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2_2025_sen_2

Title of the article DYNAMICS OF A RIGID BODY MOVING ON AN ELASTIC BASE WITH A SINGLE POINT OF CONTACT
Authors

MERKURYEV Igor V., D. Sc. in Eng., Prof., Head of the Department of Robotics, Mechatronics, Dynamics and Machine Strength, National Research University “Moscow Power Engineering Institute”, Moscow, Russian Federation, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

NAIM Muhannad, Postgraduate Student, National Research University “Moscow Power Engineering Institute”, Moscow, Russian Federation, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

SAYPULAEV Gasan R., Ph. D. in Eng., Associate Professor of the Department of Robotics, Mechatronics, Dynamics and Machine Strength, National Research University “Moscow Power Engineering Institute”, Moscow, Russian Federation, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.
In the section DYNAMICS, DURABILITY OF VEHICLES AND STRUCTURES
Year 2025
Issue 2(71)
Pages 15–21
Type of article RAR
Index UDK 539.384.2
DOI https://doi.org/10.46864/1995-0470-2025-2-71-15-21
Abstract The paper considers the dynamics of a body moving along an elastic beam. The aim of the work is mathematical modeling of the dynamics of the “solid body — elastic beam” system, taking into account the force interaction of these bodies at one point of contact. Based on the Euler–Bernoulli beam theory and general dynamics theorems, partial differential equations of motion of the “solid body — elastic beam” system are constructed. Using the Bubnov–Galerkin method, ordinary differential equations (ODEs) for the weight coefficients of the approximate solution of the partial differential equation are obtained. Based on the results of numerical integration of the ODE, the dependences of the deflection and the angle of rotation of the elastic beam cross section on time are obtained. Unlike the previously used models, the developed model makes it possible to take into account the effect of the force action of a moving solid on the bending of the elastic beam. The results of the work can be used in the design and manufacture of new transport systems.
Keywords dynamics, bending, elastic beam, Bubnov–Galerkin method, Euler–Bernoulli beam
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