机械原理课程设计 偏置直动滚子推杆盘形凸轮

./凸轮大作业选题：凸轮5-C一：题目及原始数据：利用计算机辅助设计完成偏置直动滚子推杆盘形凸轮机构的设计,已知数据如下所示,凸轮沿逆时针方向做匀速运动。具体要求如下：1.推程运动规律为等加速等减速运动,回程运动规律为五次多项式运动；2.近休凸轮转角为0°-30°；推程凸轮转角30°-210°；远休凸轮转角210°-280°；回程凸轮转角280°-360。°3.初选基圆半径为22mm；4.偏距为+14mm5.滚子半径为18mm6.推杆行程为35mm7.许用压力角为α1=35°,α2=65°。8.最小曲率半径为0.35rr9.计算点数取120.二：推杆运动规律及凸轮轮廓线方程1.推程加速阶段：s1=70.*a1.*a1/pi/pi;x1=<s0+s1>.*sin<a1>+e*cos<a1>;y1=<s0+s1>.*cos<a1>-e*sin<a1>;k1=140*a1/pi^2;i1=[<k1-e>.*sin<a1>+<s0+s1>.*cos<a1>].*[<k1-e>.*<k1-e>+<s0+s1>.*<s0+s1>].^<-1/2>;j1=[-<k1-e>.*cos<a1>+<s0+s1>.*sin<a1>].*[<k1-e>.*<k1-e>+<s0+s1>.*<s0+s1>].^<-1/2>;x10=x1-18*j1;y10=y1-18*i1;2.推程减速阶段：s11=35-70.*<pi-a11>.*<pi-a11>/pi/pi;x11=<s0+s11>.*sin<a11>+e*cos<a11>;y11=<s0+s11>.*cos<a11>-e*sin<a11>;k11=140.*<pi-a1>/pi^2;i11=[<k11-e>.*sin<a11>+<s0+s11>.*cos<a11>].*[<k11-e>.*<k11-e>+<s0+s11>.*<s0+s11>].^<-1/2>;j11=[-<k11-e>.*cos<a11>+<s0+s11>.*sin<a11>].*[<k11-e>.*<k11-e>+<s0+s11>.*<s0+s11>].^<-1/2>;x101=x11-18*j11;y101=y11-18*i11;3.远休阶段：x2=<s0+s2>.*sin<a2>+e*cos<a2>;y2=<s0+s2>.*cos<a2>-e*sin<a2>;k2=0;i2=[<k2-e>.*sin<a2>+<s0+s2>.*cos<a2>].*[<k2-e>.*<k2-e>+<s0+s2>.*<s0+s2>].^<-1/2>;j2=[-<k2-e>.*cos<a2>+<s0+s2>.*sin<a2>].*[<k2-e>.*<k2-e>+<s0+s2>.*<s0+s2>].^<-1/2>;x20=x2-18*j2;y20=y2-18*i2;4.回程阶段：a30=33*pi/18-a3;s3=<350.*a30.*a30.*a30/<4*pi/9>^3-525.*a30.*a30.*a30.*a30/<4*pi/9>^4+210.*a30.*a30.*a30.*a30.*a30/<4*pi/9>^5>;x3=<s0+s3>.*sin<a3>+e*cos<a3>;y3=<s0+s3>.*cos<a3>-e*sin<a3>;k3=-1050.*a30.*a30/<4*pi/9>^3+2100.*a30.*a30.*a30/<4*pi/9>^4-1050.*a30.*a30.*a30.*a30/<4*pi/9>^5;i3=[<k3-e>.*sin<a3>+<s0+s3>.*cos<a3>].*[<k3-e>.*<k3-e>+<s0+s3>.*<s0+s3>].^<-1/2>;j3=[-<k3-e>.*cos<a3>+<s0+s3>.*sin<a3>].*[<k3-e>.*<k3-e>+<s0+s3>.*<s0+s3>].^<-1/2>;x30=x3-18*j3;y30=y3-18*i3;5.近休阶段：s4=0;x4=<s0+s4>.*sin<a4>+e*cos<a4>;y4=<s0+s4>.*cos<a4>-e*sin<a4>;k4=0;i4=[<k4-e>.*sin<a4>+<s0+s4>.*cos<a4>].*[<k4-e>.*<k4-e>+<s0+s4>.*<s0+s4>].^<-1/2>;j4=[-<k4-e>.*cos<a4>+<s0+s4>.*sin<a4>].*[<k4-e>.*<k4-e>+<s0+s4>.*<s0+s4>].^<-1/2>;x40=x4-18*j4;y40=y4-18*i4;三：matlab计算程序e=14;r0=22s0=sqrt<r0^2-e^2>;c111=1;c3=1;for<i=1:0.1:200>%由压力角条件循环求合适基圆半径if<c111<35/180>&&<c3<65/180>%判断条件elsea1=0:pi/60:pi/2;%推程加速阶段s1=70.*a1.*a1/pi/pi;x1=<s0+s1>.*sin<a1>+e*cos<a1>;y1=<s0+s1>.