凸輪機構大作業(yè)

1、機械原理大作業(yè)凸輪機構設計（題號：4-A）班 級 學 號 姓 名 成 績 同組者 2016年5月14日目錄（一） 題目及原始數據···············（二） 推桿運動規(guī)律及凸輪廓線方程·········（三） 程序框圖·········（四） 計算程序·

2、;················（五） 程序計算結果及分析·············（六） 凸輪機構圖·················（

3、七） 心得體會··················（八） 參考書···················一 題目及原始數據試用計算機輔助設計完成偏置直動滾子推桿盤形凸輪機構的設計（1）推程運動規(guī)律為五次多項式運動規(guī)律，回程運動規(guī)律為

4、余弦加速度運動規(guī)律；（2）打印出原始數據；（3）打印出理論輪廓和實際輪廓的坐標值；（4）打印出推程和回程的最大壓力角，以及出現最大壓力角時凸輪的相應轉角；（5）打印出凸輪實際輪廓曲線的最小曲率半徑，以及相應的凸輪轉角；（6）打印最后所確定的凸輪的基圓半徑。表一 偏置直動滾子推桿盤形凸輪機構的已知參數題號初選的基圓半徑R0/mm偏距E/mm滾子半徑Rr/mm推桿行程h/mm許用壓力角許用最小曲率半徑amin124-A155102830°700.3Rr計算點數：N=90q1=60; 近休止角1q2=180; 推程運動角2q3=90; 遠休止角3q4=90; 回程運動角4二 推桿運動規(guī)律及

5、凸輪廓線方程 推桿運動規(guī)律：（1）近休階段：0o<60 o s=0；ds/d=0;=0;（2）推程階段：60o<180 o五次多項式運動規(guī)律：Q1=Q-60;s=10*h*Q1*Q1*Q1/(q2*q2*q2)-15*h*Q1*Q1*Q1*Q1/(q2*q2*q2*q2)+6*h*Q1*Q1*Q1*Q1*Q1/(q2*q2*q2*q2*q2);ds/d=30*h*Q1*Q1*QQ/(q2*q2*q2)-60*h*Q1*Q1*Q1*QQ/(q2*q2*q2*q2)+30*h*Q1*Q1*Q1*Q1*QQ/(q2*q2*q2*q2*q2);=60*h*Q1*QQ*QQ/(q2*q2*q

6、2)-180*h*Q1*Q1*QQ*QQ/(q2*q2*q2*q2)+120*h*Q1*Q1*Q1*QQ*QQ/(q2*q2*q2*q2*q2);（3）遠休階段：180o<270 o s=h=24;ds/d=0;=0;(4) 回程階段：270<360Q2=Q-270;s=h*(1+cos(2*Q2/QQ)/2;ds/d=-h*sin(2*Q2/QQ);=-2*h*cos(2*Q2/QQ);凸輪廓線方程：（1）理論廓線方程：s0=sqrt(r02-e2)x=(s0+s)sin+ecosy=(s0+s)cos-esin(2)實際廓線方程 先求x，y的一、二階導數dx=(ds/d-e)*

7、sin()+(s0+s)*cos();dy=(ds/d-e)*cos()-(s0+s)*sin();dxx=dss*sin()+(ds/d-e)*cos()+ds/d*cos()-(s0+s)*sin();dyy=dss*cos()-(ds/d-e)*sin()-ds/d*sin()-(s0+s)*cos();x1=x-rr*coso;y1=y-rr*sino;再求sin，cossinx/sqrt(x)2+(y)2)cos-y/sqrt(x)2+(y)2)最后求實際廓線方程x1=x-rr*cos;y1=y-rr*sin;三 程序框圖|>1？開始讀入：r0，r0，rt，h或（），e或（lA

