直齿圆柱齿轮强度校核

齿轮基本参数计算,,,,,,

TRUE,,,,,,

齿数(小/大),Z,28,38,,,

法向模数,Mn,3,,,,

法向压力角,α,20,,,,

安装中心距,a,102,,,,

螺旋角,β,0,,,,

齿顶高系数,hap,1,,,,

顶隙系数,cp,0.25,,,,

,,,,,,,

理论中心距,a0,99,,,,

分度圆直径,d,84,114,,,

分度圆端面压力角,αt,20.00000017,20.00000017,,,

节圆端面啮合角,αt',24.20915569,24.20915569,,,

,invαt,0.014904384,0.014904384,,,

,invαt',0.02708043,0.02708043,,,

,Arfat,0.349065853,0.349065853,,,

,Arfatp,0.422529476,0.422529476,,,

总变位系数,Xz,1.103963,,,,

变位系数,X,0.538,0.565962512,,,

齿轮宽度,b,16,16,,,

法向中心距变动系数,Yn,1,1,,,

法向齿顶缩短系数,cigmn,0.103962512,0.103962512,,,

齿顶高,ha,4.302112465,4.386,,,

齿全高,h,6.438112465,6.438112465,,,

齿顶圆直径,Da,92.60422493,122.772,,,

齿根圆直径,Df,79.728,109.8957751,,,

基圆直径,Db,78.93418006,107.1249587,,,

顶圆压力角,arfaDa,31.52829184,29.24342953,,,

端面重合度,εa,1.397140663,,,,

轴向重合度,εβ,0,,,,

传动比,u,1.357142857,,,,

端面啮合角弧度值,,0.422529476,0.422529476,,,

共轭齿轮顶圆压力角弧度值,,0.51039413,0.5502725,,,

齿根滑动率,Et,0.866486389,0.865456205,,,

理论接触线长,N1-N2,41.82701549,41.82701549,,,

齿顶圆曲率半径,Pa,24.21227836,29.98836115,,,

渐开线起始圆曲率半径,P0,11.83865435,17.61473714,,,

齿轮接触强度校核,,,,,,

,,,,,,,

输入扭矩（N·M）,T,195,264.6428571,,,

输入转速(r/min),n,2100,1547.368421,,,

圆周速度（mm/s）,v,9.236282244,,,,

分度圆上的圆周力（N）,Ft,4642.857143,,,,

使用系数,KA,2,,,,

动载系数,Kv,1.180344331,,,,

,,K1,39.07,,,

,,K2,0.0193,,,

接触强度计算的重合度系数,Zεβ,0.931461099,,,,

齿向载荷分布系数,KHβ,1.185564989,,,,

TRUE,S/L<0.1,1.185564989,,,,

FALSE,0.1<S/L<0.3,1.185691356,,,,

FALSE,S/L>0.3,1.186976088,,,,

齿间载荷分布系数,Kha,1.2,,,,

KA*Ft/b,580.3571429,≥100N/mm,1.2,,,

,,<100N/mm,1.152578611,,,

节点区域系数,ZH,2.244456778,,,,

材料弹性模量,E,206000,206000,,,

材料泊松比,v,0.3,0.3,,,

弹性系数,ZE,189.8117021,,,,

计算接触应力,σH,1781.331757,1529.086408,,,

试验齿轮接的接触疲劳极限(N/mm2),σHlim,1500,1500,,,

工作总时间,th,4000,4000,,,

应力循环次数,NL,504000000,371368421.1,,,

接触强度计算的寿命系数,ZNT,1.367426458,1.398594273,,,

FALSE,NL≤6×105,1.6,1.6,,,

TRUE,6×105≤NL≤107,1.367426458,1.398594273,,,

FALSE,107＜NL≤109,1.039827884,1.058086362,,,

