Investigation of Parametric Oscillations of a Rigid Rotor on Elastic Supports
S. N. Tsarenko, Ye. A. Golovanev
FSBEI HE «Kamchatka State Technical University»
Abstract: The paper studies the dynamics of a rigid rotor on elastic supports for the case of a variable moment of inertia in the transverse direction. The mathematical model of the rotor is represented by a system of differential equations with variable coefficients. The calculated dependences are presented using dimensionless quantities. The solution of the system of equations is obtained numerically by the Adams method. For the special case of a rotary system, when the moment of inertia is constant, an analytical solution has been found. The calculation results for the two models are compared. It has been established that there may be cases of parametric resonance at frequencies that are significantly lower than the natural oscillation frequencies. A condition has been obtained under which it is possible to replace elastic supports with absolutely rigid ones. The simulation results for the linear and nonlinear formulation of the problem showed a similar behavior of displacement functions in the frequency range up to the first natural frequency, with the exception of parametric resonance zones.
Keywords: rotary dynamics, dynamic loads, laboratory bench, vibrations of elastic systems, parametric vibrations, resonance.
Pages: 26-31.
Link for citation: Tsarenko, S. N.; Golovanev, Ye. A. Investigation of Parametric Oscillations of a Rigid Rotor on Elastic Supports. – Text : electronic. – In: Proceeding of the Donbas National Academy of Civil Engineering and Architecture. – 2024. – Issue 2024-3(167) Buildings and structures using new materials and technologies. – Р. 26-31. – URL: https://donnasa.ru/publish_house/journals/vestnik/2024/2024-3(167)/st_05_tsarenko_golovanev.pdf (date of access: 15.10.2024). (in Russian)
Issue 2024-3 (167)Journal: Proceeding of the Donbas National Academy of Civil Engineering and Architecture
Publish house: Donbas National Academy of Civil Engineering and Architecture