8、B、lOA）1，2，3，4，1，2， amin，N計算：s0I=1計算：s，x，y，ds/d，dx/d，dy/d，x，y計算：r0= r0+r0r0= r0=r0是回程？|>2？選出1max及相應的凸輪轉角1選出2max及相應的凸輪轉角2計算：<0?|-rtamin？計算a選出|amin|及相應的凸輪轉角aminI=I+1IN？打?。簒，y，x，y，amin，amin，1max，1max，2max，2max， r0， s結束四 計算程序程序#include<stdio.h>#include<math.h> void main()double r0,or,rr

9、,h,e,q1,q2,q3,q4,a,a11,a22,Q,pi,pa,paa,QQ,A1,A2,B1,B2,C1,C2; /*定義變量*/double xz90,yz90,sz90,x1z90,y1z90,Q1,Q2;double s0,s,x,y,y1,x1,dx,dxx,dy,dyy,ds,dss,sino,coso,p;int N,i,j;r0=19;e=5;h=28;rr=10;q1=60;q2=120;q3=90;q4=90;a11=30;a22=70;or=1;pi=3.141592653;pa=3; /*給已知量賦值*/N=90;A1=0;B1=0;C1=1000;for(; ;

10、)Q=0;C1=1000;QQ=180/pi;r0=r0+or;s0=sqrt(r0*r0-e*e);for(i=1,j=0;i<=N;i+,j+)if(Q<60) /*近休階段*/s=0;ds=0;dss=0;a=atan(e/sqrt(r0*r0-e*e); /*求壓力角*/if(a>a11/QQ)break;elseif(a>A1)A1=a; A2=Q;else if(Q>=60&&Q<180) /*五次多項式運動*/Q1=Q-60;s=10*h*Q1*Q1*Q1/(q2*q2*q2)-15*h*Q1*Q1*Q1*Q1/(q2*q2*q

11、2*q2)+6*h*Q1*Q1*Q1*Q1*Q1/(q2*q2*q2*q2*q2);ds=30*h*Q1*Q1*QQ/(q2*q2*q2)-60*h*Q1*Q1*Q1*QQ/(q2*q2*q2*q2)+30*h*Q1*Q1*Q1*Q1*QQ/(q2*q2*q2*q2*q2);dss=60*h*Q1*QQ*QQ/(q2*q2*q2)-180*h*Q1*Q1*QQ*QQ/(q2*q2*q2*q2)+120*h*Q1*Q1*Q1*QQ*QQ/(q2*q2*q2*q2*q2);a=atan(fabs(ds-e)/(sqrt(r0*r0-e*e)+s);if(a>a11/QQ)break;else

12、 /*遠休階段*/if(a>A1)A1=a;A2=Q;else if(Q>=180&&Q<270)s=28;ds=0;dss=0;a=atan(fabs(ds-e)/(sqrt(r0*r0-e*e)+s);if(a>a22/QQ)break;elseif(a>B1)B1=a;B2=Q;else if(Q>=270&&Q<360) /*余弦加速度運動*/Q2=Q-270;s=h*(1+cos(2*Q2/QQ)/2;ds=-h*sin(2*Q2/QQ);dss=-2*h*cos(2*Q2/QQ);a=atan(fabs(ds

13、-e)/(sqrt(r0*r0-e*e)+s);if(a>a22/QQ)break;elseif(a>B1)B1=a;B2=Q;dx=(ds-e)*sin(Q/QQ)+(s0+s)*cos(Q/QQ);dy=(ds-e)*cos(Q/QQ)-(s0+s)*sin(Q/QQ);dxx=dss*sin(Q/QQ)+(ds-e)*cos(Q/QQ)+ds*cos(Q/QQ)-(s0+s)*sin(Q/QQ);dyy=dss*cos(Q/QQ)-(ds-e)*sin(Q/QQ)-ds*sin(Q/QQ)-(s0+s)*cos(Q/QQ);sino=dx/(sqrt(dx*dx+dy*dy)

