Problems of safety and modeling of dynamics of vehicles and systems on the basis of Appell's equations

摘要

To improve safety in transport, exact mathematical models of transport systems are required. The technique of simulation of exact differential equations of mechanical systems is considered, which makes it possible to compile mathematical models of both systems of transportable bodies and transport objects whose motion is determined and depends on wearable systems moving in a certain prescribed manner. The technique is based on Appell's equations and requires a multiple calculation of the kinetic energy and energy of the system's accelerations in a given position for different values of generalized velocities and accelerations. Computer computation of these functions is not difficult even in the study of very complex systems of solids.