凸轮设计25题参数

1、机械原理大作业第二题（2013年春季学期）题目凸轮机构设计题号：25号姓名武静学号1110810225班级1108111班专业机械设计制造及其自动化报告日期哈尔滨工业大学升程（mm）升程运 动角（度）升程运 动规律升程许 用压力 角（度）回程运 动 角（度）回程运动规律回程许 用压力 角（度）远休止 角（度）近休止 角（度）13090正弦加 速度30803,4,5 多项式70130601凸轮推程方程为:1s =1302 /sin(4 );2兀130 11 cos(4 );22 二130 1 asin(4 );0 22、回程方程为:s=1301 -(10订23 -15T24 6 T25); _3

2、1T22.(2.T2 T22);969 130 122aT2(1-3T2 2 *T22);4兀(&)T(218);1;： 94二、211：5 二33、以上是推程和回程的运动方程，在远休止角以及近休止角处，位移不变，速度、加速度 都为“ 0”根据以上方程组在 matlab中编程输出结果，绘制曲线如下：ds/dfi s 线图4、用matlab编写程序算出凸轮推杆的位移、速度、加速度曲线，并绘制出 程序如下：syms fi ;%定义推杆运动分段函数(Ovfivpi/2)s1=130*(2*fi/pi-(si n(4*fi)/2/pi);v1=(260/pi)*(1-cos(4*fi);a1=(8*1

3、30/pi)*si n(4*fi);d1=diff(s1,fi);k仁 0:pi/90:pi/2;s1= subs(s1,fi,k1);v1= subs(v1,fi,k1);a1=subs(a1,fi,k1);d1=subs(d1,fi,k1);% pi/2= fi 11*pi/9k2=pi/2:pi/90:11*pi/9;s2=130;v2=0;a2=0;%11*pi/9 =fi 5*pi/3t2=9*(fi-(pi/2)-(13*pi/18)/4/pi;s3=130*(1-(10*t2A3)+(15*t2A4)-(6*t2A5);v3=-(30*130*9/4/pi)*t2A2*(1-2*

4、t2+t2A2);a3=-(60*130*81/16/pi/pi)*t2*(1-3*t2+2*t2A2);d3=diff(s3,fi);k3=11*pi/9:pi/90:5*pi/3;s3=subs(s3,fi,k3);v3=subs(v3,fi,k3);a3=subs(a3,fi,k3);d3=subs(d3,fi,k3);% 5*pi/3 =fi2*pik4=5*pi/3:pi/90:2*pi;s4=0;v4=0;a4=0;%画函数曲线(推杆位移)plot(k1,s1);hold onplot(k2,s2);holdonplot(k3,s3);holdonplot(k4,s4);title

5、(推杆位移曲线);xlabel( x 角度 fi(rad) ),ylabel( hold offpause%推杆速度plot(k1,v1);hold onplot(k2,v2);holdonplot(k3,v3);holdonplot(k4,v4);title(推杆速度曲线);xlabel( x 角度 fi(rad) ),ylabel(hold offy 位移 s(mm);y 速度 v(mm/s);pause%推杆加速度plot(k1,a1);holdonplot(k2,a2);holdonplot(k3,a3);holdonplot(k4,a4);title(推杆加速度曲线)；xlabel(

6、x 角度 fi(rad),ylabel(holdoffy 加速度 a(mm/sA2);pause%ds/dfi-s 线图plot(d1,s1);hold onplot(0,130);holdonplot(d3,s3);holdonplot(0,0);title(ds/dfi-s 线图);xlabel( x ds/dfi ),ylabel( y s(fi) ); hold off推杆位移曲线Figure 1File Edit View Insert Tools Desktop Window Help402040X角 jfii rad)先由推程到远休止，到回程，再到近休止;推杆速度曲线:推杆速度在

7、推程阶段先增大后减小，在回程阶段速度也是先增大后减小, 在远休止、近休止处速度都为“ 0 ”；推杆加速度曲线:Figure 1二1二云鸟岂虽巴廻乙S| QILI qnFile Edit View Insert Tools Desktop Vindow Hp p推杆加速度曲线推杆加速度在推程阶段先增大后减小，再反向增大后减小，在回程阶段速度也是先增大后减小，再反向增大后减小；在远休止、近休止处加速度都为 0”ds/dfi s 线图:按许用压力角30度、70度，确定凸轮机构的基本尺寸:150dsdfi-sE100500d50-200-250G 50f -100*30%0*150-100-500 S

