Development and Research of Intermittent Motion Planetary Mechanisms with Elliptical Gearwheels

Authors: Prikhodko A.A., Smelyagin A.I. Published: 21.12.2019
Published in issue: #6(129)/2019  

DOI: 10.18698/0236-3941-2019-6-77-88

Category: Mechanical Engineering and Machine Science | Chapter: Machine Science  
Keywords: rotational motion, intermittent motion, elliptical gearwheels, planetary mechanism, kinematic analysis, analogue of angular velocity

Actuators converting rotational motion of the input shaft into intermittent motion of the output one are widely used in mechanical engineering. However, in most of the actuators used, the conversion of motion is realized by breaking the kinematic chain. This leads to high loads on the actuator links due to shocks occurring at the beginning or end of the movement phase. An urgent task is the development of compact and reliable mechanical converters where the required motion is carried out smoothly and without breaking the kinematic chain. The article presents the new kinematic schemes of the intermittent motion mechanisms based on planetary gears with elliptical gearwheels. For ease of balancing it is proposed to use elliptical wheels with a rotation axis in the center of symmetry. The kinematic analysis of the developed mechanisms is carried out, the rotation angle and the analog of the output shaft angular velocity are determined. Mechanisms can be widely used in machine tools, robotics, automatic machines, and conveyors


[1] Frolov K.V., ed. Teoriya mekhanizmov i mashin [Mechanism and machine theory]. Moscow, Vysshaya shkola Publ., 1987.

[2] Popkonstantinovic B., Jeli Z., Miladinovic L. 3D modeling and motion analysis of the Maltese cross (Geneva) mechanisms. Proc. 14th IFToMM World Cong., 2015, pp. 165--170.

[3] Timofeev G.A., Barbashov N.N., Tsibrovskiy A.N. Designing the intermittent motion mechanism on the basis of wave gear with the internal deformation waves generator. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Mashinostr. [Herald of the Bauman Moscow State Tech. Univ., Mechan. Eng.], 2016, no. 2, pp. 113--124 (in Russ.). DOI: 10.18698/0236-3941-2016-2-113-124

[4] Chang Z., Xu C., Pan T., et al. A general framework for geometry design of indexing cam mechanism. Mech. Mach. Theory, 2009, vol. 44, no. 11, pp. 2079--2084. DOI: 10.1016/j.mechmachtheory.2009.05.010

[5] Figliolini G., Angeles J. Synthesis of conjugate Geneva mechanisms with curved slots. Mech. Mach. Theory, 2002, vol. 37, no. 10, pp. 1043--1061. DOI: 10.1016/S0094-114X(02)00062-9

[6] Waldron K.J., Kinzel G.L. Kinematics, dynamics, and design of machinery. John Wiley & Sons, 1999.

[7] Zheng F., Hua L., Han X., et al. Linkage model and manufacturing process of shaping non-circular gears. Mech. Mach. Theory, 2016, vol. 96-1, pp. 192--212. DOI: 10.1016/j.mechmachtheory.2015.09.010

[8] Zheng F., Hua L., Han X., et al. Synthesis of indexing mechanisms with non-circular gears. Mech. Mach. Theory, 2016, vol. 105, pp. 108--128. DOI: 10.1016/j.mechmachtheory.2016.06.019

[9] Freudenstein F., Chen C.K. Variable-ratio chain drives with noncircular sprockets and minimum slack-theory and application. J. Mech. Des., 1991, vol. 113, no. 3, pp. 253--262. DOI: 10.1115/1.2912777

[10] Litvin F.L., Gonzalez-Perez I., Fuentes A., et al. Design and investigation of gear drives with non-circular gears applied for speed variation and generation of functions. CMAME, 2008, vol. 197, no. 45-48, pp. 3783--3802. DOI: 10.1016/j.cma.2008.03.001

[11] Mundo D. Geometric design of a planetary gear train with non-circular gears. Mech. Mach. Theory, 2006, vol. 41, no. 4, pp. 456--472. DOI: 10.1016/j.mechmachtheory.2005.06.003

[12] An I-Kan. Sintez, geometricheskie i prochnostnye raschety planetarnykh mekhanizmov s nekruglymi zubchatymi kolesami rotornykh gidromashin. Dis. d-ra tekh. nauk [Synthesis, geometric and strength calculations of rotor hydromachines planetary mechanisms with non-circular gears. Dr. Sc. (Eng.) Diss.]. Tomsk, TPU, 2001 (in Russ.).

[13] Prikhod’ko A.A., Smelyagin A.I. The kinematic analysis of a planetary gear mechanism for converting rotational motion into reciprocating rotational motion. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [Proceedings of Higher Educational Institutions. Маchine Building], 2016, no. 12, pp. 21--27 (in Russ.). DOI: 10.18698/0536-1044-2016-12-21-27

[14] Smelyagin A.I., Prikhod’ko A.A. Structure and kinematics of a planetary converter of the rotational motion into the reciprocating rotary motion. J. Mach. Manuf. Reliab., 2016, vol. 45, no. 6, pp. 500--505. DOI: 10.3103/S1052618816060108

[15] Prikhod’ko A.A., Smelyagin A.I. Balancing of rotationally reciprocating stirred tank of planetary gear actuator. Problemy mashinostroeniya i avtomatizatsii [Engineering and Automation Problems], 2016, no. 4, pp. 62--67 (in Russ.).

[16] Prikhodko A.A., Smelyagin A.I. Development and research of vibromixing reactor with rotationally reciprocating motion of impeller. VP, 2016, vol. 8, pp. 102--107.

[17] Prikhodko A.A., Smelyagin A.I., Tsybin A.D. Kinematics of planetary mechanisms with intermittent motion. Procedia Eng., 2017, vol. 206, pp. 380--385. DOI: 10.1016/j.proeng.2017.10.489

[18] Litvin F.L., Fuentes A. Gear geometry and applied theory. Cambridge University Press, 2004.

[19] Coxeter H.S.M. Introduction to geometry. Wiley, 1989.