FALSE,109＜NL≤1010,1.049562739,1.07243695,,,

50oC时润滑油运动粘度（mm2/s）,V50,120,,,,

节点线速度(m/s),v,0.009236282,,,,

相对平均表面粗糙度,RZ10,16,,,,

润滑油膜影响系数,ZLVR,0.841898847,0.848851099,,,

FALSE,NL≤6×105,1,1,,,

TRUE,6×105＜NL≤109,0.841898847,0.848851099,,,

,ZLC,1.01331844,1.01331844,,,

,润滑油系数ZL,1.012088409,1.011540189,,,

,ZVC,0.932378217,0.932378217,,,

,速度系数ZV,0.938623462,0.941406943,,,

,ZRC,0.874661684,0.874661684,,,

,表面粗糙度系数ZR,0.886237368,0.891396606,,,

FALSE,NL＞109,0.92,0.92,,,

大齿轮齿面布氏硬度,HB,400,,,,

工作硬化系数,ZW,1.041176471,,,,

齿面硬度,TRUE,1.041176471,,,,

,FALSE,1.2,,,,

,FALSE,1,,,,

接触强度计算的尺寸系数,ZX,1.039300819,1.037518399,,,

FALSE,NL≤6×105,1,1,,,

TRUE,6×105＜NL＜109,1.039300819,1.037518399,,,

FALSE,NL≥109,1.0433,1.0433,,,

最小安全系数,SHmin,1,,,,

,高可靠度,1.5-1.6,,,,

,较高可靠度,1.25-1.3,,,,

,一般可靠度,1.00-1.10,,,,

,低可靠度,0.85,,,,

许用接触应力,σHP,1868.619027,1923.688159,,,

安全系数,SH,1.04900113,1.258063736,,,

,,满足要求,满足要求,,,

齿轮弯曲强度校核,,,,,,

,,,,,,,

弯曲强度计算的重合系数,Yεβ,0.786810659,,,,

齿向载荷分布系数,KFβ,1.114956682,,,,

,N,0.639266296,,,,

齿间载荷分布系数,KFa,1.2,,,,

KA*Ft/b,580.3571429,≥100N/mm,1.2,,,

,,<100N/mm,1.615323571,,,

复合齿形系数,YFS,4.15,4.2075,,,

外齿轮齿形系数,Yfa,2.5,2.55,,,

外齿轮应力修正系数,YSa,1.66,1.65,,,

计算弯曲应力,σF,997.5630855,1011.384743,,,

齿轮材料弯曲疲劳强度基本值(N/mm2),σFE,900,900,,,

试验齿轮的弯曲疲劳极限(N/mm2),σFlim,450,450,,,

试验齿轮的应力修正系数,YST,2,2,,,

工作总时间(小时),th,4000,4000,,,

应力循环次数,NL,504000000,371368421.1,,,

弯曲强度计算的寿命系数,YNT,0.77398855,0.785897332,,,

FALSE,NL≤103,2.5,2.5,,,

TRUE,103＜NL≤3×106,0.77398855,0.785897332,,,

FALSE,3×106＜NL≤1010,0.895307019,0.900791958,,,

相对齿根圆角敏感系数,YδRelT,1,1,,,

相对齿根表面状况系数,YRrelT,1,1,,,

弯曲强度计算的尺寸系数,Yx,1,,,,

法向模数,TRUE,1,,,,

,FALSE,0.85,,,,

,FALSE,0.8,,,,

,FALSE,0.8,,,,

最小安全系数,SFmin,1.2,,,,

,高可靠度,2,,,,

,较高可靠度,1.6,,,,

,一般可靠度,1.25,,,,

,低可靠度,1,,,,

许用弯曲应力,σFP,580.4914124,589.4229987,,,

安全系数,SF,0.698291371,0.699345727,,,

,,不满足要求,不满足要求,,,

,,,,,,,

青色,,参数输入,,,,

,,,,,,,

黄色,,选择输入,,,,

,,,,,,,

绿色,,校核结果,,,,

,,,,,,,

■《机械设计》(第四版）邱宣怀等编著高等教育出版社,,,,,