哈工大機械原理大作業(yè)凸輪15題

1、哈爾濱工業(yè)大學(xué)課程設(shè)計說明書（論文）機械原理大作業(yè)說明書課程名稱： 機械原理 設(shè)計題目： 凸輪機構(gòu)設(shè)計 院 系： 汽車工程學(xué)院 班 級： 1 設(shè) 計 者： 學(xué) 號： 指導(dǎo)教師： 游斌弟 設(shè)計時間： 2014年6月 哈爾濱工業(yè)大學(xué)一、設(shè)計題目 如右圖所示直動從動件盤形凸輪機構(gòu)，選擇一組凸輪機構(gòu)的原始參數(shù)，據(jù)此設(shè)計該凸輪機構(gòu)。 凸輪機構(gòu)原始參數(shù) 序號行程（mm）推程運動角推程運動規(guī)律推程許用壓力角1590150正弦加速度30°回程運動角回程運動規(guī)律回程許用壓力角遠休止角近休止角100°余弦加速度60°55°55°二. 凸輪推桿升程、回程運動方程及推

2、桿位移、速度、加速度線圖凸輪推桿推程運動方程:s=9065-sin1252 v=10811-cos125 a=259.212sin125凸輪推桿回程運動方程:s=451+cos95-4120 v=-811sin95-4120 a=-145.812cos95-4120% t表示轉(zhuǎn)角，s表示位移t=0:0.01:5*pi/6;%升程階段s=90*(6*t)/(5*pi)-1/(2*pi)*sin(12*t/5);hold onplot(t,s); t= 5*pi/6:0.01:41*pi/36;%遠休止階段s=90;hold onplot(t,s);t=41*pi/36:0.01:61*pi/36

3、;%回程階段s=45*1+cos(9*t/5)-(41*pi/20);hold onplot(t,s);t=61*pi/36:0.01:2*pi;%近休止階段s=0;hold onplot(t,s);grid onhold off% t表示轉(zhuǎn)角，令1=1t=0:0.01:5*pi/6;%升程階段v=108*1*1-cos(12*t/5)/pihold onplot(t,v); t= 5*pi/6:0.01:41*pi/36;%遠休止階段v=0hold onplot(t,v);t=41*pi/36:0.01:61*pi/36;%回程階段v=-81*1*sin(9*t/5)-(41*pi/20)h

4、old onplot(t,v);t=61*pi/36:0.01:2*pi;%近休止階段v=0hold ont=0:0.001:5*pi/6;a=259.2*sin(12*t/5)/pi;hold onplot(t,a);t=5*pi/6:0.01:41*pi/36;a=0;hold onplot(t,a);t=41*pi/36:0.001:61*pi/36;a=-145.8*cos(9*t/5)-(41*pi/20);hold onplot(t,a);t=61*pi/36:0.001:2*pi;a=0;hold on三. 繪制凸輪機構(gòu)的線圖% t表示轉(zhuǎn)角，x(橫坐標)表示速度ds/d，y（縱坐

5、標）表示位移st=0:0.001:5*pi/6;% 升程階段x= 108*1*(1-cos(12*t/5)/pi;y= 90*(6*t)/(5*pi)-1/(2*pi)*sin(12*t/5);hold onplot(x,y,'-r');t= 5*pi/6:0.01:41*pi/36;%遠休止階段x=0;y=90;hold onplot(x,y,'-r');t=41*pi/36:0.001:61*pi/36;% 回程階段x=-81*1*sin(9*t/5)-(41*pi/20);y=45*(1+cos(9*t/5)-(41*pi/20);hold on plot

6、(x,y,'-r');t=61*pi/36:0.01:2*pi;%近休止階段x=0;y=0;hold onplot(x,y,'-r');grid onhold off四.繪制凸輪理論輪廓線%理論輪廓o1=0:pi/100:5*pi/6;s1=100*(6*o1)/(5*pi)-sin(12*o1/5)/(2*pi);x1=(31+s1).*cos(o1)-18*sin(o1);y1=(31+s1).*sin(o1)+18*cos(o1);o2=5*pi/6:0.01:19*pi/18;x2=131*cos(o2)-18*sin(o2);y2=131*sin(o2

