Equations of Motion of a Rigid Body with Two Elastic Rods

Abstract

In the paper we propose a mathematical model of a mechanical system consisting of a rigid body and two rigidly connected elastic straight rods located in the same plane. 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.

Keywords

• mathematical model
• mechanical system
• equations of motion
• solid
• elastic rod
• hybrid system of differential equations