1. 设计任务及要求已知:齿轮Z511，Z632,分度圆压力角20°，模数m 6，齿轮为正常齿制，工作情况位开式传动，齿轮Z6与曲柄共轴要求:1）用C语言编写程序计算A. 中心距a（圆整尾数为5或0或双数）；B. 啮合角；C. 按小轮不发生根切为原则分配变位系数X5、X6 ；D. 计算基圆直径d b5、d b6，分度圆直径d5、d6,节圆直径d 5、d6,分度圆齿厚S5、S，基圆齿厚S b5、S b6，齿顶圆齿厚S a5、S a6, 节圆展角；E.重合度；2）计算出齿形曲线，在2号图纸上绘制齿轮传动的啮合图3）编写出计算说明书。

2. 数学模型1）2) 实际中心距a的确定：a(z5 z6)m2/；a = (a/5+1)3)/啮合角cos( /)m( z5 z6) cos()；2inv2tan (X5 X6)/(Z5 26)inv；4）按小轮不发生根切为原则分配变位系数X5、X6 ；Z mi n=2ha*/sinX5 min h a (Z min(inv X5 X6 Z5)/ Z min ；X0min/ .inv)(Z5 Z e).h a (Z min Z ) /Z min ；5)齿轮基本参数注：下列尺寸单位为mm 模数：m=6压力角：o20齿数：Z5=11 Z6=32齿顶咼系数：*h a「0齿根高系数：c* 0.25分度圆分离系数：y 1(z5 Z6)(C0S1)COS g齿顶咼变动系数：X5^X6 y分度圆直径；d5 m Z5 d6 m z 基圆直径；d b5 m ZCOSd b6 m Z6COS齿顶咼：*h a5 m(h a X5 ) h a6 % X6 )齿根高：*h f5 m(h a *C X5)*h f6 m(h a *C X6)齿顶圆直径：d a5 d5 2h a5d a6 d6 2h a6 齿根圆直径；d f5 d5 2h f5d f6 d62h f6节圆直径：d5 d5COS1 COS g7)S b5S^^ 2rb5inv cos d bJ d asinv；「5S b6S6fJb6 2"invCOSd b6'da6inv；「66) 1重合度：〒吃伽 a5tan )Z 6(tan a 6tan )]1 1a5 cos (d b5/d a5)a6COS (d b6/d a6),o20一般情况应保证1.2齿距: 节圆齿距： 基圆齿距； 分度圆齿厚: cos d6 d6cos aP= m1p cos p -cos a PbpcosS 51 —m22x 5mtan S6 1 —m 2 2 x 6 mtan节圆展角: 5 tanCOS d b5 d 56tan COS d b6 d 6cos d b5d 5 ；cos d b6d 6 ；基圆齿厚:齿顶厚：$52r a5(i nva5inv ) r53 牛60nv a6 )r6一般取$ 0.257)3. 程序框图输入m Z5Z6h a C计算a a y d5 d6 d b5 d b6 d6 p p i P b 计算X5min X6min4 •程序清单及运行结果(1)程序清单#in clude"math.h" #in clude"stdio.h" #defi ne z5 11.0 #define z6 32.0 #define t 20*3.14/180 /*yalijiao,unit:rad*/#defi ne m 6 /*moshu*/ #defi ne hax 1.0 #defi ne cx 0.25 #define Zmin 17.0 #defi ne pi 3.14 mai n() { int a,ai; double ti;/*ni ehejiao*/ /*jiyua nzhij in g*/ /*fe nduyua nzhij in g*/ /*chidi nggao*/ /*chige ngao*/ /*chige nyuan zhij ing*/ /*jieyua nzhiji ng*//*chidi ngyua nzhij in g*//*chiju*/ /*jieyua nchiju*/ /*jiyua nchiju*/ /*chihou*/double x5,x6,xh; double db5,db6; double d5,d6; double ha5,ha6; double hf5,hf6; double df5,df6; double di5,di6; double da5,da6; double p; double p1; double pb; double S5,S6;double Sb5,Sb6;/*jiyua nchihou*//*ch on ghedu*/double y,Xmi n5,Xmi n6; /*y shife nlixishu*/ double cdb;/*chidi ngaobia ndon gxishu*/ int j,i;a=m*(z5+z6)/2; prin tf("a=%d\n",a);i=a/5; ai=(i+1)*5; prin tf("ai=%d(mm)\n",ai);ti=acos(a*cos(t)/ai); prin tf("ti=%4.3f(rad)\n",ti);cdb=z6/z5;prin tf("\n cdb=%5.3f\n",cdb);y=0.5*(z5+z6)*(cos(t)/cos(ti)-1); prin tf("y=%5.3lf\n ”,y);d5=m*z5; d6=m*z6;prin tf("d5=%5.3lf,d6=%5.3lf(mm)\n",d5,d6);db5=m*z5*cos(t); db6=m*z6*cos(t);double Sa5,Sa6;/*chid inghou*/double o5,o6; /*jieyua nzhanjiao*/ double e; double cgm;prin tf("db5=%5.3lf,db6=%5.3lf di5=d5*cos(t)/cos(ti); di6=d6*cos(t)/cos(ti); prin tf("di5=%5.3lf,di6=%5.3lf(mm)\n ”,di5,di6);p=m*pi;p 仁 p*cos(t)/cos(ti); pb=pi*m*cos(t);prin tf("p=%5.3lf,p 1=%5.3lf,pb=%5.3lf\n ",p,p1,pb);Xmi n5=hax*(Zmi n-z5)/Zmi n; prin tf("Xmi n5=%3.4lf Xmi n6=hax*(Zmi n-z6)/Zmi