Motion Equations of a Rigid Body with Two Elastic Rods

摘要

A mathematical model of a mechanical system consisting of a rigid body and two rigidly connected elastic straight rods located in the same plane is offered in this paper. The system rotates around the axis passing through the mass center of a rigid body and perpendicular to the plane of the rods. The rods are modeled by the Euler-Bernoulli beam. The mathematical model is an initial-boundary value problem for a hybrid system of differential equations. The cases of fast and slow rotations of the system are considered.