渐开线花键设计计算

根据国标编制,,,,,,,,

项目,,代号,单位,公式,数值（例题）,数值（例题）,数值（例题）,数值（例题）

,,π,,,3.141592654,3.141592654,3.141592654,3.141592654

模数,,m,,必须填写,0.45,2.5,2.5,2.5

齿数,,Z,,必须填写,36,30,30,30

压力角,,αD,,必须填写,45,30,30,30

花键配合长度,,g,,必须填写,9,9,9,9

选用的配合形式,,,,必须填写,H/h,H/h,H/h,H/h

内花键精度等级,,,,必须填写,6,6,6,6

外花键精度等级,,,,必须填写,6,6,6,6

外花键作用齿厚上偏差,,esv,,查表（必须填写）,0,0,0,0

分度圆直径,,D,,,16.2,75,75,75

基圆直径,,Db,,,11.45512986,64.95190528,64.95190528,64.95190528

齿距,,P,,,1.413716694,7.853981634,7.853981634,7.853981634

齿形裕度,,CF,,0.1×m,0.045,0.25,0.25,0.25

内花键大径基本尺寸,,,,,,,,

,30圆齿根,Dei,,,16.875,78.75,78.75,78.75

,30平齿根,Dei,,,17.01,79.5,79.5,79.5

,37.5圆齿根,Dei,,,16.83,78.5,78.5,78.5

,45圆齿根,Dei,,,16.74,78,78,78

内花键大径下偏差,,,,,0,1,2,3

内花键大径公差,,,,从IT12、IT13或IT14中选取,,,,

内花键渐开线终止圆最小值,,,,,,,,

,30平齿根和圆齿根,Dfimin,,,16.74,78,78,78

,37.5圆齿根,Dfimin,,,16.695,77.75,77.75,77.75

,45圆齿根,Dfimin,,,16.65,77.5,77.5,77.5

内花键小径基本尺寸,,Dii,,,,,,

,30圆齿根和平齿根,Dii,,,15.75930758,72.68725649,72.68725649,72.68725649

,37.5圆齿根,Dii,,,15.80279892,72.90683669,72.90683669,72.90683669

,45圆齿根,Dii,,,15.84642726,73.12919523,73.12919523,73.12919523

内花键小径极限偏差,,,,查表,,,,

,,,,,,,,,

基本齿槽宽,,E,,,0.706858347,3.926990817,3.926990817,3.926990817

总公差计算,,T+λ,,,,,,

,公差单位,id,,,1.154834098,1.972723497,1.972723497,1.972723497

,,ie,,,0.401564325,0.713884694,0.713884694,0.713884694

,公差等级为4级,T+λ,,,0.027610914,0.048282623,0.048282623,0.048282623

,公差等级为5级,T+λ,,,0.044177462,0.077252196,0.077252196,0.077252196

,公差等级为6级,T+λ,,,0.069027285,0.120706557,0.120706557,0.120706557

,公差等级为7级,T+λ,,,0.110443656,0.193130491,0.193130491,0.193130491

齿距积累公差,,,,,,,,

,分度圆周长的一半,L,,,25.44690049,117.8097245,117.8097245,117.8097245

,公差等级为4级,Fp,,,0.01891123,0.033435047,0.033435047,0.033435047

,公差等级为5级,Fp,,,0.026907947,0.047531767,0.047531767,0.047531767

,公差等级为6级,Fp,,,0.03772246,0.066770094,0.066770094,0.066770094

,公差等级为7级,Fp,,,0.053815894,0.095063534,0.095063534,0.095063534

齿形公差,,,,,,,,

,公差因数,ψf,,,0.6525,3.4375,3.4375,3.4375

,公差等级为4级,ff,,,0.011044,0.0155,0.0155,0.0155

,公差等级为5级,ff,,,0.01763125,0.02459375,0.02459375,0.02459375

,公差等级为6级,ff,,,0.02761,0.03875,0.03875,0.03875

,公差等级为7级,ff,,,0.04411075,0.06165625,0.06165625,0.06165625

齿向公差,,,,,,,,

,公差等级为4级,Fβ,,,0.0064,0.0064,0.0064,0.0064

,公差等级为5级,Fβ,,,0.008,0.008,0.008,0.008

,公差等级为6级,Fβ,,,0.01005,0.01005,0.01005,0.01005

,公差等级为7级,Fβ,,,0.016,0.016,0.016,0.016

综合公差,,λ,,,,,,

,公差等级为4级,,,,0.01368953,0.022442826,0.022442826,0.022442826

,公差等级为5级,,,,0.019889784,0.032467271,0.032467271,0.032467271

,公差等级为6级,,,,0.028689153,0.046710724,0.046710724,0.046710724

