锥齿轮设计

计算项目符号单位公式及数据来源结果传递功率Pkw小齿轮转速n1rpm传动比i轴交角∑°正交传动90齿线形状圆周速度5m斜齿小齿轮材料及热处理42SiMn调质至：HB242大齿轮材料及热处理45调质至：HB229材料及热处理质量等级原动机特性工作机特性第二公差组精度等级润滑油50℃名义运动粘度ν50mm2/s齿面粗糙度Ra1/Ra2μm可靠性要求齿轮支撑形式初定小齿轮分度圆直径d1'主动轮主动轮转向主动轮旋向1.齿形制　齿形角α°GB12369-9020　齿顶高系数ha*GB12369-901　顶隙系数c*GB12369-900.22.大端端面模数mmm93.齿数比u3.07692z113z240x1表14-3-80.52x2高变位：x2=-x1-0.52xt1表14-3-90.08xt2高变位：x2=-x1-0.08均匀平稳轻微振动小齿轮左旋左转120锥齿轮传动设计计算GB12369-90一.已知条件二.几何计算6.32201510003MQ4.齿数失效概率低于1/1009一轮两端支撑，一轮悬臂支撑δ15.变位系数6.分锥角°18.0042)180cos()180sin(arctan90cossinarctan90arctan9011211?--?-=???+?=??=?=?uuzz时，δ当时，δ当时，δ当12δδ-=12/zzu=δ2°71.9958d1mm117d2mm360dm1mm99.6912dm2mm306.742R189.268Rmmm161.2689.齿宽bmm56　齿宽系数φR0.2958810.螺旋角β°2311.齿宽中点的螺旋角βm°27.29512.齿宽中点法向模数mmnmm6.81472ha１mm13.68ha２mm4.32hf１mm6.12hf２mm15.48h１mm19.8h２mm19.8da1mm143.02da2mm362.671θf1°2.18542θf2°5.51343θa1°2.18542θa2°5.51343δa1°20.1896δa2°77.5093δf1°15.8187δf2°66.4824Ak1mm175.772Ak2mm54.3915s1mm18.5581s2mm9.7162mm16.718mm8.86113mm4.30019mm4.34026zv117.5254zv2165.92125.当量齿数17.齿根角18.齿顶角14.齿根高19.顶锥角20.根锥角21.外锥高22.分度圆弧齿厚24.分度圆弦齿高8.锥距16.齿顶圆直径23.分度圆弦齿厚6.分锥角7.分度圆直径15.齿高13.齿顶高12δδ-=2,12,1mzd=RbRf=3/14/1～=Rfmxhhaa)(2,1*2,1+=mxchf)1(2,1*2,1-+=2,12,12,1fahhh+=)5.01(2,12Rmddf-=)5.01(RmRRf-=2,12,12,12,1cos2daahdd+=bq22,12,1cosarctanRhff=2121:，，等顶隙收缩齿faqq=2,12,12,1ffqdd-=2,12,11,22,1sin2/dakhdA-=12111)cos/tan22/(smsxxmst-=++=pbapbdbcos6cos42sin122,12,1232,12,12,1____2,1???--=dssRssn2,12,12,1aaqdd+=等顶隙收缩齿：??????+?????????-=2,12,122,12,12,1____2,1cos442sin1dbdshRsha)sin2/(11ddR=RbmbR)(tan-?pb___1ns___2ns___1nh___2nhbd32,12,12,1coscoszzv=)/sinarcsin(mmRRbb=mRnmmmbfcos)5.01(-=26.端面重合度εα1.4326227.轴向重合度εβ1.1994928.法向重合度εαn1.58758A.计算接触应力σHN/mm2520.7411.节点区域系数ZH2.25108当量齿轮端面齿形角αvt22.27272.弹性系数ZE表：14-1-66189.83.重合度系数Zε0.89761当量齿轮纵向重合度εVβ1.01957当量齿轮端面重合度εVα1.24116当量齿轮啮合线长度gVαmm27.6704dvb1mm97.0031dvb2mm918.373dva1mm130.047dva2mm995.651当量齿轮中心距avmmav=(dv1+dv2)/2548.62dv1mm104.824dv2mm992.4164.螺旋角系数Zβ0.942695.锥齿轮系数ZK配对齿轮的齿顶和齿根进行修形0.856.使用系数KA表：14-1-641.257.动载系数KVKV=N·K+11.24472临界转速比N0.05421中点圆周速度vmtm/svmt=πdm1n1/600005.21982系数K4.51428齿距极限偏差fptμm表；14-3-3945跑合量yaμm12.0782单对齿刚度c'N/mm·μm14系数cV120.61071系数cV30.137齿宽中点切向力FmtNFmt=2000×9550P/(n1d1)2448.728.齿向载荷分布系数KHβKHβ=1.5KHβbe1.875轴承系数KHβbe表：14-3-301.25当量齿轮基圆直径当量齿轮分度园直径当量齿轮齿顶圆直径三.接触强度校核计算vveHvmtHHVAKEHHuubdFKKKKZZZZZ11+?=abbesbd32,12,12,1coscoszzv=()()()()2,12,1*2,12,12,1222111cos2cosarccos,cos/tanarctantantancostantancos21daabaaaadaadpeaxhzzzzatvatttvattvat++==???-+-=)/(sinpbebnmmmb=))cos(sincos(arcsin/abeeaa=mnvtmHZab2sin/cos2=)cos/arctan(tanmvtbaa=2/mmN())1(/11(134时时）　　?