       0.2   0.4        0.6
                                  Displacment, in                                               Displacement, in




                Movement in U2 direction for fixed & isolated base buildings under
                 the first five MODAL modes
Base shear
   SRSS; square
    root of sum
    of squares
Cont.,
 Structure                    Joint reaction @ B.1 [kip]
              Type
   Type                     1              2             3
             Modal1       0.000          0.678         0.480
             Modal 2      0.684          0.000        -0.108
 Isolated    Modal 3      0.748         -0.249        -0.291
   Base      Modal 4      0.000         -0.796        31.454
             Modal 5     -0.867          0.289       -24.722
             Gravity      0.000          0.000      361.487
             Modal 1   -3.134E-2        16.522        13.514
             Modal 2     37.054          5.849        10.948
             Modal 3    -34.076        2.291E-2        5.603
Fixed Base
             Modal 4    8.258E-3        25.378       -22.900
             Modal 5     66.903         -9.451        18.251
             Gravity      0.179          0.404      360.799
Conclusions
   The main observation from the modeling study on the accuracy of seismic
    effect and lateral load patterns utilized in the Multi-Modal Pushover
    analysis (MPA) in predicting earthquake effect showed that the accuracy of
    the pushover results depends strongly on the load path, properties of the
    structure and the characteristics of the ground motion.
   The lateral deflection for MDOF for multi-story building can be represented
    as SDOF once the equivalent mass and stiffness is obtained.
   The plastic hinge location varies by the type of loading, and the change in
    MODAL period. It can be located at any point along the span of member
    as well as the end of the member.
   Drift index and inter-story drift should be predicted using the multi-modal
    (SRSS) and the elastic first mode with long period for the lateral load
    pattern which corresponds to the average in most cases.
   Base-isolated structure exhibit less lateral deflection, as the lateral
    displacement at the base never equals to zero, and less moment values than
    the fixed base structure.
Cont.,
   The base isolation decouples the building from the
    earthquake-induced load, and maintain longer
    fundamental lateral period than that of the fixed base.
   Base-isolated structure exhibit less lateral deflection, as
    the lateral displacement at the base never equals to
    zero, and less moment values than the fixed base
    structure.
   The base isolation decouples the building from the
    earthquake-induced load, and maintain longer
    fundamental lateral period than that of the fixed base.
Recommendations
   Study the influence of the structural bearing
    properties and the stresses generated from tilting of
    the superstructure due to lateral loading.
   Study the potential for liquefaction of the soil and
    its consequences on base-isolated buildings.
   Establish design procedures and guidelines for
    Base-Isolation structure.
References
   Chopra, A.R., “Dynamics of structures,” Prentice-Hall, New
    Jersy, USA, 2001.
   CSI, “base reactions for response spectrum,” website:
    https://wiki.csiberkeley.com/display/kb/Base+reactions+fo
    r+response+spectrum+analysis, accessed March 2012.
   Eggert, H., Kauschke, W., “Structural Bearings,” Ernst & Sohn,
    Germany, 2002.
   NRCC, “National Building Code of Canada,” Associate
    Committee on the National Building Code, National
    Research Council of Canada, Ottawa, ON, 2005.
   Tedesco, J.W., McDougal, W.G., and Ross C.A., “Structural
    dynamics: Theory and applications,” Prentice Hall, USA,
    1998.
   DRAMATIC BUILDING COLLAPSE CAUGHT ON TAPE!
   http://www.youtube.com/watch?v=tzGJs-
    uyaSY&feature=related
   Earthquake causes building to collapse
   http://www.youtube.com/watch?v=NqRN63iDTqA
   Rapolla seismic isolated building, Potenza, Italy
   http://www.youtube.com/watch?v=1oGkM1QpL3M
   LBRtest
   http://www.youtube.com/watch?v=2yXgu4aS8HE
Questions and Discussion

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Buildings with Base Isolation Techniques

  • 1. BUILDINGS WITH BASE ISOLATION TECHNIQUES Mahmoud SAYED AHMED m.sayedahmed@ryerson.ca
  • 2. Overview Introduction Literature Review Case Study: Base Isolated Building Case Study: Fixed Base Building Conclusions and Recommendations
  • 3. Introduction NBCC 2010 specifies that buildings and their structural members shall be designed by one of the following methods:  analysis based on generally established theory,  evaluation of a given full-scale structure or a prototype by loading tester or  studies of model analogues .