,公差等级为7级,,,,0.042839784,0.068658901,0.068658901,0.068658901

实际齿槽宽最大值,,Emax,,,,,,

,公差等级为4级,,,,0.734469261,3.97527344,3.97527344,3.97527344

,公差等级为5级,,,,0.751035809,4.004243013,4.004243013,4.004243013

,公差等级为6级,,,,0.775885632,4.047697374,4.047697374,4.047697374

,公差等级为7级,,,,0.817302003,4.120121308,4.120121308,4.120121308

实际齿槽宽最小值,,Emin,,,,,,

,公差等级为4级,,,,0.720547877,3.949433643,3.949433643,3.949433643

,公差等级为5级,,,,0.726748131,3.959458088,3.959458088,3.959458088

,公差等级为6级,,,,0.7355475,3.973701541,3.973701541,3.973701541

,公差等级为7级,,,,0.749698132,3.995649718,3.995649718,3.995649718

作用齿槽宽最大值,,Evmax,,,,,,

,公差等级为4级,,,,0.720779731,3.952830613,3.952830613,3.952830613

,公差等级为5级,,,,0.731146026,3.971775742,3.971775742,3.971775742

,公差等级为6级,,,,0.747196479,4.000986649,4.000986649,4.000986649

,公差等级为7级,,,,0.774462219,4.051462407,4.051462407,4.051462407

作用齿槽宽最小值,,Evmin,,,0.706858347,3.926990817,3.926990817,3.926990817

外花键大径基本尺寸,,,,,,,,

,30圆齿根和平齿根,Dee,,,16.65,77.5,77.5,77.5

,37.5圆齿根,Dee,,,16.605,77.25,77.25,77.25

,45圆齿根,Dee,,,16.56,77,77,77

外花键大径上偏差,,,,,0,0,0,0

外花键大径公差,,,,查表,,,,

,hs,,,,,,,

,30圆齿根和平齿根,,,,0.27,1.5,1.5,1.5

,37.5圆齿根,,,,0.2475,1.375,1.375,1.375

,45圆齿根,,,,0.225,1.25,1.25,1.25

外花键渐开线起始圆直径最大值,,Dfemax,,,,,,

,30圆齿根和平齿根,,,,15.66930758,72.18725649,72.18725649,72.18725649

,37.5圆齿根,,,,15.71279892,72.40683669,72.40683669,72.40683669

,45圆齿根,,,,15.75642726,72.62919523,72.62919523,72.62919523

外花键小径基本尺寸,,,,,,,,

,30圆齿根,Die,,,15.525,71.25,71.25,71.25

,30平齿根,Die,,,15.39,70.5,70.5,70.5

,37.5圆齿根,Die,,,15.57,71.5,71.5,71.5

,45圆齿根,Die,,,15.66,72,72,72

外花键小径上偏差,,,,,0,0,0,0

外花键小径公差,,,,从IT12、IT13或IT14中选取,,,,

基本齿厚,,S,,,0.706858347,3.926990817,3.926990817,3.926990817

作用齿厚最大值,,Svmax,,,0.706858347,3.926990817,3.926990817,3.926990817

作用齿厚最小值,,Svmin,,,,,,

,公差等级为4级,,,,0.692936964,3.901151021,3.901151021,3.901151021

,公差等级为5级,,,,0.682570668,3.882205892,3.882205892,3.882205892

,公差等级为6级,,,,0.666520215,3.852994985,3.852994985,3.852994985

,公差等级为7级,,,,0.639254476,3.802519227,3.802519227,3.802519227

实际齿厚最大值,,Smax,,,,,,

,公差等级为4级,,,,0.693168817,3.904547991,3.904547991,3.904547991

,公差等级为5级,,,,0.686968563,3.894523546,3.894523546,3.894523546

,公差等级为6级,,,,0.678169194,3.880280093,3.880280093,3.880280093

,公差等级为7级,,,,0.664018563,3.858331916,3.858331916,3.858331916

实际齿厚最小值,,Smin,,,,,,

,公差等级为4级,,,,0.679247433,3.878708194,3.878708194,3.878708194

,公差等级为5级,,,,0.662680885,3.849738621,3.849738621,3.849738621

,公差等级为6级,,,,0.637831062,3.80628426,3.80628426,3.80628426

,公差等级为7级,,,,0.596414691,3.733860326,3.733860326,3.733860326

,,,,,,,,,

