机械原理大作业-凸轮机构设计.doc

凸轮机构设计1.设计题目如图2-1所示直动从动件盘形凸轮机构，其原始参数见表2-1。从表2-1中选择一组凸轮机构的原始参数，据此设计该凸轮机构。图2-1表2-1 凸轮机构原始参数升程（mm）升程运动角（）升程运动规律升程许用压力角（）回程运动角（）回程运动规律回程许用压力角（）远休止角（）近休止角（）14090等加速等减速4080正弦70501402.凸轮机构的设计要求（1）确定凸轮推杆升程、回程运动方程，并绘制推杆位移、速度、加速度线图； 【1】确定推杆的升程回程运动方程对于不同运动规律的凸轮结构，其上升与下降的方式不一，但遵循同样的运动顺序：上升、远休止点恒定、下降、近休止点恒定。因此设计它仅需确定这四个阶段的角度与位置即可。 推程阶段 ： 回程阶段： 【2】绘制推杆位移、速度、加速度线图 位移图像程序： i1=(0:0.01:(1/4)*pi);s1=280.*(2/pi).*i1).2);i2=(1/4)*pi:0.01:(1/2)*pi);s2=140-1120.*(pi/2)-i2).2)/(pi).2);i3=(1/2)*pi:0.01:(7/9)*pi);s3=140;i4=(7/9)*pi:0.01:(11/9)*pi);s4=140.*(1-(9.*i4-7*pi)/(4*pi)+sin(9.*i4)-(7*pi)./2)/(2*pi);i5=(11/9)*pi:0.01:2*pi);s5=0;plot(i1,s1,b,i2,s2,b,i3,s3,b,i4,s4,b,i5,s5,b)位移图像 速度图像程序令则可以得到速度图像的程序i1=(0:0.01:(1/4)*pi);v1=(2240.*i1)/(pi).2);i2=(1/4)*pi:0.01:(1/2)*pi);v2=(2240.*(pi/2)-i2)/(pi).2);i3=(1/2)*pi:0.01:(7/9)*pi);v3=0;i4=(7/9)*pi:0.01:(11/9)*pi);v4=-315.*(1-cos(9.*i4)-(7*pi)./2)/(pi);i5=(11/9)*pi:0.01:2*pi);v5=0;plot(i1,v1,b,i2,v2,b,i3,v3,b,i4,v4,b,i5,v5,b)速度图像 加速度程序及其图像 i1=(0:0.01:(1/4)*pi);a1=2240/(pi).2);i2=(1/4)*pi:0.01:(1/2)*pi);a2=-2240/(pi).2);i3=(1/2)*pi:0.01:(7/9)*pi);a3=0;i4=(7/9)*pi:0.01:(11/9)*pi);a4=-2835.*sin(9*i4)-(7*pi)/2)/(2*pi);i5=(11/9)*pi:0.01:2*pi);a5=0;plot(i1,a1,b,i2,a2,b,i3,a3,b,i4,a4,b,i5,a5,b)加速度图像 【3】绘制凸轮机构的线图i1=(0:0.01:(1/4)*pi);ds1=(2240.*i1)/(pi.2);s1=(1120.*(i1.2)/(pi.2);i2=(1/4)*pi:0.01:(1/2)*pi);ds2=1120/pi-(2240.*i2)/(pi.2);s2=140-1120.*(pi/2)-i2).2)/(pi).2);i3=(1/2)*pi:0.01:(7/9)*pi);ds3=i3-i3;s3=140+i3-i3;i4=(7/9)*pi:0.01:(11/9)*pi);ds4=(315/pi).*(-1+cos(9.*i4)-(7.*pi)/2);s4=140.*(1-(9.*i4-7*pi)/(4*pi)+sin(9.*i4)-(7*pi)./2)/(2*pi);i5=(11/9)*pi:0.01:2*pi);s5=i5-i5;ds5=i5-i5;plot(ds1,s1,ds2,s2,ds3,s3,ds4,s4,ds5,s5,)凸轮机构的线图【4】确定凸轮基圆半径和偏距由图像可知道凸轮的轴心应该在公共区以下凸轮偏心距取， 【5】凸轮的理论轮廓i1=(0:0.01:(1/4)*pi);x1=(200+280.*(2/pi).*i1).2).*cos(i1)-3.*sin(i1);y1=(200+280.