Method of Direct Separation of Motions Applied to a Non-ideal Electromechanical Pendulum System

Abstract

This paper uses the approach of Vibrational Mechanics (VM) performing the Method of Direct Separation of Motions (MDSM) for the analysis of a non-ideal rotor mechanism with a limited power source. We employ a modification of the method to study the governing equations of a non-ideally excited electromechanical pendulum system consisting of three masses (block, rotating, pendulum) and a DC motor. The mechanism has three degrees of freedom and we derive the main equations of the slow component of motion from the initial governing equations to allow for a derivation of analytical solutions in the stability domain. The paper focuses on a purely analytical approach.