Geometry Analysis of Harmonic Gear with Cycloidal Cogs and Interaction Forces

Authors: Klenikov S.S. Published: 15.04.2015
Published in issue: #2(101)/2015  

DOI: 10.18698/0236-3941-2015-2-107-117

Category: Mechanical Engineering and Machine Science | Chapter: Machine Science  
Keywords: cycloid, involute, harmonic cog gear, flexible gear, rigid gear, harmonic mechanism

Main principles of the geometry analysis algorithm are presented for harmonic gear with cycloidal cogs. A comparative analysis of the advantages and disadvantages of harmonic mechanisms with cycloidal and involute cog forms is conducted. It was shown that high performance of cycloidal form is caused by more than threefold excess of the cog spacing above its depth. It allows to increase drastically the fatigue endurance of the flexible cog crowns, and to decline lower threshold of the gear ratio more than twofold. Practical expediency of cycloidal cogs application in harmonic mechanisms is confirmed.


[1] Ivanov M.N. Volnovye zubchatye peredachi [Wave gears]. Moscow, Vyssh. shk. Publ., 1981. 184 p.

[2] Gavrilenko V.A. Osnovy teorii evol’ventnoy zubchatoy peredachi [Basis of involute gear theory]. Moscow, Mashinostroenie Publ., 1969. 432 p.

[3] Klenikov S.S., Maykov A.I. Building of coordinated geometry of wave gear with circular tooth form. Izv. Vyssh. Uchebn. Zaved., Mashinostr. [Proc. Univ., Mech. Eng.], 2009, no. 1, pp. 3-8 (in Russ.).

[4] Fomina T.A. Model to calculate equivalent thicknesses of flexible gear ring with circular-arc tooth and equivalent stresses distribution in the gear ring. Izv. Vyssh. Uchebn. Zaved., Mashinostr. [Proc. Univ., Mech. place country-region Eng.], 2011, no. 6, pp. 19-25 (in Russ.).

[5] Frolov S.V., Shostak R.Ya. Kurs vysshey matematiki [Course of higher mathematics]. Moscow, Vyssh. shk. Publ., 1966. 663 p.

[6] Boyarshinov S.V. Osnovy stroitel’noy mekhaniki mashin [Fundamentals of structural mechanics of machines]. Leningrad, Mashinostroenie Publ., 1973. 456 p.

[7] Klenikov S.S., Fomina T.A. Dynamic model to design spiral pack of wave step motor. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Mashinostr. [Herald of the Bauman Moscow State Tech. Univ., Mech. Eng.], 2010, no. 4, pp. 23-34 (in Russ.).

[8] Klenikov S.S., Fomina T.A. Analysis of forms of dynamic deformed rings of the wave step motor spiral pack and stresses in them. No. 2011618619. Registered in the Register of Programs 27.11.2011.

[9] Samsonovich S.L. Ustroystva s volnovymi peredachami i ikh primenenie v mashinostroenii [Devices with wave gears and their application in mechanical engineering]. placeCityMoscow, Vyssh. shkola, 1985. 48 p.