*(2/pi).*i1).2).*sin(i1)+3.*cos(i1);i2=(1/4)*pi:0.01:(1/2)*pi);x2=(200+140-1120.*(pi/2)-i2).2)/(pi).2).*cos(i2)-3.*sin(i2);y2=(200+140-1120.*(pi/2)-i2).2)/(pi).2).*sin(i2)+3.*cos(i2);i3=(1/2)*pi:0.01:(7/9)*pi);x3=340.*cos(i3)-3.*sin(i3);y3=340.*sin(i3)+3.*cos(i3);i4=(7/9)*pi:0.01:(11/9)*pi);x4=(200+140.*(1-(9.*i4-7*pi)/(4*pi)+sin(9.*i4)-(7*pi)./2)/(2*pi).*cos(i4)-3.*sin(i4);y4=(200+140.*(1-(9.*i4-7*pi)/(4*pi)+sin(9.*i4)-(7*pi)./2)/(2*pi).*sin(i4)+3.*cos(i4);i5=(11/9)*pi:0.01:2*pi);x5=200.*cos(i5)-3.*sin(i5);y5=200.*sin(i5)+3.*cos(i5);plot(x1,y1,x2,y2,x3,y3,x4,y4,x5,y5)凸轮的理论轮廓【6】确定滚子半径的程序v=;syms i1 i2 i3 i4 i5 s0 = 200; e = 20; s1=280*(2/pi)*i1).2);t1 = (s1 + s0)*cos(i1)-e*sin(i1); y1 = (s0 + s1)*sin(i1) - e*cos(i1); ti1=diff(t1,i1); tii1=diff(t1,i1,2); yi1=diff(y1,i1); yii1=diff(y1,i1,2);for ii1=(0:0.01:(1/4)*pi); k1=subs(abs(ti1*yii1-tii1*yi1)/(ti12+yi12)1.5),i1,ii1); v=v,1/k1;end s2=140-1120.*(pi/2)-i2).2)/(pi).2);t2= (s2 + s0)*cos(i2)-e*sin(i2); y2 = (s0 + s2)*sin(i2) - e*cos(i2); ti2=diff(t2,i2); tii2=diff(t2,i2,2); yi2=diff(y2,i2); yii2=diff(y2,i2,2);for ii2=(1/4)*pi:0.01:(1/2)*pi); k2=subs(abs(ti2*yii2-tii2*yi2)/(ti22+yi22)1.5),i2,ii2); v=v,1/k2;end s3=140;t3 = (s3 + s0)*cos(i3)-e*sin(i3); y3 = (s0 + s3)*sin(i3) - e*cos(i3); ti3=diff(t3,i3); tii3=diff(t3,i3,2); yi3=diff(y3,i3); yii3=diff(y3,i3,2);for ii3=(1/2)*pi:0.01:(7/9)*pi); k3=subs(abs(ti3*yii3-tii3*yi3)/(ti32+yi32)1.5),i3,ii3); v=v,1/k3;ends4=140.*(1-(9.*i4-7*pi)/(4*pi)+sin(9.*i4)-(7*pi)./2)/(2*pi);t4 = (s4 + s0)*cos(i4)-e*sin(i4); y4 = (s0 + s4)*sin(i4) - e*cos(i4); ti4=diff(t4,i4); tii4=diff(t4,i4,2); yi4=diff(y4,i4); yii4=diff(y4,i4,2);for ii4=(7/9)*pi:0.01:(11/9)*pi); k4=subs(abs(ti4*yii4-tii4*yi4)/(ti42+yi42)1.5),i4,ii4); v=v,1/k4;Ends5=0;t5 = (s5 + s0)*cos(i5)-e*sin(i5); y4 = (s0 + s5)*sin(i5) - e*cos(i5); ti5=diff(t5,i5); tii5=diff(t5,i5,2); yi5=diff(y5,i5); yii5=diff(y5,i5,2);for ii5=(11/9)*pi:0.01:2*pi); k5=subs(abs(ti5*yii5-tii5*yi5)/(ti52+yi52)1.5),i5,ii5);v=v,1/k5;endmin(v)确定之后发现滚子半径是【7】确定凸轮的实际轮廓凸轮的实际轮廓x1=(200+280.