渐开线花键计算公式.docx

渐开线花键计算公式 30°平齿根花键计算书第1页 模数 m = 3 齿数 z = 15 标准压力角αD = 30° 配合代号：H7/h7 分度圆直径 D = m×z = 45 基圆直径 Db = m×z×cos(αD) = 38.9711 周节 p = π×m = 9.42477796076937 内花键大径 Dei = m×(z+1.5) = 49.5 外花键作用齿厚上偏差 esv = 0 (根据<<机械传动设计手册>>1463页表9-1-49或由公差代号计算) 外花键渐开线起始圆直径最大值： DFemax = 2×((0.5Db)^2+(0.5Dsin(αD)-(hs-0.5esv/tan(αD))/sin(αD))^2)^0.5 = 41.8669 (其中hs = 0.6m = 1.8) 内花键小径 Dii = DFemax+2CF) = 42.47 (其中CF = 0.1m = .3) 内花键基本齿槽宽 E = 0.5πm = 4.712388101 外花键基本齿厚 S = 0.5πm = 4.712388101 内花键： 内花键总公差 T+λ = 40i*+160i** = 179 其中i* = 0.45(D)^(1/3) + 0.001D (D = (30×50)^0.5 = 38.73101334620742) i** = 0.45(E)^(1/3) + 0.001E (E = (3×6)^0.5 = 4.24264068711928) 周节累积公差 Fp = 7.1(L)^0.5 + 18 = .078 其中分度圆周长之半 L = πmz/2 = 70.6858347057703 齿形公差 ff = 6.3ψf + 40 = .062 其中公差因数ψf = m + 0.0125D = 3.48412291827593 齿向公差 Fβ = 2.0×(g)^0.5 + 10 = .023 其中花键长度 g = 40 综合公差λ= 0.6((Fp)^2 + (ff)^2 + (Fβ)^2)^0.5 = .061 作用齿槽宽最小值 Evmin = 0.5πm = 4.712 实际齿槽宽最大值 Emax = Evmin + (T+λ) = 4.891 实际齿槽宽最小值 Emin = Evmin + λ =4.773 作用齿槽宽最大值 Evmax = Emax - λ = 4.83 外花键： 外花键大径 Dee = m×(z + 1) = 48 外花键小径 Die = m×(z - 1.5) = 40.5 外花键总公差 T+λ = 40i*+160i** = 179 其中i* = 0.45(D)^(1/3) + 0.001D (D = (30×50)^0.5 = 38.73101334620742) i** = 0.45(E)^(1/3) + 0.001E (E = (3×6)^0.5 = 4.24264068711928) 周节累积公差 Fp = 7.1(L)^0.5 + 18 = .078 30°平齿根花键计算书第1页 模数 m = 3 齿数 z = 15 标准压力角αD = 30° 配合代号：H7/h7 分度圆直径 D = m×z = 45 基圆直径 Db = m×z×cos(αD) = 38.9711 周节 p = π×m = 9.42477796076937 内花键大径 Dei = m×(z+1.5) = 49.5 外花键作用齿厚上偏差 esv = 0 (根据<<机械传动设计手册>>1463页表9-1-49或由公差代号计算) 外花键渐开线起始圆直径最大值： DFemax = 2×((0.5Db)^2+(0.5Dsin(αD)-(hs-0.5esv/tan(αD))/sin(αD))^2)^0.5 = 41.8669 (其中hs = 0.6m = 1.8) 内花键小径 Dii = DFemax+2CF) = 42.47 (其中CF = 0.1m = .3) 内花键基本齿槽宽 E = 0.5πm = 4.712388101 外花键基本齿厚 S = 0.5πm = 4.712388101 内花键： 内花键总公差 T+λ = 40i*+160i** = 179 其中i* = 0.45(D)^(1/3) + 0.001D (D = (30×50)^0.5 = 38.73101334620742) i** = 0.45(E)^(1/3) + 0.001E (E = (3×6)^0.5 = 4.24264068711928) 周节累积公差 Fp = 7.1(L)^0.5 + 18 = .078 其中分度圆周长之半 L = πmz/2 = 70.6858347057703 齿形公差 ff = 6.3ψf + 40 = .062 其中公差因数ψf = m + 0.0125D = 3.48412291827593 齿向公差 Fβ = 2.0×(g)^0.5 + 10 = .023 其中花键长度 g = 40 综合公差λ= 0.6((Fp)^2 + (ff)^2 + (Fβ)^2)^0.5 = .061 作用齿槽宽最小值 Evmin = 0.5πm = 4.712 实际齿槽宽最大值 Emax = Evmin + (T+λ) = 4.891 实际齿槽宽最小值 Emin = Evmin + λ =4.773 作用齿槽宽最大值 Evmax = Emax - λ = 4.83 外花键： 外花键大径 Dee = m×(z + 1) = 48 外花键小径 Die = m×(z - 1.5) = 40.5 外花键总公差 T+λ = 40i*+160i** = 179 其中i* = 0.45(D)^(1/3) + 0.001D (D = (30×50)^0.5 = 38.73101334620742) i** = 0.45(E)^(1/3) + 0.001E (E = (3×6)^0.5 = 4.24264068711928) 周节累积公差 Fp = 7.1(L)^0.5 + 18 = .078 。