, A HYBRID SYSTEM OF DIFFERENTIAL EQUATIONS DESCRIBING A RIGID BODY ATTACHED TO TWO ELASTIC RODS // BSU Bulletin. Mathematics, Informatics. - 2022. №4. . - С. 38-47.

A HYBRID SYSTEM OF DIFFERENTIAL EQUATIONS DESCRIBING A RIGID BODY ATTACHED TO TWO ELASTIC RODS

DOI: 10.18101/2304-5728-2022-4-38-47 UDK: 519.62, 519.63

In this paper, we consider the construction of a mathematical model for a mechanical system, which is a rigid body attached to two Euler-Bernoulli beams. Dy- namic equations were obtained using the variational principle of Hamilton- Ostrogradsky. The mathematical model is presented in the form of a hybrid system of differential equations, for which the possibility of using a unified approach to the study of free vibrations, proposed in the study of systems of solids attached to one rod, is discussed.

solid, Euler-Bernoulli beam, equilibrium position, hybrid system of dif- ferential equations.