*(2/pi).*i1).2).*cos(i1)-3.*sin(i1);y1=(200+280.*(2/pi).*i1).2).*sin(i1)+3.*cos(i1);i2=(1/4)*pi:0.01:(1/2)*pi);x2=(200+140-1120.*(pi/2)-i2).2)/(pi).2).*cos(i2)-3.*sin(i2);y2=(200+140-1120.*(pi/2)-i2).2)/(pi).2).*sin(i2)+3.*cos(i2);i3=(1/2)*pi:0.01:(7/9)*pi);x3=340.*cos(i3)-3.*sin(i3);y3=340.*sin(i3)+3.*cos(i3);i4=(7/9)*pi:0.01:(11/9)*pi);x4=(200+140.*(1-(9.*i4-7*pi)/(4*pi)+sin(9.*i4)-(7*pi)./2)/(2*pi).*cos(i4)-3.*sin(i4);y4=(200+140.*(1-(9.*i4-7*pi)/(4*pi)+sin(9.*i4)-(7*pi)./2)/(2*pi).*sin(i4)+3.*cos(i4);i5=(11/9)*pi:0.01:2*pi);x5=200.*cos(i5)-3.*sin(i5);y5=200.*sin(i5)+3.*cos(i5);dx1=(2240.*i1.*cos(i1)/(pi).2)+(200+1120.*(i1).2)/(pi).2).*sin(i1)-3.*cos(i1);dy1=(2240.*i1.*sin(i1)-(200+1120.*(i1).2)/(pi).2).*cos(i1)-3.*sin(i1);dx2=(-(1120.*(2.*i2-pi).*cos(i2)/(pi).2)-(340-1120.*(2.*i2-pi).2).*sin(i2)-3.*cos(i2);dy2=-(1120.*(2.*i2-pi).*sin(i2)/(pi).2)+(340-1120.*(2.*i2-pi).2).*cos(i2)-3.*sin(i2);dx3=-340.*sin(i3)-3.*cos(i3);dy3=340.*cos(i3)-3.*sin(i3);dx4=(-315/pi)+630.*cos(9.*i4-7.*pi)/2).*cos(i4)-(200+140.*(1-(9.*i4-7*pi)/(4*pi)+sin(9.*i4)-(7*pi)./2)/(2*pi).*sin(i4)-3.*cos(i4);dy4=(-315/pi)+630.*cos(9.*i4-7.*pi)/2).*sin(i4)+(200+140.*(1-(9.*i4-7*pi)/(4*pi)+sin(9.*i4)-(7*pi)./2)/(2*pi).*cos(i4)-3.*sin(i4);dx5=-200.*sin(i5)-3.*cos(i5);dy5=200.*cos(i5)-3.*sin(i5);X1=x1+3.*dy1/sqrt(dy1.2+dx1.2);Y1=y1-3.*dx1/sqrt(dy1.2+dx1.2);X2=x2+3.*dy2/sqrt(dy2.2+dx2.2);Y2=y2-3.*dx2/sqrt(dy2.2+dx2.2);X3=x3+3.*dy3/sqrt(dy3.2+dx3.2);Y3=y3-3.*dx3/sqrt(dy3.2+dx3.2);X4=x4+3.*dy4/sqrt(dy4.2+dx4.2);Y4=y4-3.*dx4/sqrt(dy4.2+dx4.2);X5=x5+3.*dy5/sqrt(dy5.2+dx5.2);Y5=y5-3.*dx5/sqrt(dy5.2+dx5.2);plot(X1,Y1,X2,Y2,X3,Y3,X4,Y4,X5,Y5)