齿轮 6Z 与曲柄共轴。

五、要求：1）用C 语言编写程序计算①中心距a '（圆整尾数为5或0或双数）； ②啮合角α'； ③ 按小轮不发生根切为原则分配变位系数1x 、2x ； ④计算基圆直径1b d 、2b d ，分度圆直径1d 、2d ，节圆直径1d '、2d '，分度圆齿厚1S 、2S ，基圆齿厚1b S 、2b S ，齿顶圆齿厚1a S 、2a S ，节圆展角θ；⑤重合度ε。

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。

指导教师：郝志勇 席本强开始日期： 2011年 6 月 26 日 完成日期：2011年 6 月30 日目录1.设计容及要求 (1)2.齿轮啮合原理图 (2)3.数学模型 (3)4.程序说明图 (5)5.程序列表及其运行结果 (6)6.设计总结 (14)7.参考文献 (15)1.设计容级要求齿轮的设计已知：齿数Z5、Z6，模数m,分度圆压力角α，齿数为正常齿制，工作情况为开式传动，轮齿Z6与曲柄共轴。

要求：1）用C语言编写程序计算①中心距a′(圆整尾数为5或0或双数)；②啮合角α′；③按小齿轮不发生根且为原则分配变为系数x1、x2;④计算基圆直径d b1、d b2，分度圆直径d1、d2,节圆直径d`1、d`2,分度圆齿厚s1、s2，基圆齿厚s b1、s b2,齿顶圆齿厚s a1、s a2,节圆展角ѳ；⑤重合度є；2）计算出齿形曲线，在2号图纸上绘制齿轮传动的啮合图。

⑶编写出计算说明书。

2.齿轮齿廓合原理图3.齿轮机构的数学模型㈠渐开线直齿圆柱齿轮基本公式i=z2/z1a'=[1/2*m*(z1+z2)*1/5+1]*5 α'=arccos(a*cosα/a')d1=m z1d2=m z2d b1=d1*cosαd b2=d2*cosαd a1=[z1+2(ha*+x1)]*md a2=[z2+2(ha*+x2)]*md f1=[z1-2(ha*+x1+c*)]*md f2=[z2-2(ha*+x2+c*)]*md i1=d1cosα/cosα'd i2=d2cosα/cosα'S1=1/2πm+2x1mtgαS2=1/2πm+2x2mtgα㈡齿轮副传动质量指标⑴齿轮是否根切①标准齿轮不根切的最小齿数Z min=2ha*/αsin2②不根切最小变位系数X min1=ha*(Z min-z1)Z minX min2=ha*(Z min-z2)Z min⑵重合度ε=1/2π[z1(tgα1a-tgα')+z2(tgα2a-tgα')]其中：α1a=arccos（d b1/d a1）α2a=arccos（d b2/d a2） cosα'=m(z1+z2)/2a'cosα一般情况应保证ε≥1.2。

