An Object-oriented Application for Analyzing Nonlinear Dynamic Systems with Hysteretic Behavior

The article presents the structure, interface and functionality of an object-oriented educational application for modeling and analysis of 1D nonlinear dynamic systems with hysteresis: oscillators with Dahl, Lu Gre friction elements, and with a rubber-metal shock absorber. Using the application, it is possible to study free and forced oscillations of nonlinear systems under kinematic disturbances. The nonlinear differential equations are solved by the Runge-Kutta and Adams-Bashfort methods. The modular structure of the object-oriented application makes it easy to expand the collections of nonlinear models and numerical methods for solving nonlinear differential equations.

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Publication Details

Journal
Vestnik MEI
Published
2024-12-25
DOI
https://doi.org/10.24160/1993-6982-2024-6-147-153
Primary Topic
Advanced Control Systems Optimization
Type
article
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article

An Object-oriented Application for Analyzing Nonlinear Dynamic Systems with Hysteretic Behavior

Elena V. Poznyak, Irina V. Medvedeva, Olga V. Novikova, Yu. B. Ivanova et al.
Vestnik MEI
Advanced Control Systems Optimization
article

An Object-oriented Application for Analyzing Nonlinear Dynamic Systems with Hysteretic Behavior

Elena V. Poznyak, Irina V. Medvedeva, Olga V. Novikova, Yu. B. Ivanova, Valeryan Tsoy, Tatyana Stenina
article en

Abstract

The article presents the structure, interface and functionality of an object-oriented educational application for modeling and analysis of 1D nonlinear dynamic systems with hysteresis: oscillators with Dahl, Lu Gre friction elements, and with a rubber-metal shock absorber. Using the application, it is possible to study free and forced oscillations of nonlinear systems under kinematic disturbances. The nonlinear differential equations are solved by the Runge-Kutta and Adams-Bashfort methods. The modular structure of the object-oriented application makes it easy to expand the collections of nonlinear models and numerical methods for solving nonlinear differential equations.

Vestnik MEI(6)
Openalex Percentile: Top 69%
Advanced Control Systems Optimization
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