8、O 100160200x ds/dfi根据此图可以确定一个合适的基圆半径，和一个合适的偏心距；取ro=200mm， e=50mm凸轮理论轮廓线 matlab编程及生成图线如下:syms fi ;%定义推杆运动分段函数(Ovfivpi/2)s1=130*(2*fi/pi-(si n(4*fi)/2/pi);k仁 0:pi/90:pi/2;% pi/2= fi 11*pi/9k2=pi/2:pi/90:11*pi/9;s2=130;%11*pi/9 =fi 5*pi/3t2=9*(fi-(pi/2)-(13*pi/18)/4/pi;s3=130*(1-(10*t2A3)+(15*t2A4)-(6*

9、t2A5); k3=11*pi/9:pi/90:5*pi/3;% 5*pi/3 =fi2*pik4=5*pi/3:pi/90:2*pi;s4=0;v4=0;a4=0;%理论轮廓线ro=200;e=50;so=sqrt(roA2-eA2);x1=(so+s1)*cos(fi)-(e*si n(fi);y1=(so+s1)*si n(fi)+(e*cos(fi);x1= subs(x1,fi,k1);y1= subs(y1,fi,k1);x2=(so+s2)*cos(fi)-(e*si n(fi);y2=(so+s2)*si n(fi)+(e*cos(fi);x2=subs(x2,fi,k2);y

10、2=subs(y2,fi,k2);x3=(so+s3)*cos(fi)-(e*si n(fi);y3=(so+s3)*si n(fi)+(e*cos(fi);x3=subs(x3,fi,k3);y3=subs(y3,fi,k3);x4=(so+s4)*cos(fi)-(e*si n(fi);y4=(so+s4)*si n(fi)+(e*cos(fi);x4=subs(x4,fi,k4);y4=subs(y4,fi,k4);%绘制凸轮理论轮廓线plot(0,0);hold onplot(x1,y1);holdonplot(x2,y2);holdonplot(x3,y3);holdonplot(x

11、4,y4);holdofftitle(凸轮理论轮廓线);y (mm);xlabel( x (mm) ),ylabel(凸轮理论轮廓线图该图谱显示的为凸轮的理论轮廓线，即利用反转法时，滚子中心划过的轨迹凸轮实际轮廓线生成 matlab编程如下 确定滚子半径为 r1=30mmsyms fi ;%定义推杆运动分段函数(Ovfivpi/2)s1=130*(2*fi/pi-(si n(4*fi)/2/pi);k仁 0:pi/90:pi/2;% pi/2= fi 11*pi/9k2=pi/2:pi/90:11*pi/9;s2=130;%11*pi/9 =fi 5*pi/3t2=9*(fi-(pi/2)-(

12、13*pi/18)/4/pi;s3=130*(1-(10*t2A3)+(15*t2A4)-(6*t2A5); k3=11*pi/9:pi/90:5*pi/3;% 5*pi/3 =fi2*pik4=5*pi/3:pi/90:2*pi;s4=0;v4=0;a4=0;%实际轮廓线ro=200;e=50;so=sqrt(roA2-eA2);x1=(so+s1)*cos(fi)-(e*si n(fi);y1=(so+s1)*si n(fi)+(e*cos(fi);dx1=diff(x1,fi);dy1=diff(y1,fi);X1= x1-(10*dy1/sqrt(dx1A2+dy1A2);Y1= y1

13、+(10*dx1/sqrt(dx1A2+dy1A2);X1= subs(X1,fi,k1);Y1= subs(Y1,fi,k1);x2=(so+s2)*cos(fi)-(e*si n(fi);y2=(so+s2)*si n(fi)+(e*cos(fi);dx2=diff(x2,fi);dy2=diff(y2,fi);X2=x2-(10*dy2/sqrt(dx2A2+dy2A2);Y2=y2+(10*dx2/sqrt(dx2A2+dy2A2);X2=subs(X2,fi,k2);Y2=subs(Y2,fi,k2);x3=(so+s3)*cos(fi)-(e*si n(fi);y3=(so+s3)

