There is a special polygon to study the seismic insulating properties of buildings in Almaty. In 1989, stations of engineering seismometric service were installed on three constructed houses with the same supra-foundation part (9-storeyed large-panel houses), but with different foundations: conventional strip foundations with a system of cross strips, seismically isolating kinematic foundations and supports with PTFE gaskets. In the Republic of Kazakhstan, over 40 houses on kinematic foundations were built in Almaty. During the earthquake on August 16, 2014, instrumental records of the indicated earthquake were obtained. These instrumental records formed a very convenient for studying sample out of 10 accelerograms – they were obtained on the analogue house and two buildings with seismically isolating foundations. It has been established that the magnitudes of the acceleration at the level of the 9th floor in seismically isolated buildings are 47% less than the similar value in the building on a strip foundation. The maximum values of the spectral acceleration for seismically isolating buildings at the level of the 9th floor are 1.2 times less than the same value for FT, and 2.4 times for KF.

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.

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