Dynamic Modelling Considering Nonlinear Factors of Coupled Spur Gear System and Its Experimental Research

Yulai Zhao,Qingkai Han,Xicheng Xin,Shuanghe Yu,Hui Ma,Yang Liu

doi:10.1109/access.2020.2991674

Yulai Zhao, Qingkai Han + Show 4 more

Open Access

https://doi.org/10.1109/access.2020.2991674

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Journal: IEEE Access	Publication Date: Jan 1, 2020
Citations: 9	License type: CC BY 4.0

Affiliation: Northeastern University, Weichai Power (China)

Abstract

For the nonlinear vibration problem of spur gear transmission system caused by friction and gear backlash, the dynamic model of gearbox with 16-degree-of-freedom (16-DOF) considering time-varying meshing stiffness is established by Lagrange equation. The dynamic equations of the gear system are solved by the Newmark-β method. The effects of friction coefficient, error fluctuation and meshing stiffness on the vibration response are investigated. In order to verify the validity of the model, a spur gear transmission rotor test bench was built by simulating the actual working conditions. The root mean square (RMS) is used to verify the accuracy of the model at multiple speeds, and makes up for the shortcomings of many researches without experimental argumentation. The experimental research can provide a reference for the research of gear transmission system.

Highlights

The application range of the gear rotor system is very wide
The nonlinear vibration characteristics have become one of the hot topics in the research of the machinery industry [1]–[3]. It is of great scientific significance and application value to research the nonlinear vibration of gear transmission system by reliable dynamic modelling
The contribution of this paper is to present an effective 16-degree-of-freedom (16-DOF) gears model. Scholars can use this model, or combine it with engineering data to study the dynamics of a class of gear systems

Summary

INTRODUCTION

The application range of the gear rotor system is very wide. It plays an important role in the metallurgy, aerospace, chemical industry, electric power system, and machinery manufacturing. In order to better guide engineering practice, researchers need to consider the combined effects of system factors such as friction coefficient [15], meshing stiffness and bending-torsional coupling vibration [16], as well as pitting, spalling and cracking [11], [17], and thermo-structural coupling [18]–[20], on the gear system. This need to create a more reliable gear transmission system model to better explain the complex nonlinear phenomena [21]–[22]. Scholars can use this model, or combine it with engineering data to study the dynamics of a class of gear systems

DYNAMIC MODEL OF GEAR ROTOR BEARING SYSTEM

GEAR ROTATION CENTER POSITION

EXPERIMENTAL VERIFICATION

DISCUSSION

CONCLUSIONS