Theoretical and experimental study on load sharing of a novel power split spiral bevel gear transmission

Jinfu Du,Guorui Zhao,Yahui Cui,Kai Liu,Jin Mao

doi:10.1177/1687814018779490

Abstract

A load sharing analysis methodology is proposed for a new type of power split spiral bevel gearing system based on the closed-loop characteristic of the power flow. First, the mechanical structure model and the moment equilibrium equations of the system are constructed, and then the deformation compatibility equations describing the relationship between the moment and the normal deformation of tooth surface are derived. Second, an accurate model for load sharing calculation of a one-input-two-output working condition is proposed, and a general formula for the simplified engineering load distribution calculation is derived. Finally, an experiment is designed to demonstrate the feasibility of this method. It is found that the measured tooth root strain ratio of the 1–2 and the 1–4 branches coincides with the theoretical analysis results. The proposed analysis and experimental method provides a new approach for analyzing the load distribution of the power split gear transmission with a closed-loop power flow.

Highlights

Power split gearing systems such as planetary, star, parallel shaft, and other forms of gear transmissions are widely used in the engines and reducers in aviation, marine, and automobile industries
The rationale of the power split technology is that the input torque to be transferred is split up into n branches, with each branch carrying only 1=n of the total input torque
Kij is viewed as the average meshing stiffness of the gear pair in this engineering calculation model, and it can be calculated by the Gleason simplified formula.[28]

Summary

Introduction

Power split gearing systems such as planetary, star, parallel shaft, and other forms of gear transmissions are widely used in the engines and reducers in aviation, marine, and automobile industries. The angular deformations (Df(0:1T1), Df(0:5T1), and Df(0:9T1)) of each gear pair under multiple torques (0:1T1, 0:5T1, 0:9T1) can be obtained through finite element calculation and the loaded tooth contact analysis (LTCA) developed by Zhang and Fang,[23] Fang,[24] Simon,[25] and Kolivand and Kahraman.[26] The equation of Kij(k), which is a function of Tij(k) is fitted.

Results

Conclusion