7、)+18*cos(o2);o3=19*pi/18:0.01:4*pi/3;s3=100-200*(o3-(19*pi)/18).2/(5*pi/9)2;x3=(31+s3).*cos(o3)-18*sin(o3);y3=(31+s3).*sin(o3)+18*cos(o3);o4=4*pi/3:0.01:29*pi/18;s4=200*(29*pi)/18-o4).2/(5*pi/9)2;x4=(31+s4).*cos(o4)-18*sin(o4);y4=(31+s4).*sin(o4)+18*cos(o4);o5=29*pi/18:0.01:2*pi;x5=31*cos(o5)-18*sin

8、(o5);y5=31*sin(o5)+18*cos(o5);plot(x1,y1,'b',x2,y2,'b',x3,y3,'b',x4,y4,'b',x5,y5,'b')title('理論輪廓')grid六、求最小曲率半徑%求最小曲率半徑v=;syms x1 x2 x3 x4 x5 s0 = 31; e = 18; s1=100*(6*x1)/(5*pi)-sin(12*x1/5)/(2*pi); t1 = (s1 + s0)*cos(x1)-e*sin(x1); y1 = (s0 + s1)*si

9、n(x1) +e*cos(x1); tx1=diff(t1,x1); txx1=diff(t1,x1,2); yx1=diff(y1,x1); yxx1=diff(y1,x1,2);for xx1= 0:(pi/100):(2*pi/3); k1=subs(abs(tx1*yxx1-txx1*yx1)/(tx12+yx12)1.5),x1,xx1); v=v,1/k1;end s2 = 100; t2 = (s2 + s0)*cos(x2)-e*sin(x2); y2 = (s0 + s2)*sin(x2) +e*cos(x2); tx2=diff(t2,x2); txx2=diff(t2,x

10、2,2); yx2=diff(y2,x2); yxx2=diff(y2,x2,2);for xx2=(2*pi/3):(pi/100):(35*pi/36); k2=subs(abs(tx2*yxx2-txx2*yx2)/(tx22+yx22)1.5),x2,xx2); v=v,1/k2;end s3=100-200*(x3-(19*pi)/18).2/(5*pi/9)2; t3 = (s3 + s0)*cos(x3)-e*sin(x3); y3 = (s0 + s3)*sin(x3) + e*cos(x3); tx3=diff(t3,x3); txx3=diff(t3,x3,2); yx3=

11、diff(y3,x3); yxx3=diff(y3,x3,2);for xx3=(35*pi/36 ):(pi/100):(53*pi/36); k3=subs(abs(tx3*yxx3-txx3*yx3)/(tx32+yx32)1.5),x3,xx3); v=v,1/k3;end s4=200*(29*pi)/18-x4).2/(5*pi/9)2; t4 = (s4 + s0)*cos(x4)-e*sin(x4); y4 = (s0 + s4)*sin(x4)+e*cos(x4); tx4=diff(t4,x4); txx4=diff(t4,x4,2); yx4=diff(y4,x4); y

12、xx4=diff(y4,x4,2);for xx4=(53*pi/36):(pi/100):( 2*pi); k4=subs(abs(tx4*yxx4-txx4*yx4)/(tx42+yx42)1.5),x4,xx4); v=v,1/k4;end s5=0; t5 = (s5 + s0)*cos(x4)-e*sin(x4); y5 = (s0 + s5)*sin(x4)+e*cos(x4); tx5=diff(t5,x5); txx5=diff(t5,x5,2); yx5=diff(y5,x5); yxx5=diff(y5,x5,2);for xx5=(53*pi/36):(pi/100):(

13、 2*pi); k5=subs(abs(tx5*yxx5-txx5*yx5)/(tx52+yx52)1.5),x5,xx5); v=v,1/k5;endmin(v)ans = (sin(161*pi)/450)*(441352763482308608*pi2)/6945116672350037925 + 31) - 18*cos(161*pi)/450) + (126100789566373888*pi*cos(161*pi)/450)/30867185210444613)2 + (18*sin(161*pi)/450) - (126100789566373888*pi*sin(161*pi)

14、/450)/30867185210444613 + cos(161*pi)/450)*(441352763482308608*pi2)/6945116672350037925 + 31)2)(3/2)/(sin(161*pi)/450)*(441352763482308608*pi2)/6945116672350037925 + 31) - 18*cos(161*pi)/450) + (126100789566373888*pi*cos(161*pi)/450)/30867185210444613)*(18*cos(161*pi)/450) + (450359962737049600*sin(

