機(jī)械原理課程設(shè)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(jī)輔助設(shè)計完畢偏置直動滾子推桿盤形凸輪機(jī)構(gòu)旳設(shè)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(yuǎn)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(yuǎn)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(dǎo)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(yuǎn)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(biāo)注text(100,-100,'理論廓線');gridon%加網(wǎng)格axisequal%坐標(biāo)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(biāo)：1;推程加速階段X坐標(biāo)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(biāo)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(biāo)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(biāo)-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(yuǎn)休階段X坐標(biāo)-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(yuǎn)休階段Y坐標(biāo)-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(biāo)-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(biāo)-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(biāo)-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(biāo)1188. 193. 197. 200. 203. 206.0 207. 209.8 209. 209. 209.（2）理論廓線坐標(biāo);推程加速階段X坐標(biāo)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(biāo)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(biāo)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(biāo)-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(yuǎn)休階段X坐標(biāo)-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(yuǎn)休階段Y坐標(biāo)-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(biāo)-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(biāo)-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