Testing safety factor of flexible gear rim in harmonic gear drive by the finite element method

Authors

Keywords:

Harmonic drive, Flex-spline, FEM, External force, Transposition, Safety factor

Abstract

In wave transmission, the flexible gear (flex-spline) is a complex stage that has a decisive effect on the working capacity and durability of the transmission. In the absence of finite element software, the Russians came up with formulas to determine the factor of safety for flexible gears. The question is how this coefficient will change when using finite element software. This paper has the purpose of determining the external force acting on the flexible gear rim by performing an estimate to calculate the external force, then using this mechanical and external force to specify the safety factor of the flexible gear on the finite element software. The insignificant differences between the traditional calculation and the modern calculation suggest the reliability of both. Nowadays, with the wide applications of industrial robots, the harmonic drive is very common, in which the problem mentioned here is one of the key points of design.

References

Wallace Bentley, “Sketches of Engine and Machine Details: A Reference Book for the Use of Engineers, Draughtsmen, and Mechanics, and a Text Book for Machine Construction and Drawing Classes”, Forgotten Books, ISBN13 9781330582923 (2018).

Yague-Spaude Eloy, Gonzalez-Perez Ignacio, Fuentes-Aznar Alfonso, “Stress analysis of strain wave gear drives with four different geometries of wave generator”, Meccanica, Springer Netherlands, DOI: 10.1007/s11012-020-01248-5 (2020).

F. C. Park and K. M. Lynch, “Introduction to robotics: mechanics, planning, and control”, Springer, ISSN: 05849667, (2014).

Paweł Weroński, Yi Jiang, Steen Rasmussen, “Application of molecular dynamics computer simulations in the design of a minimal self-replicating molecular machine”, Complexity, John Wiley and Sons, Volume 13, Issue 4, DOI: 10.1002/cplx.20212 (2008).

Li Shuting, “Diaphragm stress analysis and fatigue strength evaluation of the flex-spline, a very thin-walled spur gear used in the strain wave gearing”, Mechanism and Machine Theory Volume: 104 Issues: 1-16, Elsevier Science, DOI: 10.1016/j.mechmachtheory.2016.05.020, (2016).

Suk-Hwan Suh, Seong-Kyoon Kang, Dae-Hyuk Chung, Ian Stroud, “Theory and Design of CNC Systems”, Springer, DOI 10.1007/978-1-84800-336-1 (2008).

Yongshun Zhao; Xingquan Zhang; Xianbing Liu; Kazuo Yamazaki, “Geometric modeling of the linear motor driven electrical discharge machining (EDM) die-sinking process”, International Journal of Machine Tools and Manufacture, Elsevier Science, DOI: 10.1016/j.ijmachtools.2003.09.003 (2004).

Narayanan, G. Sankara, Vasudevan, Durairaj, “A Mathematical Model for Wire Cut Electrical Discharge Machine Parameters Using Artificial Neural Network”, Advanced Materials Research, DOI: 10.4028/www.scientific.net/AMR.984-985.9 (2014).

Nguyễn văn Phái, Vũ văn Khiêm, “Phương pháp phần tử hữu hạn thực hành trong cơ học”, Nhà xuất bản Giáo Dục, (2001).

T. Strouboulis, K. Copps, I. Babuška, “The generalized finite element method: an example of its implementation and illustration of its performance”, International Journal for Numerical Methods in Engineering, Volume 47, Issue 8, DOI: 10.1002/(sici)1097-0207(20000320)47:8<1401::aidnme835>3.0.co;2-8 (2000).

Nguyễn Văn Phái, “Giải bài toán cơ kỹ thuật bằng chương trình Ansys”, NXB khoa học và kĩ thuật, (2003).

Đinh Bá Trụ, “Hướng dẫn sử dụng Ansys, chương trình phần mềm thiết kế mô phỏng bằng phương pháp phần tử hữu hạn”, NXB khoa học và kĩ thuật, (2000).

“Ansys và mô phỏng số trong công nghiệp bằng phần tử hữu hạn” - NXB khoa học và kĩ thuật, (2003).

G. Pintaude; F.G. Bernardes; M.M. Santos; A. Sinatora; E. Albertin, “Mild and severe wear of steels and cast irons in sliding abrasion”, Wear, Elsevier Science, Volume 267, Issue 1-4, DOI: 10.1016/j.wear.2008.12.099 (2009).

Heng Liang Zhang; Z. J. Zhang, “On-line calculation models of temperature and thermal stresses in a 2-D axis-symmetric object during heat treating”, Heat Transfer - Asian Research, John Wiley and Sons, Volume 40, Issue 6, DOI: 10.1002/htj.20359 (2011).

S. P. Srivastava, “Developments in Lubricant Technology (Srivastava/Developments in Lubricant Technology): Lubrication, Friction, and Wear”, Volume 10.1002/9781118907948, DOI: 10.1002/9781118907948.ch6 (2014).

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Published

01-10-2021

How to Cite

[1]
T. Le Thi Thu, “Testing safety factor of flexible gear rim in harmonic gear drive by the finite element method”, J. Mil. Sci. Technol., no. FEE, pp. 115–122, Oct. 2021.

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Research Articles