Vibration from a shaft-bearing-plate system due to an axial excitation of helical gears |
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Authors: | Chan IL Park |
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Affiliation: | (1) Department of Precision Mechanical Engineering, Kangnung National University, 210-702 Gangneung, Gangwon-do, Korea |
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Abstract: | In this paper, a simplified model is studied to predict analytically the vibration from the helical gear system due to an
axial excitation of helical gears. The simplified model describes gear, shaft, bearing, and housing. In order to obtain the
axial force of helical gears, the mesh stiffness is calculated in the load deflection relation. The axial force is obtained
from the solution of the equation of motion, using the mesh stiffness. It is used as a longitudinal excitation of the shaft,
which in turn drives the gear housing through the bearing. In this study, the shaft is modeled as a rod, while the bearing
is modeled as a parallel spring and damper only supporting longitudinal forces. The gear housing is modeled as a clamped circular
plate with viscous damping. For the modeling of this system, transfer matrices for the rod and bearing are used, using a spectral
method with four pole parameters. The model is validated by finite element analysis. Using the model, parameter studies are
carried out. As a result, the linearized dynamic shaft force due to the gear excitation in the frequency domain was proposed.
Out-of-plan displacement from the forced vibrating circular plate and the renewed mode normalization constant of the circular
plate were also proposed. In order to control the axial vibration of the helical gear system, the plate was more important
than the shaft and the bearing. Finally, the effect of the dominant design parameters for the gear system can be investigated
by this model. |
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Keywords: | Helical Gear Circular Plate Vibration Spectral Method Receptance Method |
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