Vol.1, No 5, 1998 pp. 515 - 525
UDC: 621.9.02
TOOTH SURFACE FUNDAMENTAL FORMS IN GEAR TECHNOLOGY
Stepan P. Radzevich1, Erik D. Goodman2, Viktor A. Palaguta3
1 Department ŤCutting Tool Design and Productionť (1220), Mechanical Engineering Faculty
National Technical University of Ukraine ŤKyiv Polytechnic Instituteť Peremohy Ave., 37, Kyiv, 252026, Ukraine
2 College of Engineering, Michigan State University, East Lansing, MI, 48824, USA
3 Mechanical Engineering Faculty, Dnieprodzerghinsk State Technical University, Dnieprostroyevskaya Ave., 2, Dnieprodzerghinsk, 322618, Ukraine 
Abstract. A new approach to investigate the local topology of the involute gear tooth surface has been developed. The approach is based on the fundamental results in differential geometry of surfaces. The method described here may always be applied, but is less efficient than other methods if calculation of only one single parameter is required. However, when multiple parameters of the local geometry (intrinsic or external) of the gear tooth surface must be calculated, this method is more efficient than other methods in use.
Key words: gear tooth surface, gear technology
OSNOVNI OBLICI POVRŠINE ZUBACA U TEHNOLOGIJI ZUPČANIKA
U radu je prikazan jedan novi pristup istraživanja lokalne topologije involute površine zubaca. Pristup je zasnovan na fundamentalnim rezultatima diferencijalne geometrije površina. Ovaj metod se može uvek primeniti, ali je manje efikasan ako se proračunavanja vrše samo po jednom parametru. Međutim, ako se proračun vrši prema većem broju parametara lokalne geometrije površine zubaca, ovaj pristup daje bolje rezultate u onosu na druge metode.