Analytical solution of direct dynamics problem in cylindrical coordinates

Abstract

In this study, the analytical solution of the direct dynamics problem that mostly requires some numerical techniques is developed for two important cases. In the first case, two coupled differential equations of the motion of a particle acted upon by the constant radial force F-r and tangential force F-theta are solved. The analytical solution for the case of variable radial force F-r = -kr and the constant tangential force F-theta is considered as a second stage. The present method is applied to some practical engineering problems.