Abstract
Variation of strong motion intensity, root mean square of ground acceleration and time-duration in seconds obtained from 83 accelerograms of 18 earthquakes with magnitudes between 5 to 7.7 were investigated considering four definitions of strong section of accelerograms given by Vanmarcke-Lai; Bolt, Trifunac-Brady and McCaan-Shah. Strong motion intensities were calculated for all definitions of strong duration. Even though, durations in seconds and root mean square of ground acceleration values resulted quite different among the four definitions of strong sections, both durations in seconds and root mean square of acceleration squared values tend to compensate each other to yield the same strong motion intensity for each definition used. Q-ratio as defined by Vanmarcke-Lai (Peak Ground Acceleration divided by root mean square of acceleration) was found not constant but instead it varied significantly for all strong motion definitions. Similarly, ratio of strong motion intensity over peak ground acceleration squared as defined by Vanmarcke-Lai holds linear for time durations less than 20-30 seconds for all definitions, afterwards it shows large dispersion. Finally, Vanmarcke-Lai time duration in seconds appears to increase from near field distance up to a certain medium distance after which it starts to decrease.
Highlights
The root mean square of any variable which changes with time or distance, such as an acceleration time history or a cone resistance record with depth, has many applications in the statistical treatment of such variable when it is conceived as a random process
Arias intensity provides the measurement of the energy being applied to the structure and the root mean square of the acceleration provides an approximation to the standard deviation for stationary random processes, which include the usual treatment of earthquakes
It is interesting to investigate the variation of the root mean square of the ground acceleration considering the magnitude and some other seismic parameters taking into account the definition of duration used to establish the strong section of the acceleration time history
Summary
The root mean square of any variable which changes with time or distance, such as an acceleration time history or a cone resistance record with depth, has many applications in the statistical treatment of such variable when it is conceived as a random process. In the particular case of the acceleration time histories, the root mean square of the ground acceleration (arms) has been used by several authors [1,2,3] to define the strong section of the accelerogram. Arias intensity provides the measurement of the energy being applied to the structure and the root mean square of the acceleration provides an approximation to the standard deviation for stationary random processes, which include the usual treatment of earthquakes. It is interesting to investigate the variation of the root mean square of the ground acceleration considering the magnitude and some other seismic parameters taking into account the definition of duration used to establish the strong section of the acceleration time history. In this sttudy four definitions of durations: Vanmarcke-Lai (VL) [1]; Trifunac-Brady (TB) [2], Mc Caan-Shah (McS) [3] and Bolt (B) [4] were used to define the strong section of selected accelograms
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