Abstract
Abstract. The paper considers an impact of viscous linear and cubic nonlinear damping of the elastic support on nonlinear vibrations of a vertical hard gyroscopic unbalanced rotor, taking into account nonlinear stiffness of the support material. Analyzing the research results shows that linear and cubic nonlinear damping can significantly suppress the resonance peak of the fundamental harmonic, eliminate the jumping phenomena of the nonlinear system. In non-resonance areas where the velocity is higher than the critical one, cubic nonlinear damping, unlike linear one, can slightly suppress amplitude of the rotor vibration. Therefore, in the high-velocity area, only nonlinear damping can maintain performance of a vibration isolator. In resonance area, an increase in linear or cubic nonlinear damping significantly suppresses the ability to absolute displacement. In non-resonance area, where the rotational velocity is lower than the critical one, they have almost no impact on ability to absolute displacement. In high velocity area, an increase in nonlinear damping may slightly increase the moment of force transmissibility, but linear damping has almost no impact on it. The obtained results can be successfully used to produce passive vibration isolators used for damping the vibrations of rotary machines, including gyroscopic ones.
Highlights
As you know, the rotary machines are widely used in many industries and have been studied for a long time
The following conclusions can be drawn based on the analysis and discussion of the research results: The impact of an elastic bearing material with linear viscous damping and with cubic non-linear viscous damping on www.mech-sci.net/10/529/2019/
The equations of motion of the rotor were solved by the harmonic balance method, and the expressions of amplitudefrequency and phase-frequency characteristics of the fundamental harmonic and the expression for determining the moment of force transmissibility of the system were obtained
Summary
The rotary machines are widely used in many industries and have been studied for a long time. The paper (Peng et al, 2012) considers an efficiency of passive vibration isolators with linear damping and cubic nonlinear damping in resonance and non-resonance vibration areas of the system with linear stiffness. The papers (Iskakov, 2015, 2017a, b) researched impacts of quadratic nonlinear damping on the resonance vibrations and stability of the vertical gyroscopic unbalanced rotor with quadratic and cubic nonlinear stiffness of an elastic support. This paper is aimed at researching an impact of the material of the elastic bearing support with linear and cubic nonlinear damping on the main resonance curve and the moment of force transmissibility of the gyroscopic vertical hard unbalanced rotor, taking into account the nonlinear stiffness of the support
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