直動(dòng)從動(dòng)件盤形凸輪機(jī)構(gòu)設(shè)計(jì)一、設(shè)計(jì)題目行程（mm）升程運(yùn)動(dòng)角（。）升程運(yùn)動(dòng)規(guī)律升程許用壓力角回程運(yùn)動(dòng)角回程運(yùn)動(dòng)規(guī)律回程許用壓力角遠(yuǎn)休止角近休止角2560多項(xiàng)式3-4-53580余弦加速度70100120二、凸輪推桿升程、回程運(yùn)動(dòng)方程（設(shè)—1rad/s）1、凸輪推桿升程運(yùn)動(dòng)方程（0〈甲〈:）--兀升程采用多項(xiàng)式3-4-5,將已知條件代入3-4-5多項(xiàng)式，即將h=25mm，中廣-代入，得：s=25[10x[-^y-15x[￡]4+6x[9]5]；L頃/3J3/3J頃/3J\v二蘭[30x[里]2-60x[M]3+30x[Mf；兀/3|_頃/3J頃/3J頃/3"'a=-2^60xL^L180x[9]2+120x[-^]3。（兀/3）2[頃/3J頃/3J頃/3J_兀8兀2、凸輪推桿推程遠(yuǎn)休止角運(yùn)動(dòng)方程（§<P<—）s=h=25；v=0；a=0。8兀4兀3、凸輪推桿回程運(yùn)動(dòng)方程（虧<甲<—）4?；爻滩捎糜嘞壹铀俣龋瑢=25mm,氣=—代入，得：25[丸/8兀、］s=1+cos（甲———）2|_4兀/9925兀v=2（4兀/9）sin二（甲-竺）；

4兀/9”甲9''25兀2a=cos2（4兀/9）2冗,8叭4^79（甲-虧）。4、凸輪推桿回程近休止角運(yùn)動(dòng)方程(二2)3s0-v0-a0。三、凸輪推桿位移、速度、加速度曲線圖1、位移曲線圖Matlab程序：x=0:0.001:(pi/3);s1=25*(10*(3*x/pi)."3T5*(3*x/pi)."4+6*(3*x/pi)."5);y1=(pi/3):0.001:(pi*8/9);s2=25*ones(size(y1));z=(pi*8/9):0.001:(4*pi/3);s3=12.5*(1+cos(pi*(z-pi*8/9)/(4*pi/9)));m=(4*pi/3):0.001:(2*pi);s4=0*ones(size(m));plot(x,s1,'black',y1,s2,'black',z,s3,'black',m,s4,'black');title('推桿線位移圖’)；xlabel('(p(rad)');ylabel('S(mm)');gridon;2、速度曲線圖Matlab程序：x=0:0.001:(pi/3);v1=25*30*((3*x/pi)."2-2*(3*x/pi)."3+(3*x/pi)."4)/(pi/3);y1=(pi/3):0.001:(8*pi/9);

v2=zeros(length(y1),1);z=(8*pi/9):0.001:(4*pi/3);v3=-pi*25*sin(pi*(z-8*pi/9)/(4*pi/9))/(2*4*pi/9);m=(4*pi/3):0.001:(2*pi);v4=zeros(length(m),1);plot(x,v1,y1,v2,z,v3,m,v4);title('推桿速度曲線圖’)；xlabel('(p(rad)');ylabel('V(mm/s)');gridon;Figure1寶住舊端朝日查看:Vi搔人5哀面心1?D（Wi明咽）口舀日斜后您、巧圓耍占-垣|曰國|■口卅一桿?通過曲線圖504D3010oWE>3、加速度曲線圖Matlab程序：卅一桿?通過曲線圖504D3010oWE>x=0:0.001:(pi/3);s1=25*60*((3*x/pi)-3*(3*x/pi)."2+2*(3*x/pi)."3)/(pi/3)."2;y1=(pi/3):0.001:(pi*8/9);s2=0*ones(size(y1));z=(pi*8/9):0.001:(4*pi/3);s3=-pi*pi*25*cos(pi*(z-8*pi/9)/(4*pi/9))/(2*(4*pi/9)."2);m=(4*pi/3):0.001:(2*pi);s4=0*ones(size(m));plot(x,s1,'black',y1,s2,'black',z,s3,'black',m,s4,'black');title('推桿加速度曲線圖');xlabel('p(rad)');ylabel('a(mm/s"2)');gridon;四、繪制坐-S圖ds

