Modeling and Optimizing the Turn of a Loaded Elastic Rod Controlled by an Electric Drive

Abstract

Abstract: In this study, we consider a flat rotation of an electric rectilinear rod controlled by an electric drive, loaded at the free end by a point mass. The problem is to optimally control the voltage in the motor’s winding, which transfers the system to the final state with the damping of the elastic vibrations. A generalized formulation of the equations of the rod’s state and a method for approximating unknown displacements, momentum density, and bending moment are proposed. The procedure for minimizing the objective functional and regularizing the numerical error is described.