ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
Menu

4
Issue
vol 63 / April, 2020
Article

DOI 10.17586/0021-3454-2018-61-2-135-140

UDC 62-233.3/.9

APPROXIMATE GEAR TRANSMISSION WITH A PIECE-LINEAR CONTACT

B. P. Timofeev
ITMO University, Department of Mechatronics; Professor


M. Y. Ponomarenko
Absolute Ltd., Department of Design; Engineer-Designer


A. V. Kovalevich
; ITMO University, Department of Mechatronics; Post-Graduate Student


Read the full article 

Abstract. The possibilities of gears with the use of the simplest surfaces - the plane, the cylinder and their various combinations — as working surfaces of the teeth are analyzed. It is shown that with such simple outlines of the teeth it is possible to obtain a high-quality transmission. The resulting values of position and gear ratio errors are minimal and in the case of multi-row transmissions can be negligible. Calculations of the kinematic parameters of the proposed engagement options are made. The prospects of using gears with the simplest outlines of teeth are associated with the absence of the need for complex processing equipment and the possibility of manufacturing and repairing in the field.
Keywords: gearing, non-involuntary gearing, gearing simulation, approximate gears, tooth frequency error, bezel contact, multi-row transmission

References:
  1. Timofeev B.P., Ulanov A.A. The Theory of Mechanisms and Machines, 2013, no. 2(22). (in Russ.)
  2. Litvin F.L. Teoriya zubchatykh zatsepleniy (Theory of Gear Gearings), Moscow, 1968, 584 р. (in Russ.)
  3. Litvin F.L.Proektirovanie mekhanizmov i detaley priborov(Design of Mechanisms and Details of Devices), Moscow, 1973, 696 р. (in Russ.)
  4. Sheveleva G.I. Teoriya formoobrazovaniya i kontakta dvizhushchikhsya tel(The theory of Shaping and Contact of Moving Bodies), Moscow, 1999, 494 р. (in Russ.)
  5. Artobolevskiy I.I. Teoriya mekhanizmov(Theory of Mechanisms), Moscow, 1965, 776 р. (in Russ.)
  6. http://gears.ru/shev_s3.htm(in Russ.)
  7. http://www.exponenta.ru/soft/mathcad/mathcad.asp(in Russ.)
  8. Astaf'ev A.F. Inzhenernaya spravochnaya kniga(Engineering Reference Book), vol. 2, Moscow, Leningrad, 1937, 638р. (in Russ.)
  9. Britskiy V.D., Nozdrin M.A., Zamoruev G.B., Timofeev B.P., Bindyuk V.V., Reznikov S.S., Monakhov Yu.S., Abramchuk M.V., Larin M.S. Proektirovanie peredatochnogo mekhanizma (Design of the Transmission Gear), St. Petersburg, 2010, 155 р. (in Russ.)
  10. http://openbooks.ifmo.ru/ru/file/5453/5453.pdf(in Russ.)
  11. Mashnev M.M., Kraskovskiy E.Ya., Lebedev P.A. Teoriya mekhanizmov i mashin i detali mashin(Theory of Mechanisms and Machines and Machine Parts), Leningrad, 1980.(inRuss.)