d^25

k?330x-60x+30x兀(0＜p＜§)0，（；＜甲＜章）＜甲＜25兀.「?！?兀、＜甲＜v=sin（平一——）2（4兀/9）4兀/99＜0,＜甲＜2兀)Matlab程序:x1=0:0.0001:pi/3x2=pi/3:0.0001:8火pi/9x3=8火pi/9:0.0001:4火pi/3x4=4火pi/3:0.0001:2火pis1=25*(10*(3*x1/pi).八315*(3*x1/pi).八4+6*(3*x1/pi).八5)s2=25s3=12.5*(1+cos(pi*(x3pi*8/9)/(4火pi/9)))s4=0v1=25*30*((3*x1/pi).八22*(3*x1/pi).八3+(3*x1/pi).八4)/(pi/3)v2=0v3=pi*25*sin(pi*(x38*pi/9)/(4火pi/9))/(2*4火pi/9)v4=0z1=30:0.001:50y1=tan(pi/235火pi/180)*z152.5354%切線1

z2=0:0.001:50;y2=-tan(pi/2-35火pi/180)*z2;z3=-30:0.001:50;y3=-tan(pi/2-70火pi/180)*z3-3.8548;%切線2Plot(v1,s1,v2,s2,v3,s3,v4,s4,z1,y1,z2,y2,z3,y3);xlabel('ds/dm');ylabel('位移s/mm');title('ds/dm—s曲線')；％。取(15,-40)e=15mm；r0=sqrt(15八2+40八2=42.72)ylim([-40,30]);grid;I3Figure1-n^9立付舊犒搓舊查看也鹽(D工MCD真而咽荷口四幫困(H)5□巴日0|fe|堡就客毋晏就-|京|口目|■回dsJdqj—s|：l礦￡30三條限制線圍成的下方陰影角區(qū)域?yàn)闈M足以〈^］的凸輪軸心的公共許用區(qū)域。故可取0(15,-40)，即e-15mm，基圓半徑r=V152+402=42.72mm.dsJdqj—s|：l礦￡30五、繪制凸輪曲率、壓力角圖Matlab程序：t=0:0.001:pi/3;x=-(40+25*(10*(3火t/pi).八3-15*(3火t/pi).八4+6*(3火t/pi).八5)).*cos(t)+15火sin(t);y=(40+25*(10*(3火t/pi).八3-15*(3火t/pi).八4+6*(3火t/pi).八5)).*sin(t)+15火cos(t);dx1=diff(x);dy1=diff(y);dx11=diff(x,2);dy11=diff(y,2);p=abs(((dx1.八2+dy1.八2).八(3/2))/(dx1.*dy11-dy1.*dx11));holdonplot(t,p);t=pi/3:0.001:pi*8/9;x=-(40+25).*cos(t)+15火sin(t);y=(40+25).*sin(t)+15火cos(t);dx1=diff(x);dy1=diff(y);dx11=diff(x,2);dy11=diff(y,2);p=abs(sqrt((dx1.八2+dy1.八2).八3)/(dx1.*dy11-dy1.*dx11));holdonplot(t,p);t=pi*8/9:0.001:4火pi/3;x=-(40+12.5*(1+cos(pi*(x3-pi*8/9)/(4火pi/9)))).*cos(t)+15火sin(t);y=+(40+12.5*(1+cos(pi*(x3-pi*8/9)/(4火pi/9)))).*sin(t)+15火cos(t);dx1=diff(x);dy1=diff(y);dx11=diff(x,2);dy11=diff(y,2);p=abs(sqrt((dx1.八2+dy1.八2).八3)/(dx1.*dy11-dy1.*dx11));holdonplot(t,p);t=14火pi/9:0.001:2火pi;x=-(40).*cos(t)+15火sin(t);y=+(40).*sin(t)+15火cos(t);dx1=diff(x);dy1=diff(y);dx11=diff(x,2);dy11=diff(y,2);p=abs(sqrt((dx1.八2+dy1.八2).八3)/(dx1.*dy11-dy1.*dx11));holdonplot(t,p);holdoffgridon;可知曲率最小為7mm,故可取滾子半徑r3.5mm。六、繪制凸輪理論輪廓線以及基圓、偏距圓Matlab程序：t=0:0.001:pi/3;x=-(40+25*(10*(3火t/pi).