Time-varying Mesh Stiffness Calculation and Dynamic Modeling of Spiral Bevel Gear with Spalling Defects

Keyuan Li; Baijie Qiao; Heng Fang; Xiuyue Yang; Xuefeng Chen

doi:10.37965/jdmd.2024.527

Authors

Keyuan Li School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, 710049, PR China; National Key Lab of Aerospace Power System and Plasma Technology, Xi’an Jiaotong University, Xi’an 710049, P.R. China
Baijie Qiao School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, 710049, PR China; National Key Lab of Aerospace Power System and Plasma Technology, Xi’an Jiaotong University, Xi’an 710049, P.R. China
Heng Fang School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, 710049, PR China; National Key Lab of Aerospace Power System and Plasma Technology, Xi’an Jiaotong University, Xi’an 710049, P.R. China
Xiuyue Yang School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, 710049, PR China; National Key Lab of Aerospace Power System and Plasma Technology, Xi’an Jiaotong University, Xi’an 710049, P.R. China https://orcid.org/0009-0007-9387-6667
Xuefeng Chen School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, 710049, PR China; National Key Lab of Aerospace Power System and Plasma Technology, Xi’an Jiaotong University, Xi’an 710049, P.R. China

DOI:

https://doi.org/10.37965/jdmd.2024.527

Keywords:

dynamic modeling; slice method; spalling; spiral bevel gear; time-varying mesh stiffness (TVMS)

Abstract

Time-varying mesh stiffness (TVMS) is a vital internal excitation source for the spiral bevel gear (SBG) transmission system. Spalling defect often causes decrease in gear mesh stiffness and changes the dynamic characteristics of the gear system, which further increases noise and vibration. This paper aims to calculate the TVMS and establish dynamic model of SBG with spalling defect. In this study, a novel analytical model based on slice method is proposed to calculate the TVMS of SBG considering spalling defect. Subsequently, the influence of spalling defect on the TVMS is studied through a numerical simulation, and the proposed analytical model is verified by a finite element model. Besides, an 8-DOF dynamic model is established for SBG transmission system. Incorporating the spalling defect into TVMS, the dynamic responses of spalled SBG are analysed. The numerical results indicate that spalling defect would cause periodic impact in time domain. Finally, an experiment is designed to verify the proposed dynamic model. The experimental results show that the spalling defect makes the response characterized by periodic impact with the rotating frequency of spalled pinion.

Conflict of Interest Statement

The authors declare no conflicts of interest.