15、161*pi)/450)/3429687245604957 - sin(161*pi)/450)*(441352763482308608*pi2)/6945116672350037925 + 31) - (252201579132747776*pi*cos(161*pi)/450)/30867185210444613) + (18*sin(161*pi)/450) - (126100789566373888*pi*sin(161*pi)/450)/30867185210444613 + cos(161*pi)/450)*(441352763482308608*pi2)/694511667235

16、0037925 + 31)*(450359962737049600*cos(161*pi)/450)/3429687245604957 - 18*sin(161*pi)/450) + (252201579132747776*pi*sin(161*pi)/450)/30867185210444613 - cos(161*pi)/450)*(441352763482308608*pi2)/6945116672350037925 + 31)七，求工作輪廓圖線%工作輪廓圖線 r0=36.31;e = 18;s0=sqrt(r02+e2);r = 7;o1=0:0.01:5*pi/6;s1=100*(6

17、*o1)/(5*pi)-sin(12*o1/5)/(2*pi);t1=120*(1-cos(12*o1/5)/pi;x1 = (s1 + s0).*cos(o1) - e*sin(o1);y1 = (s0 + s1).*sin(o1) + e*cos(o1);n1 = t1.*cos(o1)-(s1+s0).*sin(o1)-e*cos(o1);m1 = t1.*cos(o1)+(s1+s0).*cos(o1)-e*sin(o1);xt1 = x1+(r*m1)./(sqrt(n1.2+m1.2);yt1 = y1 - (r*n1)./sqrt(m1.2 +n1.2);xw1 = x1 - (

18、r*m1)./sqrt(m1.2 +n1.2);yw1 = y1 + (r*n1)./sqrt(m1.2 +n1.2);o2=5*pi/6:0.01:19*pi/18;s2=100;t2=0;x2 = (s2 + s0).*cos(o2)-e*sin(o2);y2 = (s0 + s2).*sin(o2)+e*cos(o2);n2 =t2.*cos(o2)-(s2+s0).*sin(o2)-e*cos(o2);m2 = t2.*cos(o2)+(s2+s0).*cos(o2)-e*sin(o2);xt2 = x2 + (r*m2)./sqrt(m2.2+n2.2);yt2 = y2 - (r*

19、n2)./sqrt(m2.2+n2.2);xw2 = x2 - (r*m2)./sqrt(m2.2+n2.2);yw2 = y2 + (r*n2)./sqrt(m2.2+n2.2);o3=19*pi/18:0.01:4*pi/3;s3=100-200*(o3-(19*pi)/18).2/(5*pi/9)2;t3=-16*81*(o3-19*pi/18)/(pi)2;x3 = (s3 + s0).*cos(o3)-e*sin(o3);y3 = (s0 + s3).*sin(o3)+e*cos(o3);n3 = t3.*cos(o3)-(s3+s0).*sin(o3)-e*cos(o3);m3 =

20、 t3.*cos(o3)+(s3+s0).*cos(o3)-e*sin(o3);xt3= x3 + (r*m3)./sqrt(m3.2+n3.2);yt3 = y3 - (r*n3)./sqrt(m3.2+n3.2);xw3 = x3 -(r* m3)./sqrt(n3.2+m3.2);yw3 = y3 + (r*n3)./sqrt(n3.2+m3.2);o4=4*pi/3:0.01:29*pi/18;s4=200*(29*pi)/18-o4).2/(5*pi/9)2;t4=-16*81*(29*pi/18-o4)/(pi)2;x4 = (s4 + s0).*cos(o4)-e*sin(o4);y4 = (s4 + s0).*sin(o4)+e*cos(o4);n4 =t4.*cos(o4)-(s4+s0).*sin(o4)-e*cos(o4);m4 = t4.*cos(o4)+(s4+s0).*cos(o4)-e*sin(o4);xt4= x4 + (r*m4)./sqrt(m4.2+n4.2);yt4 = y4 - (r*n4)./sqrt(m4.2+n4.2);xw4 = x4 - (r*m4)./sqrt(n4.2+m4.2);yw4 = y4 + (r*n4)./sqrt(n4.2+m4.2)