機械原理課程設計偏置直動滾子推桿盤形凸輪

凸輪大作業(yè)選題：凸輪5-C一：題目及原始數(shù)據(jù)：運用計算機輔助設計完畢偏置直動滾子推桿盤形凸輪機構(gòu)旳設計，已知數(shù)據(jù)如下所示，凸輪沿逆時針方向做勻速運動。具體規(guī)定如下：1.推程運動規(guī)律為等加速等減速運動，回程運動規(guī)律為五次多項式運動；2.近休凸輪轉(zhuǎn)角為0°-30°；推程凸輪轉(zhuǎn)角30°-210°；遠休凸輪轉(zhuǎn)角210°-280°；回程凸輪轉(zhuǎn)角280°-360?！?.初選基圓半徑為22mm；4.偏距為+14mm5.滾子半徑為18mm6.推桿行程為35mm7.許用壓力角為α1=35°，α2=65°。8.最小曲率半徑為0.35rr9.計算點數(shù)取120.二：推桿運動規(guī)律及凸輪輪廓線方程1.推程加速階段：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.推程減速階段：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.遠休階段：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.回程階段：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.近休階段：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計算程序e=14;r0=22s0=sqrt(r0^2-e^2);c111=1;c3=1;for(i=1:0.1:200)%由壓力角條件循環(huán)求合適基圓半徑if(c111<35/180)&&(c3<65/180)%判斷條件elsea1=0:pi/60:pi/2;%推程加速階段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;%對s1求導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;%推程減速階段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;%凸輪遠休階段s2=35;%推桿行程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;%推桿回程階段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;%推桿近休階段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*')%凸輪輪廓曲線繪制title(‘凸輪輪廓曲線繪制');xlabel('VariableX');%X軸ylabel('VariableY');%Y軸text(-250,-200,'工作廓線')%文字標注text(100,-100,'理論廓線');gridon%加網(wǎng)格axisequal%坐標相等a1=0:pi/60:pi/2;%壓力角計算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;%每循環(huán)一次基圓半徑+1s0=sqrt(r0^2-e^2);endend%求最大壓力角位置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)%求合適基圓半徑x1y1x11y11x2y2x3y3x4y4x10y10x101y101x20y20x30y30x40y40force1force11force2force3force4c111c3jiaodu11jiaodu3四：計算成果及分析：（1）工作廓線坐標：1;推程加速階段X坐標14 24.8 35.8 46.3 57.6 67.5 78.0 88.50 98.5 108.3 117. 127.14255136 136.6 144. 153.5 161.0 168. 176.0 182. 189. 195.6 200. 205. 210. 214. 217. 220. 223.4 225. 226.30872647 227.2推程加速階段Y坐標209. 208. 206. 204. 202. 199. 195.6 191. 186.86029371 181. 176.7 170. 163. 156. 149.6 141. 133.3 124.5 115. 106.24932735 96.1 86.9 76.7 65.6 54.7 43.6 32.3 21.67 9.54 -2.948 -14.03推程減速階段X坐標227. 227.6 226. 225. 223. 220. 217. 213. 209. 203. 198. 191. 184. 176. 168. 159.9 150. 140. 130. 120.3 109.6 97.7 86.64 74.5 62.0 49.8 37.0 24.5 11.1 -1.846 -14.04推程減速階段Y坐標-14.0 -25.9 -37.3 -49.1 -61.3 -73.6 -85.43 -97.07 -108. -119. -130. -141. -151. -161. -170. -179.7 -188. -196. -203. -210. -217. -222. -227. -232.4 -236. -239. -241. -243. -244. -244. -244.5遠休階段X坐標-14.0 -26.2 -39.2 -52.3 -64.8 -76.2 -88.7 -100. -112. -123. -134. -144. -155. -164. -174. -182. -191. -198. -206. -212.70743182 -218. -224. -229. -233.6遠休階段Y坐標-244. -243. -241. -239. -236. -232. -228. -223. -217. -211. -204. -197. -189. -181. -172. -163. -153. -143. -132. -121. -110.8 -98.54 -86.2 -74.27減速階段X坐標-234. -237. -240. -242. -243.4 -243. -242. -240.3 -237. -233. -228. -223. -217. -210. -203. -196.2 -188. -180. -171.6 -163. -154. -145. -136. -127. -118.9 -108. -99.688減速階段Y坐標-70.0 -58.9 -45.54 -32.0 -20.3 -7.250 5.72 18.00 30.7 42.6 54.3 65.5 76.2 87.47 97.49 106. 115. 124. 132. 140. 147. 154. 161. 167. 173. 179. 185.19近休X坐標-92.1 -82.65 -72.0 -62.05 -51.1 -40.0 -29.9 -18.5 -7.64 3.076 13.910近休Y坐標1188. 193. 197. 200. 203. 206.0 207. 209.8 209. 209. 209.（2）理論廓線坐標;推程加速階段X坐標12.0 22.4 32.6 42.6 52.66 62.2 71. 81.4 90.2 99.1 108. 116. 125. 133.13203958 140. 148. 155. 161. 168. 174.3 179. 184.7 189. 193. 197. 200. 203. 205. 207.8 208. 209.推程加速階段Y坐標191. 190. 189. 187. 184. 182. 178. 174. 170. 165. 160. 155. 149. 142. 136. 128. 121.2 113. 104. 96.1 87.0 78.0 68.1 59.6 49.5 38.5 28.44 17.5 7.054 -3.10 -14.1推程減速階段X坐標209.0 209.9 208. 207. 205. 203. 199. 196. 191. 187. 181. 175. 169. 161. 154.3 146. 137. 128. 119.4 109. 99. 88.6 77.2 66.85 55.1 44.69 32.6 20. 9.87 -2.37 -14.5推程減速階段Y坐標-16.40 -27.33 -38.5 -49.8 -60.04 -71.6 -81.8 -92.1 -102. -113.08170624 -123. -132. -142.3 -151.3 -159.8 -168. -175. -183.9 -190.05865654 -196. -202.1 -207. -211. -215. -219.4 -222.2 -224. -225. -226. -226. -226.遠休階段X坐標-12.4 -24.4 -36.8 -48.4 -59.6 -71.91 -82.9 -93.1 -104. -114.4 -124.5 -134. -143. -152. -161. -169. -177. -184. -190.9 -197. -202. -207. -212. -216.4遠休階段Y坐標-226. -225. -223. -221. -218.9 -215. -211. -206. -201. -195. -189. -182. -175. -167. -159. -151. -141. -132. -122. -112.5 -102. -91.0 -80.30 -69.7回程階段X坐標-217. -220. -222. -224. -225.5 -225.5 -224. -222. -219. -216. -212. -207.5 -202. -195. -189. -182. -174. -167. -159. -151. -142. -134. -125. -117. -108. -99.7 -90.0回程階段Y坐標-65.2 -53.6 -42.6 -30.3 -19.8 -7.05 3.39 14.4 25.94 36. 47.8 57.2 67.1 77.5 86.0 95.7 103. 111. 119. 126. 133. 140. 146. 153. 158. 164.2 16