Effect of Tooth Profile Modification on Dynamic Tooth Load of Planetary Gear Train

Yanfang Liu,Xiangyang Xu,Junbin Lai,Jiaming Zhou,Fengyan Yi,Peng Dong

doi:10.1155/2019/8156971

Abstract

This paper aims at investigating the effects of tooth profile modification (TPM) on the dynamic response of planetary gear train (PGT). A numerical model is carried out to calculate two major excitation sources of PGT, time-varying mesh stiffness (TVMS), and transmission errors (TEs). On this basis, a linear time-varying dynamic model of a PGT considering TVMS, TEs, and TPM is developed. Dynamic deviation factor is further introduced to describe the dynamic response of the PGT. In this paper, TPM is only applied to the external meshes firstly. Effects of TPM parameters, such as amount of TPM, normalized modification angle, and modification curve, on the excitation sources and dynamic response of the PGT are discussed in detail. Subsequently, investigation on the effects of TPM only applied to internal meshes is conducted. Finally, with the aim to obtain the optimal TPM for the minimization of dynamic load of PGT in both external and internal gear meshes, the genetic algorithm (GA) is employed. This research may shed light upon design optimization of PGT with respect to improvement of vibration performance by means of optimized TPM.

Highlights

Due to the advantages of large torque-to-weight ratio, compactness, high transmission efficiency, and reduced noise and vibration, planetary gears are widely used in automotive transmission, aerospace, wind turbine, and marine vehicle
Noise and vibration still remain a critical issue caused by the manufacturing errors, alignment errors, and tooth deformations. e excitations influencing the noise and vibration of planetary gears can be categorized into two groups: external excitation sources from variation of applied torque and input speed and internal excitation sources from time-varying mesh stiffness (TVMS) and transmission errors (TEs)
Emphasizing on tooth profile modification (TPM) applied in spur gear, previous studies draw a general conclusion that minimum fluctuation of the loaded static transmission error (LSTE) results in optimal dynamic response

Summary

Introduction

Due to the advantages of large torque-to-weight ratio, compactness, high transmission efficiency, and reduced noise and vibration, planetary gears are widely used in automotive transmission, aerospace, wind turbine, and marine vehicle. E excitations influencing the noise and vibration of planetary gears can be categorized into two groups: external excitation sources from variation of applied torque and input speed and internal excitation sources from time-varying mesh stiffness (TVMS) and transmission errors (TEs). Emphasizing on TPM applied in spur gear, previous studies draw a general conclusion that minimum fluctuation of the LSTE results in optimal dynamic response. By incorporating the TVMS and transmission error model into the dynamic model of the PGT system, a comprehensive dynamic model including tooth profile modification can be obtained According to this model, effects of TPM parameters on the dynamic response of the PGT system for external and internal meshes can be studied.

Model of PGT considering TPM

Evaluation and Optimization of PGT

Results and Discussions