  • 4. Literature review Earthquake Structural bearing Base Isolation Design requirements Construction of base isolated building
  • 6. Cont. 0.8 0.7 Spectral Response Acceleration,S 0.6 0.5 Toronto 0.4 Alexandria 0.3 White River 0.2 0.1 0 0 0.5 1 1.5 2 2.5 Period, T  Seismic map in Canada  The four Sa 0.2, 0.5, 1.0 and 2.0 seconds (equivalent to frequencies of 5, 2, 1, and 0.5 Hertz) [Source: www.earthquakescanada.nrcan.gc.ca]
  • 7. Structural bearing The CHBDC standards recognized the bearing as follows:  Plain elastomeric  Natural Rubber  Neoprene  Steel reinforced elastomeric  Roller bearing Elastomeric Roller  Rocker bearing  Pot bearing  Disc bearing  Spherical and cylindrical bearing  Other (require approval) Rapolla seismic isolated building, Potenza, Italy LBRtest Rocker Pot
  • 8. Rubber bearing Lift-off: bearing behavior assumed in : Internal forces which act to displace the rubber from the vertical height “seismic linear model” lost in deflection to the unloaded sides Load-deflection for one and three layer units reinforced with steel plate [Farat]
  • 9. Base isolation  Add your procedure here  Key assumptions  Add your assumptions here Building movement Base-Isolation Building [Lu et al 2012]
  • 10. Building movement Press to run Video Press to run Video
  • 11. Damping 0.001 g (0.01 m/s²) – perceptible by people 0.02 g (0.2 m/s²) – people lose their balance 0.50 g – very high; well-designed buildings can survive if the duration is short
  • 14. Construction of base isolation  Friction Pendulum System  Pasadena City Hall
  • 16.
  • 17. Parametric study Finite element modeling Gravity loads Isolated base building Fixed base building Results
  • 18. Finite element modeling Table 3. 1 High damping bearing Properties Vertical (axial) stiffness 10,000 k/in (linear) Initial shear stiffness in each 10 K/in direction Shear yield force in each 5 kips direction B.1 Ratio of post yield shear 0.2 stiffness to initial shear stiffness Figure 3. 1 3D Finite element model
  • 19. Gravity loads & forces Moment 3-3 Diagram Axial Force Diagram Figure 3. 3 Combo (Dead plus live load) effect on the N-S for Grid A.1 or A.4
  • 20. Isolated base building Response histories (a) displacement of column (joint 15, 13), (b) displacement of column w.r.t. base, (c) displacement of base shear
  • 21. MODAL 1  Moment 3-3 Diagram (MODAL) Model 1 – Period 2.81065  Deformation shape (MODAL) – Mode 1 – Period 2.81065
  • 22. MODAL 2  Moment 3-3 Diagram (MODAL) Model 2 – Period 2.7975  Deformation shape (MODAL) – Mode 2 – Period 2.7975
  • 23. MODAL 3  Moment 3-3 Diagram (MODAL) Model 3 – Period 2.42137  Deformation shape (MODAL) – Mode 3 – Period 2.42137
  • 24. MODAL 4  Moment 3-3 Diagram (MODAL) Model 4 – Period 0.32664  Deformation shape (MODAL) – Mode 4 – Period 0.32664
  • 25. MODAL 5  Moment 3-3 Diagram (MODAL) Model 5 – Period 0.24728  Deformation shape (MODAL) – Mode 5 – Period 0.24728
  • 26. Fixed base building  Response histories (a) displacement of column (joint 15, 13), (b) displacement of column w.r.t. base, (c) displacement of base shear
  • 27. MODAL 1  Moment 3-3 Diagram (MODAL) Model 1 – Period 0.49310  Deformation shape (MODAL) – Mode 1 – Period 0.49310
  • 28. MODAL 2  Moment 3-3 Diagram (MODAL) Model 2 – Period 0.35973  Deformation shape (MODAL) – Mode 2 – Period 0.35973
  • 29. MODAL 3  Moment 3-3 Diagram (MODAL) Model 3 – Period 0.35117  Deformation shape (MODAL) – Mode 3 – Period 0.35117
