(13.5)-13-7 滚动轴承例题分析

第13章滚动轴承§13-1概述§13-2滚动轴承的主要类型和代号§13-3滚动轴承的类型选择§13-4滚动轴承的工作情况§13-5滚动轴承尺寸的选择§13-6轴承装置的设计§13-7滚动轴承例题分析§13-7

滚动轴承例题分析设根据工作条件决定在轴的两端反装两个角接触球轴承。已知轴上齿轮受切向力Ft=2200N，径向力Fr=900N，轴向力Fa=400N，齿轮分度圆直径d=314mm，齿轮转速n=520rpm，运转中有中等冲击载荷，轴承预期计算寿命L’h=15000h。设初选两个轴承型号均为7207C，试验算轴承是否可达到预期计算寿命的要求。32020021解：1.求径向载荷

先求两处径向载荷垂直和水平分量

Fr2VFr1VFr2HFr1HFteFaeFreFaeFreFteFd=eFr求总径向载荷2.求两轴承的派生轴向力Fd1和Fd2

查表得7207C轴承的基本额定动载荷与基本额定静载荷为C=30500NC0=20000N对于70000C型轴承，派生轴向力Fd=1.14FrFd=0.68FrFd=eFrFd=Fr／(2Y)70000B(a=40º)70000AC(a=25º)70000C(a=15º)角接触球轴承圆锥滚子轴承其中e为判断系数，按下表13-5选取21FaeFreFteFd2Fd1轴承类型相对轴向载荷Fa/Fr

≤eFa/Fr>e名称代号f

0Fa/C0r

Fa/C0

XYXY判断系数e调心球轴承10000—

—1(Y1)0.65(Y2)(e)调心滚子轴承20000—

—1(Y1)0.67(Y2)(e)推力调心滚子轴承29000—

—11.211.2圆锥滚子轴承30000—

—100.4(Y)(e)深沟球轴承60000角接触球轴承0.1722.300.190.3451.990.220.6891.710.261.0301.550.281.380—100.561.450.302.0701.310.343.4501.150.385.1701.040.426.8901.000.440.0151.470.380.0291.400.400.0581.300.430.0871.230.460.120100.441.190.470.1701.120.500.2901.020.550.4401.000.560.5801.000.56—

—100.410.870.68—

—100.350.571.1470000AC

α=25˚70000Bα=40˚

70000C

α=15˚表13-5径向动载荷系数X与轴向动载系数Y因为Fa未知，初选e=0.4

0.40Fd1=eFr1Fd2=eFr2于是Fa1=Fae+Fd2Fa2=Fd2=605.05NFa1/C0=1005.05/20000=0.0503Fa2/C0=605.05/20000=0.0303重新查表选取判断系数e

派生轴向力:=0.4×875.65=350.26N

=0.4×1512.62=605.05N=400+605.05=1005.05N轴承类型相对轴向载荷Fa/Fr

≤eFa/Fr>e名称代号f

0Fa/C0r

Fa/C0

XYXY判断系数e调心球轴承10000—

—1(Y1)0.65(Y2)(e)调心滚子轴承20000—

—1(Y1)0.67(Y2)(e)推力调心滚子轴承29000—

—11.211.2圆锥滚子轴承30000—

—100.4(Y)(e)深沟球轴承60000角接触球轴承0.1722.300.190.3451.990.220.6891.710.261.0301.550.281.380—100.561.450.302.0701.310.343.4501.150.385.1701.040.426.8901.000.440.0151.470.380.0291.400.400.0581.300.430.0871.230.460.120100.441.190.470.1701.120.500.2901.020.550.4401.000.560.5801.000.56—

—100.410.870.68—

—100.350.571.1470000AC

α=25˚70000Bα=40˚

70000C

α=15˚表13-5径向动载荷系数X与轴向动载系数Y0.029没有相同的值0.05030.400..0580.43Fa/C0重新查表选取判断系数e

重新计算派生轴向力Fd1=e1Fr1=0.422×875.65=369.52N

Fd2=e2Fr2=0.401×1512.62=606.56Ne1=0.422e2=0.401Fa1=Fae+Fd2Fa2=Fd2=606.56NFa1/C0=1006.56/20000=0.05033Fa2/C0=606.56/20000=0.03033两次计算Fa2/C0结果相差不大，故取

重新计算轴向力e1=0.422e2=0.401Fa1=1006.56NFa2=606.56N=400+606.56=1006.56N3.求轴承的当量动载荷P1和P2

查下页表并插值可求得径向载荷系数X和轴向载荷系数Y轴承类型相对轴向载荷Fa/Fr

≤eFa/Fr>e名称代号f

0Fa/C0r

Fa/C0

XYXY判断系数e调心球轴承10000—

—1(Y1)0.65(Y2)(e)调心滚子轴承20000—

—1(Y1)0.67(Y2)(e)推力调心滚子轴承29000—

—11.211.2圆锥滚子轴承30000—

—100.4(Y)(e)深沟球轴承60000角接触球轴承0.1722.300.190.3451.990.220.6891.710.261.0301.550.281.380—100.561.450.302.0701.310.343.4501.150.385.1701.040.426.8901.000.440.0151.470.380.0291.400.400.0581.300.430.0871.230.460.120100.441.190.470.1701.120.500.2901.020.550.440