14、*si n(fi)+(e*cos(fi); dx3=diff(x3,fi);dy3=diff(y3,fi);X3=x3-(10*dy3/sqrt(dx3A2+dy1A2);Y3=y3+(10*dx3/sqrt(dx3A2+dy1A2);X3=subs(X3,fi,k3);Y3=subs(Y3,fi,k3);x4=(so+s4)*cos(fi)-(e*si n(fi);y4=(so+s4)*si n(fi)+(e*cos(fi);dx4=diff(x4,fi);dy4=diff(y4,fi);X4=x4-(10*dy4/sqrt(dx4A2+dy4A2);Y4=y4+(10*dx4/sqrt(d

15、x4A2+dy4A2);X4=subs(X4,fi,k4);Y4=subs(Y4,fi,k4);plot(0,0);hold on plot(X1,Y1);holdonplot(X2,Y2);holdonplot(X3,Y3);holdonplot(X4,Y4);holdofftitle(凸轮实际轮廓线);y (mm);xlabel( x (mm) ),ylabel(disp(X1);disp(X2);disp(X3); disp(X4);disp(Y1);disp(Y2);disp(Y3);disp(Y4);实际轮廓线的x, y坐标输出值:(1)推程，x：183.9667182.195318

16、0.2313178.1263175.9311173.6938171.4587169.2647167.1435165.1181163.2012161.3945159.6879158.0603156.4806154.9092153.2997151.6007149.7577147.7146145.4152142.8052139.8335136.4535132.6243128.3121123.4905118.1415112.2554105.830798.874191.399983.429174.989166.112556.836547.201837.252027.032216.58815.9645-4

17、.7954-15.6519-26.5694-37.5178-48.4732y：47.500053.929360.371466.827873.306479.820586.387493.026599.7579106.6008113.5733120.6914127.9694135.4197143.0522150.8736158.8862167.0862175.4634183.9996192.6683201.4352210.2579219.0875227.8686236.5418245.0445253.3124261.2819268.8907276.0801282.7958288.9890294.61

18、78299.6473304.0503307.8083310.9110313.3571315.1543316.3188316.8753316.8564316.3012315.2548313.7664(2 )元休止，x：-48.4732-59.3940-70.2424-81.0052-91.6693 -102.2218 -112.6497 -122.9403 -133.0812-143.0599 -152.8644 -162.4826 -171.9028 -181.1136 -190.1037 -198.8623 -207.3785 -215.6421 -223.6429 -231.3713 -2

19、38.8178 -245.9733 -252.8292 -259.3770 -265.6088 -271.5170 -277.0944 -282.3342 -287.2300 -291.7759 -295.9663 -299.7961 -303.2606 -306.3557 -309.0775 -311.4228 -313.3886 -314.9727 -316.1729 -316.9880 -317.4169 -317.4590 -317.1144 -316.3834 -315.2670 -313.7664 -311.8836 -309.6208 -306.9807 -303.9667 -3

20、00.5823 -296.8317 -292.7195 -288.2506 -283.4305 -278.2652 -272.7608 -266.9240 -260.7621 -254.2825 -247.4931 -240.4021 -233.0183 -225.3505 -217.4082 -209.2010y:313.7664311.8836309.6208306.9807303.9667300.5823296.8317292.7195288.2506283.4305278.2652272.7608266.9240260.7621254.2825247.4931240.4021233.0

21、183225.3505217.4082209.2010200.7390192.0323183.0917173.9281164.5525154.9765145.2116135.2698125.1632114.9042104.505193.978783.337872.595461.764550.858439.890328.873617.82176.7482-4.3336-15.4102-26.4679-37.4934-48.4732-59.3940-70.2424-81.0052-91.6693-102.2218 -112.6497 -122.9403 -133.0812 -143.0599 -1

22、52.8644 -162.4826 -171.9028-181.1136 -190.1037-198.8623 -207.3785 -215.6421 -223.6429 -231.3713 -238.8178(3)回程，x：-211.6366 -203.0993 -194.2730 -185.1069 -175.5718 -165.6586 -155.3762 -144.7495 -133.8169-122.6285-111.2433-99.7272-88.1505-76.5858-65.1058-53.7807-42.6765-31.8524-21.3589-11.2349-1.50637

23、.816216.737325.276433.464041.336348.929056.272263.388070.292076.995883.510289.847196.0194102.0401107.9200113.6651119.2743124.7368130.0290135.1124y：-241.5982 -248.8205 -255.6198 -261.9191 -267.6440 -272.7245 -277.0976 -280.7083 -283.5115-285.4727-286.5693 -286.7907 -286.1387 -284.6279-282.2849-279.1485-275.2686-270.7065