Comparison of Assemblies of Four-Link Structural Groups of 3rd Class on the Transmission Angle

<- Back to II. Mechanical Engineering & Physics Vol. 5

Cite the paper

Matsyuk I.N., Morozova Т.I., Shlyakhov E.М. (2016). Comparison of Assemblies of Four-Link Structural Groups of 3rd Class on the Transmission Angle. Mechanics, Materials Science & Engineering, Vol 5. doi:10.13140/RG.2.1.2348.6969

Authors: Matsyuk I.N., Morozova Т.I., Shlyakhov E.М.

ABSTRACT. Comparison of various assemblies of four-link structural group of 3rd class with revolute joints on the transmission angle is performed. Equations of the trajectories of plug points of one of the groups of joint are obtained to determine transmission angles. Derived functions of these equations enable to determine the values of transmission angles for each assembly group. It is shown that only two assemblies of maximum possible assembling number of such group (six) have practical value. The solution of this problem was performed with the help of Mathcad program.

Keywords: Mathcad, planar mechanism, vector, complex number, group assemblies, transmission angle, structural group of third class

DOI 10.13140/RG.2.1.2348.6969


[1] H. Alt. Ueber die Totlagen des Gelenkvierecks, Z.A.M.M. 1925, Vol. 5 (No. 1), 347-354.

[2] F. Freudenstein, E.J. Primrose, The classical transmission-angle problem, The Institution of Mechanical Engineers, C96/72, Mechanisms 1972, London.

[3] Eres Söylemez, Classical transmission-angle problem for slider-crank mechanism, Mechanism and Machine Theory, Vol. 37 (2002), 419-425, doi: 10.1016/S0094-114X(01)00083-0.

[4] S. Youliang, Optimization design of crank rocker mechanism based on maximum of minimum transmission angle, Journal of machine design, Vol. 31, Jul. 2014, pp. 29-33.

[5] Y. Jinhu, Research of the Transmission Angle Function of Offset Crank Rocker Mechanism, Journal of Mechanical, Vol. 38, Aug. 2014, pp. 43-46.

[6] E.E. Peisakh, Determining link position of three  and two work drivers of four-link Assura with turning pairs // Mechanical engineering. – 1985. -No 5. – P. 55-61.

[7] I.N. Matsyuk, Geometrical analysis of two work driver structural group of 3rd class in the Mathcard program. Bulletin of Kryvyi Rih Technical University – Kryvyi Rih, 2013. – Vol. 35. –P. 209–213.

Creative Commons Licence
Mechanics, Materials Science & Engineering Journal by Magnolithe GmbH is licensed under a Creative Commons Attribution 4.0 International License.
Based on a work at