Non-Canonic Representation of the Random Process in Tasks of Simulating Seismic Impacts for Calculating Buildings and Structures

Abstract

The seismic impact model is analyzed as a combination of simple functions with random parameters. A random process simulating seismic impact is defined by a simple non-canonical representation. A method for generating artificial accelerograms of local earthquakes is proposed, based on the representation of the correlation function as the sum of cosine-exponential terms. The approximation parameters of the correlation function were determined earlier based on the least squares method using the MATLAB package using nonlinear approximation methods. As a quality criterion, the initial and generated spectral curves coincide. Samples of random process realizations from 20 to 10,000 realizations (artificial accelerograms) are used. Algorithms are simply implemented in modern computer mathematics systems MATLAB, SCILAB. The mathematical model of the accelerogram of the earthquake in El Centro, 1940 is also considered. The area of application of the algorithms is calculations using Eurocode 8 and ISO 2394, ISO 8930 standards, including using probabilistic methods, determining the reliability of buildings and structures based on the statistical test method.