Model gears with variable ratios collected in Bauman Moscow State Technical University

Gears with variable gear ratios have long been known. They are described in the works of Leonardo da Vinci and other mechanical engineers. The models of gears collected by Redtenbaher, Reuleaux, Schroeder, and Claire included several mechanisms with various non-circular forms of gears. Such mechanisms have always been in great demand. However, the methods for their manufacture are complicated and time-consuming up to the present day. The article contains historical information about gears with non-circular wheels and examples of their modern applications. Kinematic characteristics of such gears are considered using example models from the BMSTU collection of mechanisms. The relationship between the gear ratio and speed ratio is established. Methods for determining the centroids of non-circular gears and the classification of gears with variable gear ratios are presented. Original gear mechanisms with variable ratios developed and studied by the scientists and students of the «Theory of Mechanisms and Machines» Department are presented. The history of their development and manufacturing is briefly described.

References

[1] Golovin A., Tarabarin V. Russian Model from the Mechanisms Collection of Bauman University. Springer, 2008. 245 p.

[2] Tarabarin V.B., Tarabarina Z.I. Modeli iz kollektsii MGTU im. N.E. Baumana kak otrazhenie istorii razvitiia teorii zatsepleniia [Models from the collection BMSTU as a reflection of the history of the theory of engagement]. Rossiia na rubezhe vekov: istoriia i sovremennost’. Sbornik nauchnykh statei [Russia at the turn of the century: history and modernity. Collected articles]. Kursk, 2002, pp. 260–263.

[3] Tarabarin V., Michailov E. Models of the gears with variable transmission ratio in Collection of Bauman MSTU. Proceedings «The 13th Word Congress in MMS», Guanajuato, Mexico, 19–23 June 2011. ID: A21_435.

[4] Kinematic Models for Design. Digital Library. Cornell University College of Engineering. Available at: http://kmoddl.library.cornell.edu/ (accessed 23 June 2014).

[5] Robinson S.W. Principles of Mechanism a Treatise on the Modification of Motion by Means of the Elementary Combinations of Mechanism, Or of the Parts of MacHines 1838–1910, Biblio-Bazaar, 2010. 354 p.

[6] Ottaviano E., Ceccarelli M., Danieli G., Mundo D. Analysis of Non-Circular Gears and CamFollower Systems as Function Generators. Mechanism and Machine Theory, 2008, vol. 43, pp. 996–1008.

[7] Ottaviano E., Mundo D., Lanni C., Danieli G., Tavolieri C., Fanghella P., Ceccarelli M. An Experimental Comparative Study on Non-Circular Gears and Cam Transmissions for a Blood Pumping System. Proceedings of IDETC/CIE 2006, ASME 2006 International Design Engineering Technical Conferences, & Computers and Information in Engineering Conference, September 10–13, 2006, Philadelphia, Pennsylvania, USA, 2006. 10 p.

[8] Francis C. Moon. The Machines of Leonardo Da Vinci and Franz Reuleaux: Kinematics of Machines from the Renaissance to the 20th Century. Springer, 2007. 416 p.

[9] Litvin F. L., Fuentes-Aznar A., Gonzalez-Perez I., Hayasaka K. Noncircular Gears: Design and Generation. Cambridge University Press, 2014. 222 p.

[10] Faydor L. Litvin. Development of Gear Technology and Theory of Gearing. University of Illinois at Chicago, Chicago, Illinois, 1997. 120 р.

[11] Litvin F.L. Theory of gearing. NASA, Scientific and Technical Information Division, 1989. 470 p.