渐开线花键计算

计算项目符号单位一、已知小齿轮最大转速nmaxrpm额定转速n1电动机最大扭矩Tmaxnm最高车速Vmaxkm/h滚动半径rmm总最大传动比i总max材料40Cr二、参数1.模数m2.齿数z3.压力角αD°4.分度园直径Dmm5.基圆直径Dbmm6.齿距pmm7.内花键大径基本尺寸Deimm8.内花键大径下偏差9.内花键大径公差10.内花键终止圆最小值DFiminmm齿形裕度CF11.内花键小径基本尺寸Dii12.外花键大径基本尺寸Deemm13.外花键起始圆最大值DFemaxhS外花键作用齿厚上偏差esvmm14.外花键小径基本尺寸Die15.基本齿厚S16.工作齿高hWmm17.花键长度lmm18.全齿高hmm19.齿根圆角半径ρA.载荷1.名义切向力FtN渐开线花键基本参数三、接触强度22max)sintan/5.0sin5.0()5.0(2DDVSDbFeeshDDD2.单位载荷WB.接触强度1.齿面压应力σH2.材料的屈服强度σ0.23.齿面接触强度安全系数SH4.使用系数K15.齿侧间隙系数K26.分配系数K37.轴向侧偏载系数K48.齿面许用压应力σHpC.强度条件四.齿根弯曲强度1.齿根弯曲应力σF渐开线起始圆上的弦齿厚SFn渐开线起始圆直径DFe2.抗拉伸强度σb3.抗弯强度安全系数SF3.齿根许用弯曲应力σFp4.强度要求五.齿根剪切强度1.齿根最大扭转剪切应力TFmaxTtndhKαtn2.许用应力TFp3.强度条件六.108循环数下工作耐磨损1.齿面压应力σH2.齿面许用压应力σHp13.强度条件七.长期工作无磨损时耐磨损1.齿面许用压应力σHp22.强度条件八.外花键扭转与抗弯曲强度1.弯矩Mb2.弯矩应力σFn3.剪切应力Ttn4.当量应力σV5.许用应力σVP6.强度条件公式及数据来源结果备注1100040004002803444.5HRC52取值2.25取值13取值3029.2525.3317.06933.330°圆齿根给定0从IT12、IT13或IT14中选31.950.22527.40631.526.9561.35查表5-3-62-0.002f级25.23.5342.047563.150.927350.427渐开线花键基本参数三、接触强度mzDDbmzDcosmp)8.1(zmDeiFFiCzmD2)1(minmCF1.0)1(zmDee22max)sintan/5.0sin5.0()5.0(2DDVSDbFeeshDDDm6.0hs)8.1(zmDiemS5.02hminwiieeDDhFFeCD2DmaxiiDT/2000Ft2hieeeDDm4.043.38121.194查机械设计手册3.1-54屈服点σS785取1.25～1.50，淬火取较大值，相反取较小值1.5表5-3-351取1.1～3.01.1精度大于等不5级取1.1～1.21.1表5-3-361.4308.933σH≤σHp满足0.97726.956取DFe=DFemax26.956查机械设计手册3.1-54980渐开线花键取1.00～1.501.2482.094σF≤σFp满足238.580106.88426.712查5-3-390.32.232241.047满足21.194查5-3-38185满足DT/2000Ft)cos/(WDtzlFWhW/H)KKKK/(43212.0HpHS2F/cosh6FnDSW}2)]cos(arccos[360sin{FnFeDDFeDDinvinvDSDS)KKKK/(4321FpFbStntnTTFmax3tn16000hdTTeeieeeieieDDDKDDdh23/1tn04.0238.21.0138.61.094.3117.01hhDhhhdDiehie2/FpFpTFpTTFmaxwHhW/1HpH0.3倍洛氏硬度表5-3-3815.6不满足不能长期无磨损或少磨损工作作用在花键副上的弯矩00106.884185.128386.167满足2HpH332000hbFndM316000htndTT223tnFnVTVPV)/(43212.0KKKKSFVP可改公式判断查表及选择