*cos<a1>-e*sin<a1>;k1=140*a1/pi^2;%对s1求导i1=[<k1-e>.*sin<a1>+<s0+s1>.*cos<a1>].*[<k1-e>.*<k1-e>+<s0+s1>.*<s0+s1>].^<-1/2>;j1=[-<k1-e>.*cos<a1>+<s0+s1>.*sin<a1>].*[<k1-e>.*<k1-e>+<s0+s1>.*<s0+s1>].^<-1/2>;x10=x1-18*j1;y10=y1-18*i1;a11=pi/2:pi/60:pi;%推程减速阶段s11=35-70.*<pi-a11>.*<pi-a11>/pi/pi;x11=<s0+s11>.*sin<a11>+e*cos<a11>;y11=<s0+s11>.*cos<a11>-e*sin<a11>;k11=140.*<pi-a1>/pi^2;i11=[<k11-e>.*sin<a11>+<s0+s11>.*cos<a11>].*[<k11-e>.*<k11-e>+<s0+s11>.*<s0+s11>].^<-1/2>;j11=[-<k11-e>.*cos<a11>+<s0+s11>.*sin<a11>].*[<k11-e>.*<k11-e>+<s0+s11>.*<s0+s11>].^<-1/2>;x101=x11-18*j11;y101=y11-18*i11;a2=pi:pi/60:25*pi/18;%凸轮远休阶段s2=35;%推杆行程x2=<s0+s2>.*sin<a2>+e*cos<a2>;y2=<s0+s2>.*cos<a2>-e*sin<a2>;k2=0;i2=[<k2-e>.*sin<a2>+<s0+s2>.*cos<a2>].*[<k2-e>.*<k2-e>+<s0+s2>.*<s0+s2>].^<-1/2>;j2=[-<k2-e>.*cos<a2>+<s0+s2>.*sin<a2>].*[<k2-e>.*<k2-e>+<s0+s2>.*<s0+s2>].^<-1/2>;x20=x2-18*j2;y20=y2-18*i2;a3=25*pi/18:pi/60:33*pi/18;%推杆回程阶段a30=33*pi/18-a3;s3=<350.*a30.*a30.*a30/<4*pi/9>^3-525.*a30.*a30.*a30.*a30/<4*pi/9>^4+210.*a30.*a30.*a30.*a30.*a30/<4*pi/9>^5>;x3=<s0+s3>.*sin<a3>+e*cos<a3>;y3=<s0+s3>.*cos<a3>-e*sin<a3>;k3=-1050.*a30.*a30/<4*pi/9>^3+2100.*a30.*a30.*a30/<4*pi/9>^4-1050.*a30.*a30.*a30.*a30/<4*pi/9>^5;i3=[<k3-e>.*sin<a3>+<s0+s3>.*cos<a3>].*[<k3-e>.*<k3-e>+<s0+s3>.*<s0+s3>].^<-1/2>;j3=[-<k3-e>.*cos<a3>+<s0+s3>.*sin<a3>].*[<k3-e>.*<k3-e>+<s0+s3>.*<s0+s3>].^<-1/2>;x30=x3-18*j3;y30=y3-18*i3;a4=33*pi/18:pi/60:2*pi;%推杆近休阶段s4=0;x4=<s0+s4>.*sin<a4>+e*cos<a4>;y4=<s0+s4>.*cos<a4>-e*sin<a4>;k4=0;i4=[<k4-e>.*sin<a4>+<s0+s4>.*cos<a4>].*[<k4-e>.*<k4-e>+<s0+s4>.*<s0+s4>].^<-1/2>;j4=[-<k4-e>.*cos<a4>+<s0+s4>.*sin<a4>].*[<k4-e>.*<k4-e>+<s0+s4>.*<s0+s4>].^<-1/2>;x40=x4-18*j4;y40=y4-18*i4;plot<x10,y10,'-g*',x101,y101,'-g+',x20,y20,'-r*',x30,y30,'-b*',x40,y40,'-k*',x1,y1,'-g*',x11,y11,'-g+',x2,y2,'-r*',x3,y3,'-b*',x4,y4,'-k*'>%凸轮轮廓曲线绘制title<‘凸轮轮廓曲线绘制'>;xlabel<'VariableX'>;%X轴ylabel<'VariableY'>;%Y轴text<-250,-200,'工作廓线'>%文字标注text<100,-100,'理论廓线'>;gridon%加网格axisequal%坐标相等a1=0:pi/60:pi/2;%压力角计算force1=abs<atan<<k1>.*<s0+s1>.^-1>>;c1=max<force1>;a11=pi/2:pi/60:pi;force11=abs<atan<<k11>.*<s0+s11>.^-1>>;c11=max<force11>;c111=max<c1,c11>;a2=pi:pi/60:25*pi/18;force2=abs<atan<<k2>.