Abstract
An analytic dynamics model was presented for the three-stage planetary transmission in the pitch control reducer for MW wind turbine based on the lumped-parameter method. The mechanical characteristic of the contact components was analyzed using the stiffness factor method. All the stiffness sub-matrices were combined to form the overall stiffness matrix of the three-stage transmission. According to the analytic model and the parameters of the pitch control gearbox, the movement differential equations were solved to investigate the natural frequencies and the vibration modes. Then, the undamped and damping forced vibration response were studied. A test rig was set up to measure the vibration displacement of the ring at the second stage and the output shaft under the nominal load condition, the comparison of the analytic forced vibration response with the experimental results validates the effectiveness of the lumped-parameter dynamics model for the pitch control reducer. This paper provides a reference for the dynamics optimization of multistage planetary transmission.
Highlights
Planetary gear is an effective power transmission which has high torque-weight ratio, large speed reduction in compact volume and co-axial shaft arrangement
Parker [16, 17] proposed finite element contact method to research the vibration of planetary gear, proving that the dynamic response is sensitive to the lower order vibration modes, but this finding need further experimental validation in order to study other gear system with the sensitive stiffness model
An analytic lumped-parameter dynamics model was established for the gearbox of MW wind turbine pitch control
Summary
Planetary gear is an effective power transmission which has high torque-weight ratio, large speed reduction in compact volume and co-axial shaft arrangement They are widely used in the automotive transmission, aircraft engine, pitch control and yaw drive in wind turbine. Kahraman [2, 3] investigated the dynamic property of planet transmission for single stage using pure torsion vibration model, which involves translation and rotation degree of freedom. Parker [16, 17] proposed finite element contact method to research the vibration of planetary gear, proving that the dynamic response is sensitive to the lower order vibration modes, but this finding need further experimental validation in order to study other gear system with the sensitive stiffness model. A vibration experiment is accomplished to verify the dynamics model
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