Modeling of constrained motion
Articles
Vytautas Kleiza
Vytauto Magnus University
Rima Šatinskaitė
Vytauto Magnus University
https://orcid.org/0000-0001-6794-2615
Published 2021-12-20
https://doi.org/10.15388/LMR.2021.25225
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Keywords

mathematical model
nonlinear differential equation
constrained motion
gravitation force
energy dissipation

How to Cite

Kleiza V. and Šatinskaitė R. (2021) “Modeling of constrained motion”, Lietuvos matematikos rinkinys, 62(B), pp. 43-49. doi: 10.15388/LMR.2021.25225.

Abstract

This paper presents an investigation of modeling and solving of differential equations in the study of mechanical systems with holonomic constraints. The 2D and 3D mathematical models of constrained motion are made. The structure of the models consists of nonlinear first or second order differential equations. Cases of free movement and movement with resistance are investigated. Solutions of the Cauchy problem of obtained differential equations were obtained by Runge–Kutta method.

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