Modelación de sistemas dinámicos de la mecánica clásica

Abstract

Dynamical systems are rooted in classical mechanics. Newton’s second law represented mathematically by an equation of motion or second-order differential equation models the time evolution of dynamical systems of classical mechanics consisting of one or more massive bodies subject to external forces. The treatment of dynamical systems of classical mechanics or mechanical systems for short, using the equation of motion and its corresponding solution, allows for the dynamic behavior of mechanical systems in time. To get the complete modeling of a mechanical system, in particular, is essential to obtain the solution of the equation of motion, either through analytical or numerical mathematical methods. However, analytical methods often require more complex mathematics used in numerical methods and more difficult to understand and apply to any dynamic system. For this reason, here we give preference to the development of numerical methods for solving the equation of motion that is very well suited to studying different mechanical systems modeled in this work and who suffer very little variation when is applied from a mechanical system to another.