  • 30. MODAL 4  Moment 3-3 Diagram (MODAL) Model 4 – Period 0.19916  Deformation shape (MODAL) – Mode 4 – Period 0.19916
  • 31. MODAL 5  Moment 3-3 Diagram (MODAL) Model 5 – Period 0.14006  Deformation shape (MODAL) – Mode 5 – Period 0.14006
  • 32. Results Modal participating mass ratio (MPMR) Period, T [seconds] Frequency, ƒ [Hz] Modal Fixed Base Isolated Base Fixed Isolated Mode Base Base 1 0.49310 2.81065 2.0279 0.35578 2 0.35973 2.79750 2.7799 0.35746 3 0.35117 2.42137 2.8476 0.41298 4 0.19916 0.32664 5.0211 3.06147 5 0.14006 0.24728 7.1397 4.04399 Where ƒ ≥ 1 Hz for rigid building, ƒ < 1 Hz for flexible building 6 5 MODAL, mode 4 3 Fixed base 2 Isolated base 1 0 0 2 4 6 8 frequency, Hz
  • 33. Modal moment and shear values for edge column B.1 Modal 1 Modal 2 Modal 3 Modal 4 Modal 5 H Moment Shear Moment Shear Moment Shear Moment Shear Moment Shear Minor (V3 , M2) 288 10.95 -0.146 -0.012 2.4E-4 -3.452 0.047 1104.155 -15.399 -423.458 5.990 144 -10.06 -0.146 0.022 2.4E-4 3.375 0.047 -1110.116 -15.399 437.875 5.990 Isolated-Base 144 29.27 -0.411 -0.035 5.2E-4 -8.186 0.115 1431.488 -20.376 -536.685 7.627 0 -29.27 -0.411 0.040 5.2E-4 8.403 0.115 -1502.657 -20.376 561.644 7.627 Major (V2, M3) 288 4.5E-3 2.3E-4 14.804 -0.19 22.168 -0.28 -0.246 0.022 2765.094 -37.176 144 0.038 2.3E-4 -12.55 -0.19 -18.120 -0.28 2.864 0.022 -2588.261 -37.176 144 -0.086 1.4E-3 32.193 -0.457 49.083 -0.698 -4.993 0.072 3107.763 -45.283 0 0.112 1.4E-3 -33.644 -0.457 -51.388 -0.698 5.389 0.072 -3413.022 -45.283 288 562.661 -7.645 245.464 -3.435 1.067 -0.023 -2586.53 38.47 944.549 -13.976 Minor (V3 , M2) 144 -538.23 -7.645 -249.23 -3.435 -2.209 -0.023 2921.005 38.47 -1068.03 -13.976 144 1133.21 -16.52 403.782 -5.849 2.217 -0.023 1862.977 -25.378 -691.367 9.451 0 -1245.9 -16.52 -438.537 -5.849 -1.082 -0.023 -1791.469 -25.378 669.645 9.451 Fixed-Base 288 -0.315 0.021 -1569.76 20.652 -1477.36 19.656 3.372 -0.038 -6329.895 94.133 Major (V2, M3) 144 2.776 0.021 1404.12 20.652 1353.073 19.656 -2.092 -0.038 7225.272 94.133 144 -3.192 0.031 -2430.91 37.054 -2251.60 34.076 0.841 -8.2E-3 4966.383 -66.903 0 1.321 0.031 2904.87 37.054 2655.291 34.076 -0.348 -8.2E-3 -4667.693 -66.903
  • 34. Lateral displacement for B.1 Modal Mode Joint Fixed Base Isolated Base [Height] U1 U2 U3 U1 U2 U3 15 [288] -9.2E-14 -0.7459 -0.0032 -2.2E-11 -0.4699 -0.0001 1 14 [144] -5.4E-14 -0.4597 -0.0025 -2.2E-11 -0.4642 -0.0001 13 [0.00] 0.00 0.00 0.00 -2.2E-11 -0.4518 -4.8E-5 15 [288] 0.8412 -0.2804 -0.0026 -0.4659 1.9E-11 2.3E-5 2 14 [144] 0.4806 -0.1602 0.0021 -0.4625 1.8E-11 2.1E-5 13 [0.00] 0.00 0.00 0.00 -0.456 1.8E-11 1.1E-5 15 [288] 0.7684 1.6E-13 -0.0013 -0.5141 0.1714 6.7E-5 3 14 [144] 0.4362 9.0E-14 -0.001 -0.5088 0.1696 6.0E-5 13 [0.00] 0.00 0.00 0.00 -0.4987 0.1662 2.9E-5 15 [288] 1.19E-14 0.5858 0.0073 -3.3E-14 -0.6543 -0.0086 4 14 [144] -1.03E-14 0.5853 0.0043 -1.8E-15 -0.1044 -0.0073 13 [0.00] 0.00 0.00 0.00 2.6E-14 0.5306 -0.0031 15 [288] 0.6114 -0.2038 -0.0062 -0.727 0.2423 0.0066 5 14 [144] -0.6612 0.2204 -0.0034 -0.1064 0.0355 0.0056 13 [0.00] 0.00 0.00 0.00 0.0025 -0.1926 0.5778 Where U1, U2, U3 are displacement in x, y, z directions respectively in [in]; Height in [in]
  • 35. Cont., 350 350 300 300 250 250 Mode 1 200 200 Height, in Height, in Mode 2 Mode 1 150 150 Mode 3 Mode 2 Mode 4 Mode 3 100 100 Mode 5 Mode 4 50 50 Mode 5 0 0 -1 -0.5 0 0.5 1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 Displacment, in Displacement, in  Movement in U2 direction for fixed & isolated base buildings under the first five MODAL modes
