• Vasyl Mostovyy Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
  • Serhii Toliupa Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
  • Anatolii Shevchenko Taras Shevchenko National University of Kyiv, Kyiv, Ukraine




monitoring system, seismic signal, seismic wave, seismo-acoustic monitoring, mathematical model


The article is devoted to the mathematical modeling approach of seismo-acoustic monitoring of objects and structures of sizes whose own frequencies and emission signals are from seismic and the bottom part of acoustic ranges.  The structural analysis and identification of dynamic parameters of such structures are extremely important in their monitoring to predict essential changes in dynamic characteristics. Moreover, the method of dynamic identification provides an opportunity to investigate the dynamic behavior of the given structure or source of signal origin by researching investigated objects' to study informative characteristics. The article enters methodology for identifying the main structural parameters, such as main intrinsic frequencies, and the decrement in these frequencies. Particular interest represents seismo-acoustic monitoring of objects with sources of emission signals whose parameters are subject to definition and are characteristic of structure or signal origin. Emissions can carry both irregular and regular character. The latter case can be modeled as a flow with the likelihood characteristics and subject definitions. The result of the analysis of the data received in seismo-acustic monitoring of such signals is reduced to an estimation of parameters of an emission signal, which fluctuates from a signal to a signal. A practical method for analyzing natural and man-made objects, whose natural frequencies lie in the seismic and lower part of the acoustic frequency ranges, based on monitoring their dynamics, is proposed. A new approach is proposed for identifying the state of such objects. A non-traditional model of the natural background of the monitored object is proposed in the form of a superposition of Berlage impulses. Such a model makes it possible to estimate such an essential parameter in the description of an object as its quality factor, the dynamics of which can give an idea of its structural changes. To predict the behavior of natural and engineering objects to prevent undesirable consequences of the behavior of the object under study, seismo-acoustic monitoring systems are used. The mathematical model and algorithm proposed by the authors can be integrated into the system of seismo-acoustic monitoring of natural and man-made objects.

Author Biographies

Vasyl Mostovyy, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

Dr. Sc., Professor

Serhii Toliupa, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

Dr. Sc., Professor

Anatolii Shevchenko , Taras Shevchenko National University of Kyiv, Kyiv, Ukraine



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