Statistical Modeling of the Earthquake Input

Authors:  
Rubric:     Theoretical and experimental studies   
Key words: statistical modeling, seismic isolation, accelerogram, seismogram, random pulse, input model, spectral density, autocorrelation function, Arias intensity, acceleration spectrum
Annotation:
The main problem of modeling statistical seismic vibrations is correct input accelerogram setting. The analysis of the known seismic input models showed the erroneousness of using them in analyzing seismically isolated systems. These statistical models allow one to obtain either reliable accelerations or reliable displacements. However, complicated input models do not quite correspond to real earthquakes. Energy characteristics were not considered at all in the problems of accelerogram statistical modeling. A new model of seismic input, including a random pulse, has been considered. Three parameters has been added to the input model: the magnitude Мw , the epicentral distance R, and the moment when the pulse appears. Varying these parameters within the set limits allows one to adjust additional input characteristics. An example of the proposed process is given.