It is known, that prolonged vibrating power influences substantially define reliability and durability of responsible engineering constructions. In this connection the development of new methods of experimental vibrodiagnostics data processing as the primary information for the theoretical decision of reliability and durability problem, is extremely important and actual problem. In the given project the mathematical aspects and examples of continuous wavelet transform application for processing of experimental data, which are obtained by the vibrodiagnostics measuring of real buildings, have been considered.

One way of the vibrodiagnostics data receiving is the seismic measuring on subject of research using special vibration detectors. The aim of these measurements is the registration of vibration amplitude dependences of subject of research (construction surface) on time and their saving as numerical arrays on PC for a further processing. In this project the measurement system based on three-component geophone TC1 has been used. The TC1 is assigned for a conversion of the velocity and displacement vectors projections into electrical signal in frequency range from 0.5 to 40 Hz and has been constructed in design office of geophysical instrument-making of RAS.

During the project, two vibrodiagnostics measurements have been realized. The aim of the first experiment was the detection of dynamic force on a dwelling house and thermal substation while poling nearby. The second example is the vibrodiagnostics measuring on a motor bridge.

Today the continuous and discrete Fourier transforms are the basis of the spectral analysis; a concernment and a lure of it for a stationary signals processing are indisputable and time-proved. But for a non-stationary signals study Fourier analysis is hardly applicable, since it is inert to time-frequencies distribution, namely this fact is one of the major characteristics of non-stationary signal. The present day two approaches of non-stationary signals analysis have a wide distribution. The first approach is the window Fourier transform and the second one is the wavelet transform.

The term "wavelet" appeared relatively lately, it was introduced into practice by A.Grossman and J.Morlet in the eighties in connection with the processing of seismic and acoustic signals properties. The present day the analyzers family termed "wavelet" is conformed to the problems of patterns recognitions, while a processing and synthesis of various signals, while a various images analysis, for a turbulence fields investigation, for a huge data compression and in many others cases. But always the common fact is that result of analysis of some signal has to enclose not only the simple enumeration of typical frequencies (scales) but the information about definite local coordinates at which frequencies show one's worth.

Also the information about the time of oscillations appearance and dying on definite frequencies plays important role while the analysis of constructions response to some dynamic force, therefore the wavelet analysis has been used in this project as the main mathematical tool.

[1]	M.A.Kulesh and I.N.Shardakov Vibrodiagnostics of motor-road bridge - experiment, numerical calculations and analysis (in Russian) // PSTU Bulletin. Computational mathematics and mechanics. P. 73-80 (1998). Full text (pdf, rus, 4974Kb)
[2]	Kulesh M.A. and Shardakov I.N Application of wavelet-analysis for vibration-test of main engineering buildings (in Russian) // Book of abstracts of XII Winter School on Continuous Media Mechanics (25-31 January 1999, Perm). P. 205. Full text (pdf, rus, 1584Kb)
[3]	Matveenko V.P., Adamov A.A., Golotina L.A., Korepanov V.V., Kulesh M.A., Sudakov A.I., Sevodina N.V., Shardakov I.N. and Yurlova N.A Theoretical and experimental methods for estimation and optimization of structures motion (in Russian) // Summary reports of regional contest "Ural RFFI", Perm. P. 42-43 (2003). Full text (pdf, rus, 221Kb)
[4]	Kulesh M.A., Matveenko V.P. and Shardakov I.N The use of wavelet analysis for experimental data processing of engineer structure vibrodiagnostics (in Russian) // Proceedings of RAS, Problems of mechanical engineering and reliability. No. 6. P. 100-106 (2003). Full text (pdf, rus, 1065Kb)
[5]	Korepanov V.V., Kulesh M.A., Tsvetkov R.V., Shardakov I.N., Yurlov M.A. Investigation of influence of house footing strengthening on its vibratory behaviour (in Russian) // Proceedings of 15th Winter School on Continuous Media Mechanics, Ekaterinburg, UrO RAS. V. 2. P. 273-275 (2007). Full text (pdf, rus, 793Kb)
[6]	V.V. Korepanov, M.A. Kulesh, I.N. Shardakov The use of wavelet-analysis for the processing of experimental vibratory data: lecture course "Modern problems of mechanics" (in Russian) // Perm State University. P. 60 (2007). Full text (pdf, rus, 8828Kb)