Abstract
In the field of transmission and power transformation from the power engine to the working machine, gear pairs, are mostly used in mechanical engineering due to their compactness of the structure, high reliability and capacity. One way of improving the performance characteristics of gear pairs, and thus the gear transmitters, is to increase the number of simultaneously meshed pairs of teeth, or increasing the transverse contact ratio. To this end, this paper analyzes in detail the partial and simultaneous influence of the number of teeth and tooth profile shapes, moving through shifting coefficient and pressure angle, to the number of simultaneously meshed pairs of teeth. The obtained results allow us to define the optimum parameters of cylindrical gear pairs, in terms of the size of the transverse contact ratio.
Highlights
The kinematic indicator of the existence of the transmitting continuity of a rotary movement is the total contact ratio
Ako je zbir pomeranja profila zubaca x1 + x2 = 0, ugao dodirnice (α w ) jednak je uglu nagiba profila alata (α ), i ako su zupci spregnutih zupčanika urađeni bez pomeranja profila, tada je x1 = x2 = 0, a opšti izraz za stepen sprezanja profila zubaca može se napisati u obliku (Ognjanović, 2011): εα =
Datum konačnog prihvatanja članka za objavljivanje/ Paper accepted for publishing on: 16. 02. 2014
Summary
Stepen sprezanja bokova zubaca jednak je zbiru stepena sprezanja profila zubaca i stepena sprezanja bočnih linija. Smenom izraza za aktivnu dužinu dodirnice ( l ) i za korak zupčanika na osnovnom krugu ( pb ) u jednačini 1 dobija se izraz za stepen sprezanja profila zubaca (Ognjanović, 2011), (Ristivojević, 2005): εα =. ⋅ sinα w π ⋅ cosα gde su: z1 i z2 – broj zubaca malog i velikog zupčanika, respektivno, x1 i x2 – koeficijent pomeranja profila zubaca malog i velikog zupčanika, respektivno, α – ugao nagiba profila alata (osnovne zupčaste letve), α w – ugao dodirnice. Ako je zbir pomeranja profila zubaca x1 + x2 = 0 , ugao dodirnice (α w ) jednak je uglu nagiba profila alata (α ), i ako su zupci spregnutih zupčanika urađeni bez pomeranja profila, tada je x1 = x2 = 0 , a opšti izraz za stepen sprezanja profila zubaca može se napisati u obliku (Ognjanović, 2011):. Na osnovu jednačina 3 i 4 razmotren je uticaj broja zubaca malog i velikog zupčanika ( z1 i z2 ), koeficijenta pomeranja profila zubaca malog i velikog zupčanika ( x1 i x2 ) i ugla nagiba profila alata (α ) na stepen sprezanja profila zubaca, a u skladu sa algoritmom prikazanim na slici 1 (Rosić, 2003)
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