PRODUCING SURFACE AND PRODUCING GEARING OF CYLINDRICAL SPUR SINE TRANSMISSIONS

Authors

  • П. М. Ткач Volodymyr Dahl East Ukrainian National University, Lugans’k, Ukraine

DOI:

https://doi.org/10.20535/2305-9001.2014.70.35216

Keywords:

cylindrical spur transmission, sine meshing, basic shape, manufacturing surface, rack-cutter, cutting meshing

Abstract

Purpose. Creation a fundamentals of mathematical model which consists in definition of geometry of a manufacturing surface and cutting meshing for cylindrical spur sine transmission.

Design/methodology/approach. The manufacturing surface is considered as rack-cutter with teeth, which profiled by sine wave - a smooth continuous curve. The equations of teeth surfaces which help the basic performances of this manufacturing surface surveyed, namely quadratic forms and normal curvatures in the given directions presented. The equations of cutting gearings which help to obtain the equations of surfaces of teeth which can be applied both for working surfaces of teeth are inferred, and for their fillets are obtained. For these surfaces quadratic forms also are defined. Boundaries of a field of a meshing are defined.

Findings. The results obtained in a paper possible to use for definition of quality indicators of serviceability of sine transmissions which will allow carrying out a comparative estimation of sine transmissions with traditional and other types of transmissions.

Originality/value. Theoretical research of internal geometry of a manufacturing surface and cutting meshing for manufacturing of cylindrical spur sine transmissions

 

Author Biography

П. М. Ткач, Volodymyr Dahl East Ukrainian National University, Lugans’k

к.т.н., доц.

References

1. Goljdfarb V.I. Nekotorihe aspektih sovremennogo sostoyaniya teorii i praktiki zubchatihkh peredach. Sbornik dokladov nauchno-tekhnicheskoyj konferencii «Teoriya i praktika zubchatihkh peredach i reduktorosroeniya». Izhevsk. 2008. P. 8-15.

2. Vulgakov Eh.B. Obthiyj sluchayj sinteza ehvoljventnogo zacepleniya. Trudih Rizhskogo instituta inzhenerov grazhdanskoyj aviacii. Sb: «Issledovanie mekhanicheskikh peredach privodov agregatov. 1970. Vihp. 148. P. 55-68.

3. Vulgakov Eh.B. Zubchatihe peredachi s uluchshennihmi svoyjstvami. Moscow: Mashinostroenie. 1974. 264 p.

4. Anikin Yu.V. Sinusoidaljnoe zaceplenie: osnovih geometro-kinematicheskoyj teorii. Voronezh: Izd-vo Voronezhskogo un-ta, 1975. 63 p.

5. Gricayj І.E., Litvinyak Ya.M. Sinusojidaljnі zubchastі peredachі yak aljternativa tradicіyjnim peredacham ta noviyj metod ikh vigotovlennya. Vіsnik Nac. Tekhn. un-tu «KhPІ». Zb. nauk. pracj. Tematichniyj vipusk «Problemi mekhanіchnogo privodu». Kharkіv: NTU «KhPІ». 2009. №19. 168 p. P. 43-52.

6. Gricayj І.E. Vіljshanecjkiyj V.І. Udoskonalennya tekhnologіji vigotovlennya zubchastikh kolіs na osnovі novogo metodu zubonarіzannya. Vіsnik Nac. Tekhn. un-tu «KhPІ». Zb. nauk. pracj. Tematichniyj vipusk «Problemi mekhanіchnogo privodu». Kharkіv: NTU «KhPІ». 2011. №28. 190 p. P. 44-52.

7. Shishov V.P. Teoriya, matematicheskoe obespechenie i realizaciya sinteza vihsokonagruzhennihkh peredach zacepleniem dlya promihshlennogo transporta: Dis. ... dokt. tekhn. nauk. 05.05.02. Lugansk. 1994. 525 p.

8. Pogorelov A.V. Differencialjnaya geometriya. Moscow: Nauka, 1974. 176 p.

9. Pogorelov A.V. Analiticheskaya geometriya: Uchebnik dlya vuzov. 4-e izd. pererab. Moscow: Nauka, 1978. 208 p.

10. Litvin F.L. Teoriya zubchatihkh zacepleniyj. Moscow: Nauka. 1968. 84 p.

11. Dusev I.I. Svyazj mezhdu geometricheskimi i kinematicheskimi parametrami vihssheyj kinematicheskoyj parih. Izv. Severo-Kavkazskogo nauchnogo centra vihssheyj shkolih. 1973. № 3. P. 28-32.

12. Bronshteyjn I.N. Semendyaev K.A. Spravochnik po matematike. 13-e izd. Moscow: Nauka. Gl. red. fiz.-mat. lit. 1986. 544 p.

Published

2014-12-22

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