八3-15*(3火t/pi).八4+6*(3火t/pi).八5)).*cos(t)+15火sin(t);y=(40+25*(10*(3火t/pi).八3-15*(3火t/pi).八4+6*(3火t/pi).八5)).*sin(t)+15火cos(t);holdonplot(x,y,'b');t=pi/3:0.001:pi*8/9;x=-(40+25).*cos(t)+15火sin(t);y=(40+25).*sin(t)+15火cos(t);holdonplot(x,y,'b');t=pi*8/9:0.001:4火pi/3;x=-(40+12.5*(1+cos(pi*(t-pi*8/9)/(4火pi/9)))).*cos(t)+15火sin(t);y=+(40+12.5*(1+cos(pi*(t-pi*8/9)/(4火pi/9)))).*sin(t)+15火cos(t);holdonplot(x,y,'b');t=4火pi/3:0.001:2火pi;x=-(40).*cos(t)+15火sin(t);y=+(40).*sin(t)+15火cos(t);holdonplot(x,y);%繪制基園t=0:0.001:2火pi;x=42.72火cos(t);y=42.72火sin(t);holdonplot(x,y,'b');%繪制偏距圓t=0:0.001:2火pi;x=15火cos(t);y=15*sin(t);holdonplot(x,y,'b，)，title(，凸輪理論廓線、基圓以及偏距圓'),xlabel('x(mm)'),ylabel('y(mm)');gridon;holdoff七、凸輪工作廓線凸輪工作廓線方程為:dy/d甲x(dx/d甲)2+(dy/d甲)2dx/dpY=y+r.L(dx/dp)2+(dy/dp)2Matlab程序：h=25;e=15;%偏距s0=40;rr=3.5;%滾子半徑%升程階段t=linspace(0,pi/3,10000);s=25*(10*(3火t/pi).八3-15*(3火t/pi).八4+6*(3火t/pi).八5);a1=(s0+s).*cos(t)-e*sin(t);b1=-(s0+s).*sin(t)-e*cos(t);dx1=25*30*((3*t/pi).八2-2*(3火t/pi).八3+(3火t/pi).八4)/(pi/3).*cos(t)-(s0+s).*sin(t)-e*cos(t);dy1=25*30*((3*t/pi).八2-2*(3火t/pi).八3+(3火t/pi).八4)/(pi/3).*sin(t)-(s0+s).*cos(t)+e*sin(t);x1=a1+rr*dy1./(sqrt(dx1.八2+dy1.八2));y1=b1-rr*dx1./(sqrt(dx1.八2+dy1.八2));holdonplot(a1,b1);plot(x1,y1,'r');%遠(yuǎn)休止階段t=linspace(pi/3,8*pi/9,10000);s=h;a2=(s+s0).*cos(t)-e*sin(t);b2=-(s+s0).*sin(t)-e*cos(t);dx2=-sin(t).*(s+s0)-e*cos(t);dy2=-cos(t).*(s+s0)+e*sin(t);x2=a2+rr*dy2./(sqrt(dx2.八2+dy2.八2));y2=b2-rr*dx2./(sqrt(dx2.八2+dy2.八2));holdonplot(a2,b2);plot(x2,y2,'r');%回程階段t=linspace(pi*8/9,pi*4/3,10000);s=12.5*(1+cos(pi*(t-pi*8/9)/(4火pi/9)));a3=(s+s0).*cos(t)-e*sin(t);b3=-(s+s0).*sin(t)-e*cos(t);dx3=-pi*25*sin(pi*(t-8火pi/9)/(4火pi/9))/(2*4火pi/9).*cos(t)-sin(t).*(s+s0)-e*cos(t);dy3=-pi*25*sin(pi*(t-8火pi/9)/(4火pi/9))/(2*4火pi/9).*sin(t)-cos(t).*(s+s0)+e*sin(t);x3=a3+rr*dy3./(sqrt(dx3.八2+dy3.八2));y3=b3-rr*dx3./(sqrt(dx3.八2+dy3.八2));holdonplot(a3,b3);plot(x3,y3,'r');%近休止階段t=linspace(pi*4/3,p