The application of fourier series for the technologic forecasting of the building condition

Belyj Vyacheslav Sergeevich, Adamushko Nadezhda Nikolaevna

Kolomna Institute of Moscow State Technical University «MAMI», Kolomna, Russia

Abstract:

The article discusses the possible application of Fourier series to predict the technical condition of buildings. It is noted that one of the problems of the present time in Russia – a condition of the housing stock, the deterioration of which about 80 %. For the Northern territories of the country this issue is even more acute. The inspection of buildings is a significant component of the work package to predict and assess the state of buildings when making repairs, modernization and reconstruction. It is noted that an adequate model for prediction of technical state of knowledge in General or of individual structural members must consider many factors, such as the presence of periodic oscillations in the dynamics of a number of indicators caused by annual temperature fluctuations. The authors of this paper note that the use of Fourier series in solving practical problems and in forecasting various phenomena have found wide application in science and technology. It is shown that one of the possible solutions to the problem of predicting the technical condition of the building on the survey results is forecasting using Fourier series for different numbers of harmonics. It is concluded that with increasing number of harmonics, the forecast becomes the most accurate.

Keywords:

Examination, diagnosis, forecasting, time series, seasonal variations.