The Centrodes Relevance for the Kineto-Dynamic Analysis of the Parabolic Rigid-Body Motion

This paper is aimed to show the relevance of the centrodes for the kineto-dynamic analysis of the parabolic rigid-body motion in the vertical plane. In particular, the instant center of rotation and the acceleration pole are determined along with their corresponding vector fields. Consequently, the fixed and moving centrodes are achieved in order to reproduce and simulate the parabolic rigid-body motion by means of their pure-rolling contact. The inflection circle is also derived by kinematic properties only, since the acceleration pole coincides with the inflection pole, which is opposite to the instant center of rotation. A suitable algorithm has been formulated and validated by significant examples.