# Gears Bevel piral S ith Optimized Tooth End Geometry W Pauliņš ārlis K iga Technical R niversity U, Engineering, and Mechanical Transport of Faculty 6

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1 G Bvl l S Oz E Gy W Pulņš āl K l R vy U, E, Ml Fuly 6,. zl E, R v L LV, E- l : v k 1. bl l. ly l bvl Cuy u Su. lly y u l uul l. l u lly xl u bk. bvl ju. u blk F v y l k ull v : y b ul l. F u v ly v ll u b v bk. l k k. bv l. u l l k l u v u ly. ly u k u ly W lv l l l. l l qul l ly l l. Nvkv I - (NW) lb W l l l lz: l uvu bl v bu, uvu. l l lll lk NW. l l ull v bl 1) F. ( L ) y 30 v ( v W N l l v b, ly W N u l vl b vu v W bvl N l v ubl ly ] [1 y v. ly I u

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3 , l v,, l vx, vy yl bk u F.1 bl bk NW lv lv y. lu b uy llz b lk l (l) ( F.1b), bu l u [ 2],[ 3]. W u u, ly u bl NW. l uvl lu ul ly [ 4],[5], u b k u l l u ( F. 1). u v k xl. v u x l l F u F,. S u l u u ull k b xl- l. l l ψ u l α l l β β : ψ = ( α*. β ) u u l l v NW l bvl α = 27, β = β = l 90. I, uy lll, NW xly ul. G 45 v v bk. P v v. A l bu 40 b l u yll. l l blk. 2. O z u l u u ly. yl u u u vy l, bu ly v. I u u u l y. O ly l u ully l y x lul. uy u lu lul, u y l kbl y ly. A uy bl k blk l y. Ilu y y CNC ly. D u v x l vu l yll ull x, u bk ux v u b, bu x l. Gl ly vly lv NW l lu x u ( 1)

4 ly, b y (F.1) vl u. l l l b bu yl, b u l u [7] u. bl NW l x E. lu y l ly ully j yl l, 45 vl u. l ly,. 3 v z blk D bvl l ul x / lul z b y x. u y lk y u ly, lk b, I uy u u b z u Ey. bl quk k. x u y qu u bl ll lu k v 2 (F. ) = 2, u b k, =, l) u (u = x =, l l =, / 1 =, l vul / 2 =. l vul / u z ( 5 4 l ) yl. b u yl u v l b yl. u uy ull ll l b. y u. l y u u l u ll l u b z l. l l xl l u vu. l y x (2) u lul b l b k u l 0,5. z 1 A 1 0,5*( - 2 b)* k ) 2 ( u 2 u 1 A l. lul u lul b 1 u. 2 A lu

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6 lly l l z. Su uy lul 0, 1. 1 *2 + 2*( x / 2 + *( 2-1 )) A 2 A1* + x / 2 - *( 2-1), l 1 2. X blk u CNC l u b lul uy 0,01, u u. 1= 2*( *A1+ ( + x ) /2) ( 3) ( 4) ( 5) 2 = 2*(A2/ + *(2 + 1) ) ( 6) l Z u l uy 0,01. ( 7) B1 = 0,5*( 1-1) / B2 = 0,5*( 2-2 ) * ( 8) u 45 bk 45 l l. u y b l, bk v y, bu l 45. I - y b, l bk yll u; u u u u. l uully l 45 u. B 1 = B1 + 2 *1* ( 9) 2x = 2*( A1 + * ( 2-1) ) ( 10 ) u l u. Ru u v 0 = 1 u 0,99* = 0, 1 qul (11): *(1 - )* ( (90 + ) / 2 ) ( 11) l u yl 1 qul l l 2 v 1,41* =1 u 0,17* = 0,1 (12): 4. Exl lul. 1 = 2 = 2**1 ( 12) A xl lul k l bvl Ru B l ( F. 3) O l u 177,14

7 , u 174,0. uy ly u z y. l u 3 4. F lul b u 2= 175 u yl ( F. 4) l bv. 31 l kb= 0,3074. bv v qul l lul = 4,2, x = 1,1, = 0,586207, 1= 0, = 0, u 95, lul b u lul A 1= 60,6025 u 60,5. S l A 2= 35,24, u 35,2. A lul u l (5),(6). b uy (u) u y u ly. A uy lul u u u l ( F ,14 177,14 ). bly u u l u u l, xl, 10,68 16,67 l x,. 3. ф? u yll lvly. l l (? F.3), v. l ully u lk. O F. 3 bl l uy u, xl l bk. A lul lu y. u 1= 108, ,1, u A 2= 35,24 35,2. l 1= 83,22 2= 131,49 xl u l B 1 = 21,23 B2= 12,75 lul uy 0, 01. b u 0,5 : B 1 = 25,478 25,5 2x = 123,

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10 5. C lu L x u z l bvl ub v l : I ux v, l lu u / b. E u u. I l ly bk, u ly. S l blk y. M ubl y k blk u lu y u b. Sll u u xl. Pbly u ll yll l u l xl u- u k u l u k. Plly ly u u yl k. R [ 1] В альдман М.Я., Паулиньш К.К., Розин В.Т. Повышение долговечности роторов с амоходных буровых установок. I: Химическое и нефтяное машиностроение, 11, с М осква 1978 г. [ 2] Паулиньш К.К. Конические пе редачи Новикова с модификацией торцов зубев. I : Рижский политехнический институт, Д олговечность зубчатых передач, В ыпуск РПИ, Рига [ 3] A (CCCP). Способ нарезания обкаткой дуговых зубьев конических колес / K.K.Паулиньш. З аявл , /08; O публ. в Б. И., 1977, 10. MKИ B23 F 19/12 [4] Паулиньш К.К. Конические передачи Новикова с особой формой торцов зубев. I : Рижский политехнический институт, Д олговечность зубчатых передач, Выпуск Р ПИ, Рига [ 5] П аулиньш K.K. xнологичность токарной формы и иовые пути нормализации размеров зубчатых венцов конических колес. I: Bопросы механики и машиностроения, вып. 5. Pига, изд-во PПИ, [ 6] Pul K. Ol G Z v Slkl. I: Uv Ilu. 44. Il Wl Kllquu B 3, UI.Ilu, [ 7] P ul K., Rk E., kv O. Ol Gy E Su Sl Bvl Hy G. 6- I l C C Sy M, 7. D ubvk, 2009.

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