,内花键测量,,,,,,,

,外花键大径最大植,Deemax,,,16.56,77.5,77.5,77.5

,内花键小径最小值,Diimin,,,15.84642726,72.68725649,72.68725649,72.68725649

,实际齿槽宽最大值,Emax,,,0.817302003,4.120121308,4.120121308,4.120121308

,内花键与量棒接触点处直径,Dci,,,16.20321363,75.09362825,75.09362825,75.09362825

,内花键与量棒接触点处的压力角,αci,,,0.785596477,0.525754309,0.525754309,0.525754309

,量棒直径,D'Ri,,,1.097501281,4.567501467,4.567501467,4.567501467

,最终选定的量棒直径,,,,,,,

,内花键量棒中心圆上的压力角,,,,#NAME?,#NAME?,#NAME?,#NAME?

,棒间距,M,,,#NAME?,#NAME?,#NAME?,#NAME?

,Emax,,,,0.775885632,4.047697374,4.047697374,4.047697374

,当E为Emax时，内花键量棒中心圆上的压力角,,,,#NAME?,#NAME?,#NAME?,#NAME?

,上偏差,Mrimax,,,#NAME?,#NAME?,#NAME?,#NAME?

,Emin,,,,0.7355475,3.973701541,3.973701541,3.973701541

,当E为Emin时，内花键量棒中心圆上的压力角,,,,#NAME?,#NAME?,#NAME?,#NAME?

,下偏差,Mrimin,,,#NAME?,#NAME?,#NAME?,#NAME?

,,,,,,,,,

,外花键测量,,,,,,,

,外花键大径最大植,Deemax,,,16.56,77.5,77.5,77.5

,内花键小径最小值,Diimin,,,15.84642726,72.68725649,72.68725649,72.68725649

,实际齿厚最小值,Smin,,,0.596414691,3.733860326,3.733860326,3.733860326

,外花键与量棒接触点处直径,Dce,,,16.20321363,75.09362825,75.09362825,75.09362825

,内花键与量棒接触点处的压力角,αce,,,0.785596477,0.525754309,0.525754309,0.525754309

,量棒直径,D'Re,,,1.223906351,4.998672202,4.998672202,4.998672202

,最终选定的量棒直径,,,,,,,

,内花键量棒中心圆上的压力角,,,,#NAME?,#NAME?,#NAME?,#NAME?

,棒间距,M,,,#NAME?,#NAME?,#NAME?,#NAME?

,Smax,,,,0.678169194,3.880280093,3.880280093,3.880280093

,当E为Emax时，内花键量棒中心圆上的压力角,,,,#NAME?,#NAME?,#NAME?,#NAME?

,上偏差,Mremax,,,#NAME?,#NAME?,#NAME?,#NAME?

,Emin,,,,0.637831062,3.80628426,3.80628426,3.80628426

,当E为Emin时，内花键量棒中心圆上的压力角,,,,#NAME?,#NAME?,#NAME?,#NAME?

,下偏差,Mremin,,,#NAME?,#NAME?,#NAME?,#NAME?

,跨齿数,K,,,6,5,5,5

,总公差,T+λ,,,0.069027285,0.120706557,0.120706557,0.120706557

,加工公差,T,,,0.040338132,0.073995832,0.073995832,0.073995832

,作用齿厚上偏差,esv,,,0,0,0,0

,公法线长度,W,,,7.956359541,34.09912619,34.09912619,34.09912619

,上偏差,Wmax,,,-0.020286295,-0.040452674,-0.040452674,-0.040452674

,下偏差,Wmin,,,-0.048809661,-0.104534945,-0.104534945,-0.104534945

花键强度计算,,,,,,,,

输入扭矩(Nmm),,T,,必须填写,750000,1300000,1300000,1300000

传动比,,,,必须填写,1,10.111,10.111,10.111

花键传递的扭矩,,,,,750000,13144300,13144300,13144300

负荷不均匀分配系数,,K,,,0.75,0.75,0.75,0.75

工作齿高,,,,,,,,

,30圆齿根和平齿根,,,,0.445346211,2.406371753,2.406371753,2.406371753

,37.5圆齿根,,,,0.401100538,2.171581653,2.171581653,2.171581653

,45圆齿根,,,,0.35678637,1.935402384,1.935402384,1.935402384

花键平均直径,,,,,,,,

,30圆齿根和平齿根,,,,16.20465379,75.09362825,75.09362825,75.09362825

,37.5圆齿根,,,,16.20389946,75.07841835,75.07841835,75.07841835

,45圆齿根,,,,16.20321363,75.06459762,75.06459762,75.06459762

挤压应力,,,,,,