Mathematical modeling and computer-aided simulation of mechanical systems with multiple degrees of freedom

Abstract

The vast majority of phenomena and processes in nature for which computer-assisted simulation is of scientific and methodical-didactic interest, from a mathematical point of view, are described by systems of differential equations of the second order. In this context, the paper describes and implements in the Object Pascal programming language an original algorithm for the numerical solution of systems of differential equations of the second order. Interactive simulation applications are made in the Delphi programming environment (FMX variant). Based on the examples, described in detail in the paper, users can perform interactive simulation activities for any processes, which from a mathematical point of view are described by systems of differential equations of the second degree.