n;prin tf("Xmi n6=%3.4lfxh=0.5*(ta n(ti)-ti-(ta n( t)-t))*(z5+z6)/ta n( t); prin tf("xh=x5+x6=%5.3f\n ”,xh);for(j=0;j<10;j++) { x5=Xmi n5+0.04*j; x6=xh-x5;if(x6<Xmi n6)break;cgm=x5+x6_y;ha5=m*(hax+x5-cgm); ha6=m*(hax+x6-cgm);hf5=(hax+cx-x5)*m; hf6=(hax+cx-x6)*m;(mm)\n",db5,db6);(mm)\n\n ",Xmi n5);(mm)\n\n ”,Xmida5=d5+2*ha5;da6=d6+2*ha6;df5=d5-2*hf5;df6=d6-2*hf6;S5=0.5*pi*m+2*x5*m*ta n( t);S6=0.5*pi*m+2*x6*m*ta n( t);Sb5=S5*db5/d5-db5*(ta n(acos(db5/db5))-acos(db5/db5)-(ta n( t)-t));Sb6=S6*db6/d6-db6*(ta n(acos(db6/db6))-acos(db6/db6)-(ta n( t)-t));Sa5=S5*da5/d5-da5*(ta n(acos(db5/da5))-acos(db5/da5)-(ta n( t)-t));Sa6=S6*db6/d6-da6*(ta n(acos(db6/da6))-acos(db6/da6)-(ta n( t)-t));o5=ta n( acos(db5/di5))-acos(db5/di5);o6=ta n(acos(db6/di6))-acos(db6/di6);e=(z5*(ta n(acos(db5/da5))-ta n( ti))+z6*(ta n( acos(db6/da6))-ta n(ti)))/(2*pi);if((S5>cx*m)&&(S6>cx*m)&&(Sb5>cx*m) &&(Sb6>cx*m)&&(Sa5>cx*m)&&(Sa6>cx*m)&&(e>1.2)){ printf("a=%d \n ",a);prin tf("ai=%d (mm)\n",ai);prin tf("ti=%4.3f (rad)\n",ti);prin tf("\n cdb=%5.3f \n",cdb);prin tf("y=%5.3lf \n ",y):xh=x5+x6=0.171 a=129 ai=130 (mm) ti=0.369 (rad)cdb=2.909 y=0.167 d5=66.000,d6=192.000 (mm)db5=62.024,db6=180.433 (mm) di5=66.512,di6=193.488 (mm) p=18.840,p1=18.986,pb=17.705 x5=0.353,x6=-0.182 (mm) cgm=0.005 ha5=8.089,ha6=4.882 (mm)hf5=5.382,hf6=8.589 (mm) da5=82.178,da6=201.765 (mm) df5=55.235,df6=174.822 (mm) S5=10.961,S6=8.628 (mm) Sb5=11.223,Sb6=10.793 (mm) Sa5=2.243,Sa6=3.758 (mm) o5=0.01778,o6=0.01778 (rad) e=1.421 a=129 ai=130 (mm) ti=0.369 (rad)cdb=2.909 y=0.167 d5=66.000,d6=192.000 (mm)db5=62.024,db6=180.433 (mm) di5=66.512,di6=193.488 (mm) p=18.840,p1=18.986,pb=17.705 x5=0.393,x6=-0.222 (mm) cgm=0.005 ha5=8.329,ha6=4.642 (mm)hf5=5.142,hf6=8.829 (mm) da5=82.658,da6=201.285 (mm) df5=55.715,df6=174.342 (mm) S5=11.135,S6=8.453 (mm) Sb5=11.387,Sb6=10.629 (mm) Sa5=2.053,Sa6=3.843 (mm) o5=0.01778,o6=0.01778 (rad) e=1.411 a=129ai=130 (mm) ti=0.369 (rad)cdb=2.909y=0.167d5=66.000,d6=192.000 (mm) db5=62.024,db6=180.433 (mm) di5=66.512,di6=193.488 (mm)p=18.840,p1=18.986,pb=17.705 x5=0.433,x6=-0.262 (mm)cgm=0.005 ha5=8.569,ha6=4.402 (mm) hf5=4.902,hf6=9.069 (mm) da5=83.138,da6=200.805 (mm) df5=56.195,df6=173.862 (mm) S5=11.310,S6=8.278 (mm) Sb5=11.551,Sb6=10.465 (mm) Sa5=1.858,Sa6=3.924 (mm) o5=0.01778,o6=0.01778 (rad) e=1.401a=129ai=130 (mm)ti=0.369 (rad)cdb=2.909y=0.167d5=66.000,d6=192.000 (mm) db5=62.024,db6=180.433 (mm) di5=66.512,di6=193.488 (mm)p=18.840,p1=18.986,pb=17.705 x5=0.473,x6=-0.302 (mm)cgm=0.005ha5=8.809,ha6=4.162 (mm) hf5=4.662,hf6=9.309 (mm) da5=83.618,da6=200.325 (mm)df5=56.675,df6=173.382 (mm)S5=11.485,S6=8.104 (mm)Sb5=11.716,Sb6=10.301 (mm)Sa5=1.658,Sa6=4.002 (mm) o5=0.01778,o6=0.01778 (rad) e=1.3905 •设计总结6 •参考文献1.《机械原理》孙陈作模，高等教育出版社，1995.8 桓、。