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Calculation of wave transmission We will consider the example of calculation of basic parameters of impermeable wave transmission (a flexible wheel is immobile) with the disk and fist generator of waves. Basic data: • Power on the leading billow of Wh, W; • frequency of rotation of leading billow of nh, rpm; frequency of rotation of slave billow of nb, rpm; coefficient of dynamic quality of the external loading of K. Order of calculation 1. The gear ratio of the wave transmission from the disk wave generator to the hard wheel nh nb nh-speed of rotation of the drive shaft and wave generator, rpm; nb - speed of rotation of the driven shaft and rigid wheel, rpm. 2. Set by the number of waves of V=2, at k=1 find the number of points hard b and flexible g wheels: ihb = Zb = 21%b9; zg-zb-2 (9.14) We choose material and type of heat treatment of gear-wheels (see a table. 9.1) and a cm is determined [o]. It is recommended to choose: - [ocm]= 10... 30 MPa for the steel gear-wheels (with the number of hardness about 300 HB) of high-speed and medium speed transmissions; - [ocm]=60... 100 MPa for the modes with brief overloads and slow transmissions. Calculate the torque on the drive shaft, Nm: 60Wh T₁ = 2代排扣 Wh-power on the drive shaft, W. Calculate the moment on the driven shaft, Nm: Tb = K₂ibTh де K₁ - coefficient of dynamics of external loading. Determine a pitch of toothed crown of flexible wheel dg diameter from the condition of providing of durability of working surfaces of points on crumpling, mm: 10ºTb [cu]₁² dg = [CM] - permissible shear stresses on the working surfaces of the teeth; ₁ = it is a coefficient of width of toothed crown, it is recommended to accept da 4.-0,1...0,3 (less values for small i and littleloaded transmissions). The least possible diameter is determined Poe (9.15) dg.
5. The module is determined: m = dg/zg We choose the nearest value of the standard module of m (table. 9.3) (usually take the nearest greater value). 6. We choose the basic geometrical parameters of hooking at cutting of points a standard instrument from a = 20, x0=0,3. We set a value y for a disk generator: y-20... 40 (large values for large i. Модуль, DRA % 0,2 0,25 0,3 0,4 0,5 0,6 0,8 0,22 0,28 0,35 0,45 0,55 0,7 0,9 Номинальный делительный стр 40 64 Число aydoes 24 200 182 160 140 132 114 100 90 80 72 66 56 50 44 Диаметр вершин syden MM 40,67 40,77 40,82 40,12 40,59 40,05 41,32 41.98 41,65 41,41 41,58 41,51 42,64 42,57 Число syden 2₁ 320 290 256 228 212 182 160 144 128 116 108 90 80 72 Диаметр вершин ayden MM 64,67 64,53 64,82 64,76 64.59 drg = dg the internal diameter of flexible wheel is determined 64.85 65,32 66,28 65,65 65.61 66,78 65.31 66,64 67,77 Таблица 9.3 Kondo циент высоты TORON syda ha 1,5 1,5 1,5 1.5 1.5 Accepting k-1, find 00, xg, hg, ha (fig. 9.10) in accordance with recommendations: 1.5 1.5 1.5 1.5 1,35 1,35 1,35 1,35 1,35 CO0 (1,05... 1,2) m (less values for less i), coefficient of displacement of xg - 3...4; height of points of hg= (1,5 ... 1, 8) m; depth of stopping of h. (1,3... 1,5) m, preferably to use the large values of hg and hd because at small hd getting through of points is possible on-loading. 7. We specify and determine the geometrical parameters of hooking of dfg, dag = dfg + 2hg. We find the radius of middle surface to deformation: xg, dag and sizes of flexible wheel of h, r, D, cut by a worm milling cutter. We set hl (see a fig. 9.10, a); hl= (0,005... 0,015) dg is recommended. The diameter of circumference of cavities of flexible wheel (see a fig. 9.10, a) is determined: D = dfg -2h₁ The diameter of circumference of tops of points of flexible wheel is determined: (9.18)
bap r = (D+h₁)/21)/2 ő B A fig. is Geometry of gear-wheels of wave transmission cutter: 8. We find the parameters of toothed crown of hard wheel, cut by a gear cutter. The coefficient of displacement of hard wheel is determined m-(wo/k) Xb = Xg m (9.19) We determine interaxle distance in the machine-tool hooking with a gear awo = m(zb - Zo); cosa 2coswo (9.20) For a flexible wheel: We will find: diameter of circumference of cavities of hard wheel (see a fig. 9.10, 6) drb = 2(awo + 0.5dao) (9.23) where dao is a diameter of circumference of ledges of gear cutter; diameter of circumference of tops of hard wheel: dab = dag + 2wo - 2ha (9.24) 9. We expect the geometrical parameters of construction. Width of toothed crown of flexible wheel: bg = dgas Hard wheel: bb = bg + (2..4) 12 (1... 1,25)D
Task: to expect a wave transmission from basic data (table. 4.) on a variant. Table 4 Ne variant 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Power on the leading billow of Wh, 10³ W 750 850 500 300 550 660 750 700 500 550 650 750 700 725 600 750 660 750 600 550 550 650 750 700 750 650 700 750 Frequency of rotation of leading billow of nh, rpm 95 150 120 95 110 120 100 140 120 100 130 140 100 120 100 95 120 100 95 110 100 130 140 140 100 130 140 100 Frequency of rotation of slave billow of nb, rpm 1 3 1 1 1 1 2 1 1 1 2 2 2 2 1 1 2 1 1 2 1 2 2 2 2 2 Coefficient of dynamic quality of the external loading of Kд 1 1,1 1,2 1,25 1,2 1 1,1 1,2 1 1,25 1 1,2 1,1 1 1,25 1 1 1,1 1,25 1,2 1,25 1 1,2 1,2 1,1 1 1,2 1,1