Abstract

The planetary gear transmission with double moduli and pressure angles gearing is proposed for meeting the low weight high reliability requires. A dynamic differential equation of the NGW planetary gear train system with double and pressure angles is established. The 4-Order Runge-Kutta numerical integration method is used to solve the equations from which the result of the dynamic response is got. The dynamic load coefficients are formulated and are compared with those of the normal gear train.The double modulus planetary gear transmission is designed and manufactured. The experiment of operating and vibration are carried out and provides.

Highlights

  • Planetary gear train is widely used in the helicopters, automobiles, aircraft engines and ships

  • The dynamic responses of a planetary gear are analyzed when component gears have time-varying pressure angles and contact ratios caused by bearing deformations [6]

  • A nonlinear lateral–torsional coupled vibration model of a planetary gear system was established by taking transmission errors, time varying meshing stiffness and multiple gear backlashes into account [9]

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Summary

Introduction

Planetary gear train is widely used in the helicopters, automobiles, aircraft engines and ships It has numerous advantages in size, weight, gear ratio, efficiency and load capacity. A nonlinear time-varying dynamic model is proposed to predict modulation sidebands of planetary gear sets [2]. In [7] a dynamic differential equation of the NGW planetary gear train system with unequal moduli and pressure angles is established. In [8] the nonlinear dynamic model of one planetary gear transmission is set and the experiment is carried out. A nonlinear lateral–torsional coupled vibration model of a planetary gear system was established by taking transmission errors, time varying meshing stiffness and multiple gear backlashes into account [9]. A dynamic differential equation of the NGW planetary gear train system with double moduli and pressure angles gearing is established.

System parameters
Dynamics model of planetary gear system
Solution of dynamically differential equation
Experimental verification
Conclusions
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