Spectral Analysis of Non-Canonical Representation of Random Process in the Earthquake Action Modeling Problems for Proportioning of Buildings and Structures
Model of earthquake effect in the form of combination of simple functions with random parameters is analyzed. Random process simulating earthquake effect is given by non-canonical representation. Method of generation of artificial accelerograms of local earthquakes is proposed based on presentation of correlation function as a sum of cosine exponential summands. Approximation parameters of correlation function were defined earlier on the basis of least square method by using MATLAB package with the application of methods of nonlinear approximation. Coincidence of initial and generated spectral curves is used as a quality criterion. Selections of random process realizations from 20 to 10000 accelerograms are used. Algorithms are simply implemented in present day systems of computer mathematics MATLAB, SCILAB. Mathematical model of accelerogram of earthquake in El Centro, 1940, has also been considered. Algorithms application area - computations with the use of Eurocode 8 and standards ISO 2394, ISO 8930, including with the application of probabilistic methods, reliability assessment of buildings and constructions based on the method of statistical testing.