Abstract
This paper studies the effect of a number of smooth nonlinear energy sinks (NESs) on the vibration mitigation of a rotor supported by journal bearings with nonlinear suspensions under mass eccentricity force. The NESs have a linear damping and an essentially nonlinear stiffness. Two NESs in the perpendicular directions are located on the bearing body. The equations of motion are derived and numerically solved. In order to optimize the parameters of the NESs, a genetic algorithm is utilized. For different values of the system parameters, periodic, two-periodic (2T) and qusai-periodic motions, occur in the system. It is shown that the NESs reduce effectively vibration of the rotor-bearing system in an operating speed range. However, the type of motion does not change in the most rotational speeds of rotor. Furthermore, for lower values of damping, the NESs demonstrate a high performance.
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Abbreviations
- c :
-
The radial clearance of the bearing
- c r , c 0, \( C_{nes} \) :
-
The dampings of rotor, bearing, and NES
- e :
-
The eccentricity of journal
- l :
-
The length of bearing
- m, m 0, m nes :
-
The masses of rotor, bearing, and NES
- K 1, K 2 :
-
The linear and nonlinear stiffnesses of the bearing foundation
- K nes :
-
The essentially nonlinear stiffness of NES
- K s :
-
The stiffness of rotating shaft
- X b , Y b :
-
The displacements of bearing along the X- and Y- directions, respectively
- X j , Y j :
-
The displacements of journal along the X- and Y- directions, respectively
- X n , Y n :
-
The displacements of NESs along the X- and Y- directions, respectively
- X r , Y r :
-
The displacements of rotor along the X- and Y- directions, respectively
- ɛ = e/c :
-
The dimensionless eccentricity of the journal
- (ϕ = ωt):
-
The rotational angle of the rotor
- μ :
-
The dynamic viscosity of oil
- θ :
-
The angle of minimum thickness of oil film
- ρ :
-
The mass eccentricity of the rotor
- ω :
-
The rotational speed of the rotor
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Bab, S., Khadem, S.E. & Shahgholi, M. Vibration attenuation of a rotor supported by journal bearings with nonlinear suspensions under mass eccentricity force using nonlinear energy sink. Meccanica 50, 2441–2460 (2015). https://doi.org/10.1007/s11012-015-0156-6
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DOI: https://doi.org/10.1007/s11012-015-0156-6