*<s0+s2>.^-1>>;c2=max<force2>;a3=25*pi/18:pi/60:33*pi/18;force3=abs<atan<<k3>.*<s0+s3>.^-1>>;c3=max<force3>;a4=33*pi/18:pi/60:2*pi;force4=abs<atan<<k4>.*<s0+s4>.^-1>>;c4=max<force4>;r0=r0+1;%每循环一次基圆半径+1s0=sqrt<r0^2-e^2>;endend%求最大压力角位置c111c3[m1,n1]=sort<force1>;bend1=n1<end-1+1:end>jiaodu1=<bend1<end>-1>*3[m11,n11]=sort<force11>;bend11=n11<end-1+1:end>jiaodu11=<bend11<end>-1>*3+90[m3,n3]=sort<force3>;bend3=n3<end-1+1:end>jiaodu=<bend3<end>-1>*3+250vv=i1./j1;vv1=diff<vv>;vv2=diff<vv,2>;vv22=[0,vv2];p=<1+vv1.^2>.^<3/2>./vv22;g=min<p>vv1=i11./j11;vv11=diff<vv1>;vv21=diff<vv1,2>;vv221=[0,vv21];p1=<1+vv11.^2>.^<3/2>./vv221;g1=min<p1>vv2=i2./j2;vv222=diff<vv2>;vv223=diff<vv2,2>;vv2211=[0,vv223];p2=<1+vv222.^2>.^<3/2>./vv2211;g2=min<p2>vv=i3./j3;vv1=diff<vv>;vv2=diff<vv,2>;vv22=[0,vv2];p=<1+vv1.^2>.^<3/2>./vv22;g3=min<p>vv=i4./j4;vv1=diff<vv>;vv2=diff<vv,2>;vv22=[0,vv2];p=<1+vv1.^2>.^<3/2>./vv22;g4=min<p>>ro=sqrt<s0^2+e^2>%求合适基圆半径x1y1x11y11x2y2x3y3x4y4x10y10x101y101x20y20x30y30x40y40force1force11force2force3force4c111c3jiaodu11jiaodu3四：计算结果及分析：〔1工作廓线坐标：1;推程加速阶段X坐标14 24.38 35.18 46.73 57.26 67.35 78.00 88.08 98.15 108.4 117.5 127.6 136.6 144.4 153.5 161.0 168.4 176.2 182.3 189.6 195.6 200.7 205.1 210.9 214.9 217.5 220.8 223.4 225.7 226.3 227.12推程加速阶段Y坐标209.1 208.2 206.1 204.5 202.4 199.5 195.1 191.7 186.4 181.1 176.7 170.0 163.1 156.4 149.6 141.7 133.3 124.2 115.1 106.5 96.71 86.69 76.77 65.86 54.27 43.56 32.73 21.67 9.954 -2.948 -14.003推程减速阶段X坐标227.1 227.6 226.2 225.5 223.0 220.7 217.0 213.5 209.9 203.2 198.0 191.8 184.2 176.7 168.1 159.3 150.0 140.8 130.6 120.3 109.6 97.47 86.64 74.55 62.40 49.48 37.10 24.75 11.31 -1.846 -14.004推程减速阶段Y坐标-14.00 -25.49 -37.53 -49.81 -61.63 -73.26 -85.13 -97.77 -108.0 -119.2 -130.4 -141.5 -151.1 -161.0 -170.2 -179.7 -188.9 -196.5 -203.4 -210.4 -217.9 -222.8 -227.6 -232.7 -236.7 -239.6 -241.5 -243.3 -244.8 -244.6 -244.15远休阶段X坐标-14.00 -26.32 -39.22 -52.33 -64.08 -76.02 -88.07 -100.2 -112.7 -123.9 -134.2 -144.9 -155.3 -164.1 -174.6 -182.8 -191.1 -198.4 -206.4 -212.2 -218.5 -224.5 -229.6 -233.26远休阶段Y坐标-244.1 -243.3 -241.7 -239.1 -236.2 -232.4 -228.5 -223.4 -217.4 -211.7 -204.5 -197.2 -189.4 -181.9 -172.3 -163.5 -153.9 -143.6 -132.5 -121.7 -110.8 -98.44 -86.42 -74.027减速阶段X坐标-234.8 -237.0 -240.2 -242.5 -243.4 -243.9 -242.1 -240.3 -237.2 -233.4 -228.4 -223.2 -217.6 -210.2 -203.0 -196.2 -188.0 -180.9 -171.1 -163.9 -154.4 -145.9 -136.8 -127.7 -118.9 -108.7 -99.688减速阶段Y坐标-70.40 -58.09 -45.57 -32.20 -20.43 -7.250 5.372 18.00 30.57 42.76 54.33 65.45 76.82 87.77 97.49 106.2 115.7 124.8 132.7 140.0 147.2 154.0 161.8 167.9 173.4 179.2 185.19近休X坐标-92.81 -82.02 -72.10 -62.45 -51.31 -40.80 -29.29 -18.15 -7.264 3.776 13.9910近休Y坐标1188.0 193.2 197.5 200.0 203.3 206.7 207.6 209.8 209.2 209.5 209.1〔2理论廓线坐标;推程加速阶段X坐标12.00 22.84 32.26 42.66 52.77 62.42 71.18 81.64 90.92 99.81 108.7 116.4 125.1 133.8 140.0 148.9 155.9 161.8 168.9 174.3 179.9 184.9 189.0 193.9 197.2 200.4 203.3 205.1 207.8 208.8 209.7推程加速阶段Y坐标191.6 190.3 189.1 187.5 184.2 182.9 178.8 174.8 170.7 165.7 160.9 155.2 149.9 142.1 136.8 128.2 121.3 113.4 104.2 96.91 87.90 78.60 68.31 59.76 49.55 38.55 28.07 17.45 7.054 -3.310 -14.81推程减速阶段X坐标209.0 209.9 208.7 207.1 205.0 203.4 199.7 196.8 191.2 187.6 181.2 175.8 169.0 161.6 154.5 146.2 137.2 128.5 119.4 109.7 99.97 88.76 77.02 66.63 55.91 44.69 32.96 20.15 9.487 -2.737 -14.15推程减速阶段Y坐标-16.14 -27.33 -38.05 -49.38 -60.04 -71.76 -81.88 -92.41 -102.8 -113.4 -123.4 -132.7 -142.3 -151.3 -159.2 -168.1 -175.9 -183.9 -190.4 -196.9 -202.9 -207.9 -211.1 -215.5 -219.5 -222.2 -224.6 -225.3 -226.3 -226.7 -226.5远休阶段X坐标-12.74 -24.44 -36.88 -48.94 -59.36 -71.91 -82.89 -93.01 -104.9 -114.7 -124.4 -134.4 -143.3 -152.4 -161.6 -169.2 -177.8 -184.2 -190.6 -197.3 -202.1 -207.0 -212.2 -216.4远休阶段Y坐标-226.5 -225.5 -223.9 -221.4 -218.1 -215.4 -211.4 -206.5 -201.4 -195.5 -189.3 -182.6 -175.4 -167.4 -159.4 -151.4 -141.1 -132.7 -122.2 -112.2 -102.1 -91.10 -80.69 -69.97回程阶段X坐标-217.4 -220.3 -222.2 -224.3 -225.5 -225.5 -224.0 -222.9 -219.4 -216.9 -212.3 -207.4 -202.0 -195.1 -189.3 -182.7 -174.4 -167.3 -159.1 -151.5 -142.3 -134.1 -125.9 -117.6 -108.7 -99.37 -90.00回程阶段Y坐标-65.52 -53.96 -42.26 -30.33 -19.38 -7.805 3.339 14.74 25.14 36.68 47.88 57.52 67.21 77.45 86.70 95.27 103.1 111.3 119.6 126.5 133.9 140.6 146.9 153.7 158.2 164.9 169.3近休阶段X坐标-84.20 -75.30 -66.83 -56