K.D. Stepanov1, O.V. Druzhinina2, A.A. Petrov3

1,2 Russian University of Transport (MIIT) (Moscow, Russia)

2 FRС «Computer Science and Control» of Russian Academy of Sciences (Moscow, Russia)

3 Bunin Yelets State University (Yelets, Russia)

1 sksteps@mail.ru; 2ovdruzh@mail.ru; 3xeal91@yandex.ru

The direction associated with the construction and research of models that can be used to predict the impact of vibration effects of vehicles on surrounding infrastructure facilities is relevant given the increasing pace of civil engineering in large cities and taking into account the expansion of transport networks. The development of models for evaluating vibration effects and for subsequent use in monitoring and diagnostic systems requires the use of modern methods of nonlinear analysis, discrete mathematics, as well as tools for the development of expert systems and artificial intelligence technologies. The purpose of the article is to obtain the results of the analysis of a complex mathematical model of spatial interactions, the development of algorithmic support and a description of the structure of a software package for assessing the impact of vibration effects of vehicles on urban infrastructure. A model of spatial interactions is proposed to assess the levels of vibration exposure with the construction of a graph of the placement of objects connected by vibration propagation channels and using the mathematical apparatus of modeling hybrid dynamic systems, expert knowledge and fuzzy rules of logical inference. Examples of constructing a model of spatial interactions taking into account three objects of vibrational observation are considered. The VibCalcAlg algorithm has been developed to calculate the states of a three-component model. The structure of the VibCalc software package is described, which includes a block of fuzzy logic, a block of model construction and a block of visualization. The results can be used in solving mathematical modeling problems related to the assessment and prediction of vibration impacts in the field of transport and civil engineering, as well as in solving environmental protection problems. The results are aimed at improving intelligent monitoring systems and decision support systems in the design, construction and operation of transport facilities.

Stepanov K.D., Druzhinina O.V., Petrov A.A. Analysis of models and development of a software package for assessing the impact of vibration effects of vehicles on urban infrastructure. Nonlinear World. 2024. V. 22. № 1. P. 5-14. DOI: https://doi.org/10.18127/ j20700970-202401-01 (In Russian)

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