Article

Received 20.02.2025

Revised 27.05.2025

Accepted 24.06.2025

Retrieved from Iss. 117, P. 2, 2025

Pages 420 -429

Loza, I., Melnik, V., Soloviov, I., & Khudolii, S. (2025). COMPLEX ROTATION OF A THIN-WALLED SINGLE SUPPORT ROTOR ON AN ELASTIC SHAFT. Automobile Roads and Road Construction, (117.2), 420-429. https://doi.org/10.33744/0365-8171-2025-117.2-420-429

COMPLEX ROTATION OF A THIN-WALLED SINGLE SUPPORT ROTOR ON AN ELASTIC SHAFT

Igor Loza Vsevolod Melnik Ihor Soloviov Serhiy Khudolii

The rotors of modern aircraft are usually created through a combination of elastic shafts, thin-walled disks, shells and thin twisted blades. Features of the dynamic behavior of elastic rotating systems are associated with the fact that their elements, when oscillating, simultaneously participate in various types of movements and are affected by positional inertia forces, depending on the location of the element, and gyroscopic inertia forces, caused by the interaction of rotational and linear components of motion. The assumption allows us to search for a solution in two stages. At the first stage, the rotor performs a simple rotation around its axis of symmetry with a constant angular velocity in absolute value. At the second stage, caused by a flat forced slewing of the axis of rotation, inertial forces act on the rotor elements, exciting small precessional vibrations of the shell relative to the initial stressed state. In the process of solving the problem, the rotor is conditionally divided into individual components of the shell. For each part a system of linear differential equations is solved using the method of initial parameters, and partial solutions of the equations are found by the fourth order Runge–Kutta method, a modified orthogonalization procedure is additionally applied. The initial conditions for each shell are determined by the boundary conditions and equations of conjugation of adjacent shell elements at the branching points. Analysis of the results obtained indicates the possibility of the emergence of resonant modes of periodic movements. It has been established that this rotor has two resonant modes of motion, and the frequencies of these modes have been found. It is shown that in the vicinity of resonant angular velocities, the total gyroscopic moment acting in the case of complex rotation from the elastic rotor on the supporting body can differ significantly from the corresponding moment found for a rigid body geometrically equivalent to the rotor

thin-walled rotor, complex rotation, precession vibrations, resonance, stress-deformed state, compound shells
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https://doi.org/10.33744/0365-8171-2025-117.2-420-429