Analysis and Calculation of Double Circular Arc Gear Meshing Impact Model

Li Yang*, 1, 2, Wu Bao-lin1, Zhu Lin-lin1
1 Department of Mechanical Engineering, Tianjin Polytechnic University, Tianjin 300387 China
2 Department of Mechanical and Electrical Engineering, Qingdao Technological University (Lin Yi), Linyi 273400 China

© 2015 Yang et al

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: ( This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.


The goal of this study is to propose a new theoretical approach for the analysis of the impact of the double circular arc gear meshing. The gear meshing impact dynamic model for four different meshing states was firstly built in the gear system. According to the mechanical dynamics and dynamics of the gear system, the reasons for the meshing impact and the impact type of double-circular-arc gear were analyzed in the paper. The content of the paper covers: (i) analysis of the mechanism of meshing impact; (ii) the practical meshing impact process; (iii) establishment of meshing impact model; (iv) solution of the meshing impact radius; (v) calculation of the meshing impact force in theory. The reverse method and the graphing method were used to determine the starting positions of impact and its coordinate formulas were built. Formula of impact velocity, impact force and impact radius were also established. Impact force is calculated with formulas constructed above. This paper’s target is quite innovative and applicable and the paper gives a new way for double circular arc gear meshing impact research.

Keywords: Double circular arc gear, impact force, impact velocity, meshing impact model.