  • 36. Base shear  SRSS; square root of sum of squares
  • 37. Cont., Structure Joint reaction @ B.1 [kip] Type Type 1 2 3 Modal1 0.000 0.678 0.480 Modal 2 0.684 0.000 -0.108 Isolated Modal 3 0.748 -0.249 -0.291 Base Modal 4 0.000 -0.796 31.454 Modal 5 -0.867 0.289 -24.722 Gravity 0.000 0.000 361.487 Modal 1 -3.134E-2 16.522 13.514 Modal 2 37.054 5.849 10.948 Modal 3 -34.076 2.291E-2 5.603 Fixed Base Modal 4 8.258E-3 25.378 -22.900 Modal 5 66.903 -9.451 18.251 Gravity 0.179 0.404 360.799
  • 38. Conclusions  The main observation from the modeling study on the accuracy of seismic effect and lateral load patterns utilized in the Multi-Modal Pushover analysis (MPA) in predicting earthquake effect showed that the accuracy of the pushover results depends strongly on the load path, properties of the structure and the characteristics of the ground motion.  The lateral deflection for MDOF for multi-story building can be represented as SDOF once the equivalent mass and stiffness is obtained.  The plastic hinge location varies by the type of loading, and the change in MODAL period. It can be located at any point along the span of member as well as the end of the member.  Drift index and inter-story drift should be predicted using the multi-modal (SRSS) and the elastic first mode with long period for the lateral load pattern which corresponds to the average in most cases.  Base-isolated structure exhibit less lateral deflection, as the lateral displacement at the base never equals to zero, and less moment values than the fixed base structure.
  • 39. Cont.,  The base isolation decouples the building from the earthquake-induced load, and maintain longer fundamental lateral period than that of the fixed base.  Base-isolated structure exhibit less lateral deflection, as the lateral displacement at the base never equals to zero, and less moment values than the fixed base structure.  The base isolation decouples the building from the earthquake-induced load, and maintain longer fundamental lateral period than that of the fixed base.
  • 40. Recommendations  Study the influence of the structural bearing properties and the stresses generated from tilting of the superstructure due to lateral loading.  Study the potential for liquefaction of the soil and its consequences on base-isolated buildings.  Establish design procedures and guidelines for Base-Isolation structure.
  • 41. References  Chopra, A.R., “Dynamics of structures,” Prentice-Hall, New Jersy, USA, 2001.  CSI, “base reactions for response spectrum,” website: https://wiki.csiberkeley.com/display/kb/Base+reactions+fo r+response+spectrum+analysis, accessed March 2012.  Eggert, H., Kauschke, W., “Structural Bearings,” Ernst & Sohn, Germany, 2002.  NRCC, “National Building Code of Canada,” Associate Committee on the National Building Code, National Research Council of Canada, Ottawa, ON, 2005.  Tedesco, J.W., McDougal, W.G., and Ross C.A., “Structural dynamics: Theory and applications,” Prentice Hall, USA, 1998.
  • 42. DRAMATIC BUILDING COLLAPSE CAUGHT ON TAPE!  http://www.youtube.com/watch?v=tzGJs- uyaSY&feature=related  Earthquake causes building to collapse  http://www.youtube.com/watch?v=NqRN63iDTqA  Rapolla seismic isolated building, Potenza, Italy  http://www.youtube.com/watch?v=1oGkM1QpL3M  LBRtest  http://www.youtube.com/watch?v=2yXgu4aS8HE