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Figure 7. (a) Original earthquake acceleration time history; (b) Velocity time history without any baseline correction;
                    (c) Displacement time history without any baseline correction



                     (a)                               Acceleration: original data
                 0.5
                 0.3

                 0.1
                g
                 -0.1

                 -0.3

                 -0.5
                    0             10            20             30            40            50            60
                                                             second

                     (b)                         Velocity: integration from original acceleration
                 0.5

                 0.3

                 0.1
                m/s
                 -0.1

                 -0.3
                 -0.5
                    0             10            20             30            40            50            60
                                                             second

                     (c)                         Displacement: integration from original velocity
                  4

                  3
                  2
                m
                  1
                  0

                  -1
                    0             10            20             30            40            50            60
                                                             second






                                               have to integrate the acceleration   integrated from acceleration time
                                               time history to get velocity time   h istor y w ithout a ny basel i ne
              Application on                   history; and integrate again to get   correction.
              Seismic Time                     displacement time history. But if the   Fig ure 7c shows the ma x imum

              History Analysis                 acceleration time history has a shift   displacement is over 2 meters, it’s
                                               to zero mean (either constant or
                                                                               obviously impossible, thus the
                                               inclined) then the integration will
                                                                               baseline correction procedures are
                     he seismic data are always   amplify this shift, thereby causes   needed, and the procedures are
                     recorded in acceleration   the velocity and displacement
              Tunit, but the velocity and      time history into incorrect results.   –  For recorded acceleration a(t),
              displacement are also the important   Figure 8 illustrates the velocity   least square fit straight line:
              parameters for analysis, thus we   and displacement time history   a 0 +c 0 (t)




                                                                              NEW FAB TECHNOLOGY JOURNAL         JUNE  2013  17
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