直齿圆柱齿轮强度校核

齿数(小/大)Z2838法向模数Mn法向压力角α安装中心距a螺旋角β齿顶高系数hap顶隙系数cp理论中心距a0分度圆直径d84114分度圆端面压力角αt20.0000001720.00000017节圆端面啮合角αt'24.2091556924.20915569invαt0.0149043840.014904384invαt'0.027080430.02708043Arfat0.3490658530.349065853Arfatp0.4225294760.422529476总变位系数Xz变位系数X0.5380.565962512齿轮宽度b1616法向中心距变动系数Yn11法向齿顶缩短系数cigmn0.1039625120.103962512齿顶高ha4.3021124654.386齿全高h6.4381124656.438112465齿顶圆直径Da92.60422493122.772齿根圆直径Df79.728109.8957751基圆直径Db78.93418006107.1249587顶圆压力角arfaDa31.5282918429.24342953端面重合度εa轴向重合度εβ传动比u端面啮合角弧度值0.4225294760.422529476共轭齿轮顶圆压力角弧度值0.510394130.5502725齿根滑动率Et0.8664863890.865456205理论接触线长N1-N241.8270154941.82701549齿顶圆曲率半径Pa24.2122783629.98836115渐开线起始圆曲率半径P011.8386543517.61473714输入扭矩（N·M）T195264.6428571输入转速(r/min)n21001547.368421圆周速度（mm/s）v分度圆上的圆周力（N）Ft使用系数KAK139.07K20.01931.357142857399Kv动载系数20010.2510201.39714066324642.8571431.1803443319.236282244齿轮基本参数计算齿轮接触强度校核1.103963接触强度计算的重合度系数Zεβ齿向载荷分布系数KHβTRUES/L0.1FALSE0.1S/L0.3FALSES/L0.3齿间载荷分布系数Kha≥100N/mm1.2100N/mm1.152578611节点区域系数ZH材料弹性模量E206000206000材料泊松比v0.30.3弹性系数ZE计算接触应力σH1781.3317571529.086408试验齿轮接的接触疲劳极限(N/mm2)σHlim15001500工作总时间th40004000应力循环次数NL504000000371368421.1接触强度计算的寿命系数ZNT1.3674264581.398594273FALSENL≤6×1051.61.6TRUE6×105≤NL≤1071.3674264581.398594273FALSE107＜NL≤1091.0398278841.058086362FALSE109＜NL≤10101.0495627391.0724369550oC时润滑油运动粘度（mm2/s）V50节点线速度(m/s)v相对平均表面粗糙度RZ10润滑油膜影响系数ZLVR0.8418988470.848851099FALSENL≤6×10511TRUE6×105＜NL≤1090.8418988470.848851099ZLC1.013318441.01331844润滑油系数ZL1.0120884091.011540189ZVC0.9323782170.932378217速度系数ZV0.9386234620.941406943ZRC0.8746616840.874661684表面粗糙度系数ZR0.8862373680.891396606FALSENL＞1090.920.92大齿轮齿面布氏硬度HB工作硬化系数ZWTRUEFALSEFALSE接触强度计算的尺寸系数ZX1.0393008191.037518399FALSENL≤6×105110.9314610991.0411764714001.21.1855649891.1856913561.1869760881.185564989KA*Ft/b2.244456778189.81170211.2580.3571429齿面硬度1200.0092362821611.041176471TRUE6×105＜NL＜1091.0393008191.037518399FALSENL≥1091.04331.0433最小安全系数SHmin高可靠度较高可靠度一般可靠度低可靠度许用接触应力σHP1868.6190271923.6881591.049001131.258063736满足要求满足要求弯曲强度计算的重合系数Yεβ齿向载荷分布系数KFβN齿间载荷分布系数KFa≥100N/mm1.2100N/mm1.615323571复合齿形系数YFS4.154.2075外齿轮齿形系数Yfa2.52.55外齿轮应力修正系数YSa1.661.65计算弯曲应力σF997.56308551011.384743齿轮材料弯曲疲劳强度基本值(N/mm2)σFE900900试验齿轮的弯曲疲劳极限(N/mm2)σFlim450450试验齿轮的应力修正系数YST22工作总时间(小时)th40004000应力循环次数NL504000000371368421.1弯曲强度计算的寿命系数YNT0.773988550.785897332FALSENL≤1032.52.5TRUE103＜NL≤3×1060.773988550.785897332FALSE3×106＜NL≤10100.8953070190.900791958相对齿根圆角敏感系数YδRelT11相对齿根表面状况系数YRrelT11弯曲强度计算的尺寸系数YxTRUEFALSEFALSEFALSE最小安全系数SFmin高可靠度较高可靠度一般可靠度低可靠度许用弯曲应力σFP580.4914124589.422998710.7868106590.80.810.851.5-1.61.25-1.3安全系数SHKA*Ft/b580.3571429法向模数1.25齿轮弯曲强度校核11.00-1.100.8521.61.20.6392662961.1149566821.210.6982913710.699345727不满足要求不满足要求青色黄色绿色安全系数SF■《机械设计手册》(第3卷）主编：徐灏机械工业出版社■《齿轮手册》(上册)第二版齿轮手册编委会机械工业出版社参数输入选择输入校核结果■《机械设计》(第四版）邱宣怀等编著高等教育出版社