⑶齿顶厚S a1=S1d a1/d1-d a1(invα1a-invα)S a2=S2d a2/d2-d a2(invα2a-invα)⑷基圆齿厚S b1=S1d b1/d1-d b1(invα1b- invα)S b2=S1d b2/d1-d b2(invα2b- invα)⑸展角θ1=tg(arccos d b1/d i1)-arccos d b1/d i1θ2=tg(arccos d b2/d i2)-arccos d b2/d i24.程序框图5.程序清单及运行结果⑴程序清单#include"math.h"#include"stdio.h"#define z5 10.0#define z6 35.0#define t 20*3.14/180 /*yalijiao,unit:rad*/ #define m 6 /*moshu*/#define hax 1.0#define cx 0.25#define Zmin 17.0#define pi 3.14main(){ int a,ai;double ti; /*niehejiao*/double x5,x6,xh;double db5,db6; /*jiyuanzhijing*/double d5,d6; /*fenduyuanzhijing*/ double ha5,ha6; /*chidinggao*/double hf5,hf6; /*chigengao*/double df5,df6; /*chigenyuanzhijing*/ double di5,di6; /*jieyuanzhijing*/double da5,da6; /*chidingyuanzhijing*/double S5,S6; /*chihou*/double Sb5,Sb6; /*jiyuanchihou*/double Sa5,Sa6; /*chidingyuanchihou*/double o5,o6; /*jieyuanzhanjiao*/double e; /*chonghedu*/double y; /*fenduyuanfenlixishu*/double Xmin5,Xmin6; /*zuixiaobianweixishu*/double cdm; /*chidinggaobiandongxishu*/ int j,i;a=m*(z5+z6)/2;printf("a=%d \n",a);i=a/5;ai=(i+1)*5;printf("ai=%d (mm)\n",ai);ti=acos(a*cos(t)/ai);printf("ti=%4.3f (rad)\n",ti);y=0.5*(z5+z6)*(cos(t)/cos(ti)-1);printf("y=%5.3lf \n",y);d5=m*z5;d6=m*z6;printf("d5=%5.3lf,d6=%5.3lf (mm)\n",d5,d6);db5=m*z5*cos(t);db6=m*z6*cos(t);printf("db5=%5.3lf,db6=%5.3lf (mm)\n",db5,db6);di5=d5*cos(t)/cos(ti);di6=d6*cos(t)/cos(ti);printf("di5=%5.3lf,di6=%5.3lf (mm)\n",di5,di6);Xmin5=hax*(Zmin-z5)/Zmin; printf("Xmin5=%3.4lf (mm)\n\n",Xmin5);Xmin6=hax*(Zmin-z6)/Zmin; printf("Xmin6=%3.4lf (mm)\n\n",Xmin6);xh=0.5*(tan(ti)-ti-(tan(t)-t))*(z5+z6)/tan(t);printf("xh=x5+x6=%5.3f \n",xh);for(j=0;j<10;j++){ x5=Xmin5+0.04*j;x6=xh-x5;if(x6<Xmin6)break;cdm=x5+x6-y;ha5=m*(hax+x5-cdm);ha6=m*(hax+x6-cdm);hf5=(hax+cx-x5)*m;hf6=(hax+cx-x6)*m;da5=d5+2*ha5;da6=d6+2*ha6;df5=d5-2*hf5;df6=d6-2*hf6;S5=0.5*pi*m+2*x5*m*tan(t);S6=0.5*pi*m+2*x6*m*tan(t);Sb5=S5*db5/d5-db5*(tan(acos(db5/db5))-acos(db5/db5)-(tan(t) -t));Sb6=S6*db6/d6-db6*(tan(acos(db6/db6))-acos(db6/db6)-(tan(t) -t));Sa5=S5*da5/d5-da5*(tan(acos(db5/da5))-acos(db5/da5)-(tan(t) -t));Sa6=S6*db6/d6-da6*(tan(acos(db6/da6))-acos(db6/da6)-(tan(t) -t));o5=tan(acos(db5/di5))-acos(db5/di5);o6=tan(acos(db6/di6))-acos(db6/di6);e=(z5*(tan(acos(db5/da5))-tan(ti))+z6*(tan(acos(db6/da6))-t an(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("x5=%5.3lf,x6=%5.3lf (mm)\n",x5,x6);printf("cdm=%5.3lf \n",cdm);printf("ha5=%5.3lf,ha6=%5.3lf (mm)\n",ha5,ha6);printf("hf5=%5.3lf,hf6=%5.3lf (mm)\n",hf5,hf6);printf("da5=%5.3lf,da6=%5.3lf (mm)\n",da5,da6);printf("df5=%5.3lf,df6=%5.3lf (mm)\n",df5,df6);printf("S5=%5.3lf,S6=%5.3lf (mm)\n",S5,S6);printf("Sb5=%5.3lf,Sb6=%5.3lf (mm)\n",Sb5,Sb6);printf("Sa5=%5.3lf,Sa6=%5.3lf (mm)\n",Sa5,Sa6);printf("o5=%6.5lf,o6=%6.5lf (rad)\n",o5,o6);printf("e=%5.31f \n",e);}}}⑵程序运行结果a=135ai=140 (mm)ti=0.437 (rad)y=0.833d5=60.000,d6=210.000 (mm)db5=56.385,db6=197.348 (mm)di5=62.222,di6=217.778 (mm)Xmin5=0.4118 (mm)Xmin6=-1.0588 (mm)xh=x5+x6=0.937x5=0.412,x6=0.526 (mm)cdm=0.104ha5=7.846,ha6=8.529 (mm)hf5=5.029,hf6=4.346 (mm)da5=75.693,da6=227.059 (mm) df5=49.941,df6=201.307 (mm) S5=11.217,S6=11.714 (mm)Sb5=11.381,Sb6=13.945 (mm)Sa5=2.772,Sa6=2.651 (mm)o5=0.03004,o6=0.03004 (rad) e=1.000x5=0.452,x6=0.486 (mm)cdm=0.104ha5=8.086,ha6=8.289 (mm)hf5=4.789,hf6=4.586 (mm)da5=76.173,da6=226.579 (mm) df5=50.421,df6=200.827 (mm) S5=11.392,S6=11.540 (mm)Sb5=11.545,Sb6=13.781 (mm)Sa5=2.576,Sa6=2.777 (mm)o5=0.03004,o6=0.03004 (rad)x5=0.492,x6=0.446 (mm)cdm=0.104ha5=8.326,ha6=8.049 (mm)hf5=4.549,hf6=4.826 (mm)da5=76.653,da6=226.099 (mm) df5=50.901,df6=200.347 (mm) S5=11.567,S6=11.365 (mm)Sb5=11.709,Sb6=13.617 (mm)Sa5=2.375,Sa6=2.899 (mm)o5=0.03004,o6=0.03004 (rad) e=1.000x5=0.532,x6=0.406 (mm)cdm=0.104ha5=8.566,ha6=7.809 (mm)hf5=4.309,hf6=5.066 (mm)da5=77.133,da6=225.619 (mm) df5=51.381,df6=199.867 (mm) S5=11.741,S6=11.191 (mm)Sb5=11.873,Sb6=13.453 (mm)Sa5=2.168,Sa6=3.018 (mm)o5=0.03004,o6=0.03004 (rad)x5=0.572,x6=0.366 (mm)cdm=0.104ha5=8.806,ha6=7.569 (mm)hf5=4.069,hf6=5.306 (mm)da5=77.613,da6=225.139 (mm) df5=51.861,df6=199.387 (mm) S5=11.916,S6=11.016 (mm)Sb5=12.037,Sb6=13.289 (mm)Sa5=1.955,Sa6=3.135 (mm)o5=0.03004,o6=0.03004 (rad) e=1.000x5=0.612,x6=0.326 (mm)cdm=0.104ha5=9.046,ha6=7.329 (mm)hf5=3.829,hf6=5.546 (mm)da5=78.093,da6=224.659 (mm) df5=52.341,df6=198.907 (mm) S5=12.090,S6=10.841 (mm)Sb5=12.201,Sb6=13.125 (mm)Sa5=1.736,Sa6=3.248 (mm)o5=0.03004,o6=0.03004 (rad)x5=0.652,x6=0.286 (mm)cdm=0.104ha5=9.286,ha6=7.089 (mm)hf5=3.589,hf6=5.786 (mm)da5=78.573,da6=224.179 (mm)df5=52.821,df6=198.427 (mm)S5=12.265,S6=10.667 (mm)Sb5=12.365,Sb6=12.961 (mm)Sa5=1.511,Sa6=3.358 (mm)o5=0.03004,o6=0.03004 (rad)e=1.000Press any key to continue6.设计总结通过此段时间的课程设计，我懂得实践是检验真理的唯一标准，通过这次的机械原理课程设计，我把学过的理论知识结合了实践解决机械工程上的一些问题，提高我自己的创新能力。