V.V. Narozhnov - Junior Research Scientist, Department of Mathematical Physics of Fractals, Research Institute of Applied Mathematics and Automation, Kabardino-Balkarian Scientific Center RAS (Nalchik). E-mail: narojnov.victor@gmail.com

Purpose of the present work is to develop a simulation model of a nonlinear oscillator at presence of elastic collisions. To perform this task an interactive tool for modeling, simulation and analysis of dynamical systems Simulink was selected, which is part of the software package MATLAB. This tool allows build graphical block diagrams, simulate dynamic systems, investigate performance systems, debug and improve them. In this paper the differential equation of a nonlinear oscillator in the presence of elastic collisions was derived, as well as algorithm of simulation of nonlinear oscillator using the program Simulink was developed and realized. Using the developed algorithm in the work a computational experiment was performed, which showed that on the oscillations given by an external force damped oscillations at a higher frequency are superimposed, which correspond to elastic collisions of the oscillator. The practical realization of the developed simulation model allows to create a fundamentally new technique for non-destructive diagnostics of viscoelastic properties of solids (metals, alloys, polymers, etc.).

 

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