Articles | Volume 12, issue 2
Mech. Sci., 12, 1105–1113, 2021
Mech. Sci., 12, 1105–1113, 2021

Research article 20 Dec 2021

Research article | 20 Dec 2021

Precise mathematical model for the ratchet tooth root bending stress

Chao Liu et al.

Related subject area

Subject: Mechanisms and Robotics | Techniques and Approaches: Mathematical Modeling and Analysis
Kinematic and dynamic analysis of an omnidirectional mobile platform driven by a spherical wheel
Luis Daniel Filomeno Amador and Eduardo Castillo Castañeda
Mech. Sci., 13, 31–39,,, 2022
Short summary
Kinematic and dynamic accuracy of spherical mechanisms
Dinh Tung Vo, Sergey Kheylo, and Van Quoc Nguyen
Mech. Sci., 13, 23–30,,, 2022
Short summary
Design and analysis of a six-wheeled companion robot with mechanical obstacle-overcoming adaptivity
Zhen Song, Zirong Luo, Guowu Wei, and Jianzhong Shang
Mech. Sci., 12, 1115–1136,,, 2021
Short summary
Swing control for a three-link brachiation robot based on sliding-mode control on irregularly distributed bars
Zhiguo Lu, Guoshuai Liu, Haibin Zhao, Ruchao Wang, and Chong Liu
Mech. Sci., 12, 1073–1081,,, 2021
Short summary
Analysis and compensation control of passive rotation on a 6-DOF electrically driven Stewart platform
Qitao Huang, Peng Wang, Bowen Li, and Qingjun Yang
Mech. Sci., 12, 1027–1036,,, 2021
Short summary

Cited articles

Bangchun, W.: Handbook of Mechanical Design, China Machine Press, Beijing, ISBN 978-7-111-29225-8, 2010. 
Cheng, L., Wenku, S., Zhiyong, C., Wei, H., Rusong, R., and Huailan, S.: Experiment on tooth root bending stress of driving axle hypoid gear of automobile, Journal of Jilin University (Engineering and Technology Edition), 47, 344–352,, 2017. 
Da, X. and Chongxian, J.: Structure and Design of Special Vehicle, Beijing Institute of Technology Press, Beijing, ISBN 7-81045-492-7, 1998. 
Datong, Q. and Lingyun, X.: Handbook of Mechanical Design, Chemical Industry Press, Beijing, ISBN 978-7-122-08712-6, 2011. 
Daxian, C.: Handbook of Mechanical Design, Chemical Industry Press, Beijing, ISBN 978-7-122-01408-5, 2008. 
Short summary
In this paper, we use the folded section hypothesis to determinate the ratchet tooth root bending stress and provide a normal mathematical model to calculate it. This model has been proved by the finite element analysis method and the ratchet experiment. It is recommended that this model be used to predict the ratchet tooth root bending stress in the ratchet design process.