錐齒輪的傳動設計計算

錐齒輪傳動設計計算,,,,

計算項目,符號,單位,公式及數(shù)據來源,結果

一.已知條件,,,,

傳遞功率,P,kw,15,

小齒輪轉速,n1,rpm,1000,

傳動比,i,,3,

軸交角,∑,°,正交傳動,90

齒線形狀,,,圓周速度>5m,斜齒

小齒輪材料及熱處理,,,42SiMn調質至：,HB242

大齒輪材料及熱處理,,,45調質至：,HB229

材料及熱處理質量等級,,,MQ,

原動機特性,,,均勻平穩(wěn),

工作機特性,,,輕微振動,

第二公差組精度等級,,,9,

潤滑油50℃名義運動粘度,ν50,mm2/s,220,

齒面粗糙度,Ra1/Ra2,μm,6.3,

可靠性要求,,,失效概率低于1/100,

齒輪支撐形式,,,一輪兩端支撐，一輪懸臂支撐,

初定小齒輪分度圓直徑,d1',,120,

主動輪,,,小齒輪,

主動輪轉向,,,左轉,

主動輪旋向,,,左旋,

二.幾何計算,,,,

1.齒形制,,,GB12369-90,

齒形角,α,°,GB12369-90,20

齒頂高系數(shù),ha*,,GB12369-90,1

頂隙系數(shù),c*,,GB12369-90,0.2

2.大端端面模數(shù),m,mm,,9

3.齒數(shù)比,u,,,3

4.齒數(shù),z1,,,13

,z2,,,39

5.變位系數(shù),x1,,表14-3-8,0.52

,x2,,高變位：x2=-x1,-0.52

,xt1,,表14-3-9,0.08

,xt2,,高變位：x2=-x1,-0.08

6.分錐角,δ1,°,,18.43494882

,,,,,

,δ2,°,,71.56505118

7.分度圓直徑,d1,mm,,117

,d2,mm,,351

,dm1,mm,,99.60747287

,dm2,mm,,298.8224186

8.錐距,R,,,184.9932431

,Rm,mm,,157.4932431

9.齒寬,b,mm,,55

齒寬系數(shù),φR,,,0.297308156

10.螺旋角,β,°,,0

11.齒寬中點的螺旋角,βm,°,,0

12.齒寬中點法向模數(shù),mmn,mm,,7.662113298

13.齒頂高,ha１,mm,,13.68

,ha２,mm,,4.32

14.齒根高,hf１,mm,,6.12

,hf２,mm,,15.48

15.齒高,h１,mm,,19.8

,h２,mm,,19.8

16.齒頂圓直徑,da1,mm,,142.955975

,da2,mm,,353.7322079

17.齒根角,θf1,°,,1.894784518

,θf2,°,,4.783294528

18.齒頂角,θa1,°,,1.894784518

,θa2,°,,4.783294528

19.頂錐角,δa1,°,,20.32973334

,δa2,°,,76.34834571

20.根錐角,δf1,°,,16.54016431

,δf2,°,,66.78175665

21.外錐高,Ak1,mm,,171.1740042

,Ak2,mm,,54.40168815

22.分度圓弧齒厚,s1,mm,,18.26392833

,s2,mm,,10.01040555

23.分度圓弦齒厚,,mm,,18.19717052

,,mm,,10.01026985

24.分度圓弦齒高,,mm,,4.342570243

,,mm,,4.34257009

25.當量齒數(shù),zv1,,,13.70320319

,zv2,,,123.3288287

26.端面重合度,εα,,,1.481003265

27.軸向重合度,εβ,,,0

28.法向重合度,εαn,,,1.481003265

三.接觸強度校核計算,,,,

A.計算接觸應力,σH,N/mm2,,0

1.節(jié)點區(qū)域系數(shù),ZH,,,2.494573171

當量齒輪端面齒形角,αvt,,,20

2.彈性系數(shù),ZE,,表：14-1-66,0

3.重合度系數(shù),Zε,,,0.939433035

當量齒輪縱向重合度,εVβ,,,0

當量齒輪端面重合度,εVα,,,1.352396717

當量齒輪嚙合線長度,gVα,mm,,30.59062614

當量齒輪基圓直徑,dvb1,mm,,98.66349226

,dvb2,mm,,887.9714303

當量齒輪齒頂圓直徑,dva1,mm,,130.5359695

,dva2,mm,,948.9971285

當量齒輪中心距,av,mm,av=(dv1+dv2)/2,524.9774771

當量齒輪分度園直徑,dv1,mm,,104.9954954

,dv2,mm,,944.9594587

4.螺旋角系數(shù),Zβ,,,1

5.錐齒輪系數(shù),ZK,,配對齒輪的齒頂和齒根不進行修形,1

6.使用系數(shù),KA,,表：14-1-64,1.25

7.動載系數(shù),KV,,KV=N·K+1,1.355551409

臨界轉速比,N,,,0.054029934

中點圓周速度,vmt,m/s,vmt=πdm1n1/60000,5.215435083

系數(shù),K,,,6.580637487

齒距極限偏差,fpt,μm,表；14-3-39,45

跑合量,ya,μm,,0

單對齒剛度,c',N/mm·μm,,14

系數(shù),cV12,,,0.66

系數(shù),cV3,,,0.23

齒寬中點切向力,Fmt,N,Fmt=2000×9550P/(n1d1),2448.717949

8.齒向載荷分布系數(shù),KHβ,,KHβ=1.5KHβbe,1.875

軸承系數(shù),KHβbe,,表：14-3-30,1.25

9.齒間載荷分布系數(shù),KHα,,表4-3-31,1.814107128

10.有效齒寬,beH,mm,beH=0.85b,46.75

11.當量圓柱齒輪齒數(shù)比,uv,,,9

B許用接觸應力,σHP,N/mm2,,670.5248928

1.接觸疲勞極限,σHlim,N/mm2,圖：14-1-21,563

2.潤滑劑系數(shù),ZL,,圖：14-1-22,1.554

3.速度系數(shù),ZV,,圖：14-1-23,0.958

4.粗糙度系數(shù),ZR,,圖：14-1-24,0.8

5.尺寸系數(shù),ZX,,表：14-3-32,1

6.最小安全系數(shù),SHlim,,表：14-1-69,1

C.強度條件,,,σH≤σHP,滿足

四.彎曲強度校核計算,,,,

A.計算齒根應力,σF,N/mm2,,#N/A

1.齒向載荷分布系數(shù),KFβ,,KFβ=KHβ=1.5KHβbe,1.875

2.齒間載荷分布系數(shù),KFα,,表4-3-31,1.814107128

3.齒形系數(shù),YFa,,圖：14-3-24,#N/A

4.應力修正系數(shù),Ysa,,圖：14-3-25,#N/A

5.重合度系數(shù),Yε,,,0.804571

6.螺旋角系數(shù),Yβ,,,1

7.錐齒輪系數(shù),YK,,,1

B.許用齒根應力,σFP,N/mm2,,492.6065366

1.彎曲疲勞極限,σFlim,N/mm2,圖：14-1-29,292.75

2.應力修正系數(shù),YST,,,2

3.齒根圓角敏感系數(shù),YδrelT,,圖：14-1-30,0.95

4.齒根表面狀況系數(shù),YRrelT,,圖：14-1-74,0.9

5.尺寸系數(shù),YX,,圖：14-1-31,0.98402732

6.最小安全系數(shù),SFlim,,表：14-1-69,1

C.強度條件,,,σF≤σFP,#N/A

五.彎