Visualization of the results of mathematical modeling of dynamic processes in mobile power facilities

To analyze, evaluate and demonstrate the behavior of created mathematical models of complex dynamic objects, developers often have to use graphic materials, which are very complex and uninformative. Modern software mathematical packages allow not only to solve systems of differential equations describing the behavior of objects but also to create animated representations of these processes. To do this, the MathCAD environment has a system variable FRAME, the value of which can vary from 0 to 999. This variable allows to alternately refer to the lines of the stored matrix of the numerical solution of systems of differential equations and display the new states of the elements of the analyzed dynamic system, with a simultaneous time-lapse recording of these displays. To represent real modeling objects on two-dimensional graphs, from which the animation is formed, various geometric primitives are drawn: squares, rectangles, and circles with different degrees of freedom. Function prototypes are formed to create matrices for representing these primitives. The geometric parameters or the position of the representation matrices are rigidly associated with the elements in the row of the numerical solution matrix pointed to by the FRAME system variable. The result of using this variable is an animated representation that demonstrates the behavior of objects and allows you to quickly identify errors made in the simulation. In this article, on the example of the analysis of the behavior of the structural elements of the mobile power facilities when moving through a single roughness of a given shape, the technique of creating an animation of the described process is shown. The problem of finding a numerical solution of systems of differential equations by the Runge-Kutta method of the 4th order in MathCAD mathematical package is also considered.

mathematical modeling, visualization, dynamic process, oscillations