Stochastic Process Simulation of Soil Displacement in Calculations of Seismic Resistant Buildings

Abstract

The solution to the problem of finding the statistical characteristics for a random process of seismic displacement of the foundation soil is given. Analytical methods of the theory of random functions and the method of statistical tests are used. The initial data for solving this problem are the characteristics of the random process of accelerating the soil of the base. The preliminary adjustment of the original accelerogram used for the subsequent calculation is shown. The implementations (accelerogram and seismogram) of the considered processes are constructed for two types of spectral acceleration densities in the form of a polyextreme function and an averaged function with one extreme. The obtained results are intended for carrying out probabilistic calculations of seismic resistant buildings as nonlinear systems and assessing their level of reliability