=+--=baebabbaeeeeeeeeVVVVVVVZZ2,12,12,1cos5.0dRbRdvd-=()2,12,12,12,1tan5.02aavvabhddq-+=vtvvbddacos2,12,1=()vtvvbvavbvavaddddgaasin5.022222121--+-=]cos)5.0(/[vtvvbRmRgapeaa-=)]5.0(/[tan85.0bRmbRmv-=pbebmZbbcos=1100084.0221+?=uuvzNmt()31285.0/'VVmtAaptccbFKcyfK+-=9.齿间载荷分布系数KHα表4-3-311.8141110.有效齿宽beHmmbeH=0.85b47.611.当量圆柱齿轮齿数比uv9.46746B许用接触应力σHPN/mm2670.5251.接触疲劳极限σHlimN/mm2图：14-1-215632.润滑剂系数ZL图：14-1-221.5543.速度系数ZV图：14-1-230.9584.粗糙度系数ZR图：14-1-240.85.尺寸系数ZX表：14-3-3216.最小安全系数SHlim表：14-1-691C.强度条件σH≤σHP满足A.计算齿根应力σFN/mm2104.3941.齿向载荷分布系数KFβKFβ=KHβ=1.5KHβbe1.8752.齿间载荷分布系数KFα表4-3-311.814113.齿形系数YFa图：14-3-242.284.应力修正系数Ysa图：14-3-251.895.重合度系数Yε0.784936.螺旋角系数Yβ0.772547.锥齿轮系数YK1B.许用齿根应力σFPN/mm2353.681.弯曲疲劳极限σFlimN/mm2图：14-1-29292.752.应力修正系数YST23.齿根圆角敏感系数YδrelT图：14-1-300.954.齿根表面状况系数YRrelT图：14-1-740.95.尺寸系数YX图：14-1-310.989116.最小安全系数SFlim表：14-1-691.4C.强度条件σF≤σFP满足1.主动小齿轮齿宽中点处的径向力Fr1563.2572.从动大齿轮齿宽中点处的径向力Fr21511.723.主动小齿轮齿宽中点处的轴向力Fx11511.724.从动大齿轮齿宽中点处的轴向力Fx2563.257四.弯曲强度校核计算五.弯曲强度校核计算苏州.官波.2020/4/3011:47N表：14-3-2121cos/cosdduuv=XRVLHHHPZZZZSlimlimss=KsaFamnmtFFVAFYYYYYbmFKKKKbeabs85.0=()()aeeabVnmoYcossinarcsincos75.25.02+=120/1mVYbebb-=XRrelTrelTFSTFFPYYYSYdsslimlim=010111213141518202530354010000000000001.0200000.050.040.040.040.030.030.020.021.0500000.070.070.060.050.050.040.030.031.0900000.10.10.080.080.060.050.040.041.140000.130.120.110.10.090.080.070.060.061.180000.150.140.140.130.120.10.090.080.071.220000.190.180.170.150.140.120.10.090.081.270000.220.210.20.180.160.130.110.10.091.32000.250.240.230.220.20.180.150.130.120.11.39000.290.270.260.250.220.210.170.150.130.121.46000.330.310.30.270.250.230.20.180.160.141.54000.370.350.330.30.270.250.220.190.170.151.6500.410.390.380.360.340.30.270.240.210.190.161.800.440.420.40.380.360.330.30.260.220.20.191.950.490.480.470.440.420.40.360.340.290.250.220.22.10.530.510.490.470.450.420.390.360.320.270.240.222.40.570.540.510.490.470.450.420.390.340.30.260.242.70.590.550.520.510.490.470.430.40.350.310.270.2530.60.560.530.520.50.480.440.420.360.320.280.2540.610.580.540.530.510.490.450.430.370.340.30.2660.620.60.550.540.520.50.460.440.380.350.310010111213141540100000001.0900000.010.010.011.140000.010.010.010.011.180000.020.020.020.021.32000.020.020.020.020.021.39000.030.030.030.030.031.46000.040.040.040.040.041.6500.050.050.050.050.050.051.950.060.060.060.060.060.060.062.10.060.060.060.060.060.060.062.40.070.070.070.070.070.070.0730.080.080.080.080.080.080.0840.090.090.090.090.090.0