机械原理课程设计报告偏置直动滚子推杆盘形凸轮

1、.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，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1=35°，2=65°。8.最小曲率半

2、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/pi2; 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=

3、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)/pi2; 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).*(

4、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

5、=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.*a3

6、0/(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).*

7、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(r02-e2);c111=1;c3=1;for(i=1:0.1:200) %由压力角条件循环求适宜基圆半径if (c111<35/180)&&(c3<65/180) %判断条件else a1=0:pi/6

8、0: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/pi2; % 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=y1-1

9、8*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)/pi2; 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).*

10、(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)

11、.*(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.*

12、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;

13、 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+

14、9;,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('Variable X'); %X轴ylabel('Variable Y'); %Y轴text(-250,-200,'工作廓线') %

15、文字标注text(100,-100,'理论廓线'); grid on %加网格axis equal%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*p

16、i/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+1 s0=sqrt(r02-e2);endend%求最大压力角位置 c111 c3 m1,n1=sort(force1); bend1=n1(end-1+1:end) jiaodu1=(bend1(end)-1)*3 m11,n11=sort(force11); bend11

17、=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+250 vv=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

18、./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(s02+e2) %求适宜基圆半径x1y1x11y11x2y2x3y3x

19、4y4x10y10x101y101x20y20x30y30x40y40force1force11force2force3force4c111c3jiaodu11jiaodu3四：计算结果及分析：1工作廓线坐标：1;推程加速阶段X坐标1424.3835.1846.7357.2667.3578.0088.0898.15108.4117.5127.6136.6144.4153.5161.0168.4176.2182.3189.6195.6200.7205.1210.9214.9217.5220.8223.4225.7226.3227.12推程加速阶段Y坐标209.1208.2206.1204.520

20、2.4199.5195.1191.7186.4181.1176.7170.0163.1156.4149.6141.7133.3124.2115.1106.596.7186.6976.7765.8654.2743.5632.7321.679.954-2.948-14.003推程减速阶段X坐标227.1227.6226.2225.5223.0220.7217.0213.5209.9203.2198.0191.8184.2176.7168.1159.3150.0140.8130.6120.3109.697.4786.6474.5562.4049.4837.1024.7511.31-1.846-14.

21、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

22、.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

23、-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-70.40-58.09-45.57-32.20-20.43-7.2505.37218.0030.5742.7654.3365.4576.8287.7797.49106.2115.7124.8132.7140.0147.2154.0161.8167.9173.4179.2185.19近休X坐标-92.81-82.02-72.10-62.45-51.31-40.80-29.29-18.15-7.2643.77613.9910近休Y坐标1

24、188.0193.2197.5200.0203.3206.7207.6209.8209.2209.5209.12理论廓线坐标;推程加速阶段X坐标12.0022.8432.2642.6652.7762.4271.1881.6490.9299.81108.7116.4125.1133.8140.0148.9155.9161.8168.9174.3179.9184.9189.0193.9197.2200.4203.3205.1207.8208.8209.7推程加速阶段Y坐标191.6190.3189.1187.5184.2182.9178.8174.8170.7165.7160.9155.2149.

25、9142.1136.8128.2121.3113.4104.296.9187.9078.6068.3159.7649.5538.5528.0717.457.054-3.310-14.81推程减速阶段X坐标209.0209.9208.7207.1205.0203.4199.7196.8191.2187.6181.2175.8169.0161.6154.5146.2137.2128.5119.4109.799.9788.7677.0266.6355.9144.6932.9620.159.487-2.737-14.15推程减速阶段Y坐标-16.14-27.33-38.05-49.38-60.04-7

26、1.76-81.88-92.41-102.8-113.4-123.4-132.7-142.3-151.3-159.2-168.1-175.9-183.9-190.4-196.9-202.9-207.9-211.1-215.5-219.5-222.2-224.6-225.3-226.3-226.7-226.5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-

27、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-65.52-53.96-42.26-30.33-19.38-7.8053.33914.7425.1436.6847.8857.5267.2177.4586.7095.27103.1111.3119.6126.5133.9140.6146.9153.7158.2164.9169.3近休阶段X坐标-84.20-75.30-66.83-56.50-47.71-37.59-27.78-17.93-7.9562.96712.00近休阶段Y坐标172.1176.7180.2183.2186.4188.5