14、;coso=-dy/(sqrt(dx*dx+dy*dy);x=(s0+s)*sin(Q/QQ)+e*cos(Q/QQ);y=(s0+s)*cos(Q/QQ)-e*sin(Q/QQ);x1=x-rr*coso;y1=y-rr*sino;szj=s;yzj=y;xzj=x;x1zj=x1;y1zj=y1;p=pow(dx*dx+dy*dy,1.5)/(dx*dyy-dy*dxx); /*求理論輪廓曲率半徑*/if(p<0)paa=(fabs(p)-rr);if(paa<pa)break;elseif(paa<C1)C1=paa;C2=Q;Q=Q+4;if(i=91)break;f

15、or(j=0;j<90;j+)printf("第%d組數據 ",j+1); /*輸出數據*/printf("s=%f ",szj);printf("x=%f,y=%f;",xzj,yzj);printf("x1=%f,y1=%fn",x1zj,y1zj);printf("r0=%fn",r0);printf("推程最大壓力角(弧度)=%f,相應凸輪轉角=%fn",A1,A2-4);printf("回程最大壓力角(弧度)=%f,相應凸輪轉角=%fn",

16、B1,B2-4);printf("最小曲率半徑=%f,相應凸輪轉角=%fn",C1,C2-4);2. matalab繪圖x=5.000000 6.625241 8.218205 9.771130 11.276451 12.726835 14.115215 15.434827 16.679242 17.842397 18.918626 19.902685 20.789781 21.575590 22.256286 22.828551 23.298459 23.706615 24.097554 24.507799 24.963745 25.480318 26.060379 26

17、.694836 27.363383 28.035800 28.673715 29.232729 29.664801 29.920768 29.952907 29.717406 29.176650 28.301221 27.071507 25.478865 23.526246 21.228245 18.610551 15.708757 12.566564 9.233376 5.761349 2.201948 -1.397906 -5.000000 -8.578422 -12.115052 -15.592657 -18.994297 -22.303399 -25.503841 -28.580030

18、 -31.516981 -34.300384 -36.916679 -39.353120 -41.597836 -43.639892 -45.469338 -47.077263 -48.455831 -49.598328 -50.499187 -51.154019 -51.559634 -51.714055 -51.616530 -51.233453 -50.364513 -48.991675 -47.144744 -44.866118 -42.209132 -39.235944 -36.015085 -32.618764 -29.120045 -25.590019 -22.095099 -1

19、8.694544 -15.438322 -12.365412 -9.502600 -6.863834 -4.450154 -2.250205 -0.241303 1.608997 3.340895 5.000000;y=23.473389 23.067427 22.549082 21.920881 21.185883 20.347670 19.410325 18.378415 17.256967 16.051445 14.767721 13.412051 11.991039 10.511608 8.980965 7.406568 5.800408 4.185421 2.572459 0.957

20、412 -0.675351 -2.349452 -4.092999 -5.935252 -7.903549 -10.020601 -12.302228 -14.755601 -17.378031 -20.156343 -23.066822 -26.075733 -29.140389 -32.210697 -35.231149 -38.143149 -40.887607 -43.407693 -45.651627 -47.575413 -49.145373 -50.340385 -51.153688 -51.594160 -51.686950 -51.473389 -50.999220 -50.

21、276588 -49.309014 -48.101211 -46.659063 -44.989598 -43.100947 -41.002313 -38.703920 -36.216966 -33.553566 -30.726696 -27.750129 -24.638366 -21.406568 -18.070478 -14.646352 -11.150869 -7.601061 -4.014222 -0.407825 3.200559 6.792159 10.321065 13.715687 16.907573 19.835197 22.446270 24.699658 26.566822

22、 28.032724 29.096164 29.769520 30.077928 30.057908 29.755535 29.224195 28.522064 27.709391 26.845720 25.987174 25.183912 24.477872 23.900907 23.473389;x1=2.916667 3.864724 4.793953 5.699826 6.577930 7.423987 8.233875 9.003649 9.729558 10.408065 11.035865 11.609900 12.127372 12.585761 12.982834 13.31

23、6655 13.637197 13.989954 14.385216 14.841722 15.369724 15.961917 16.595549 17.241474 17.871626 18.461055 18.986391 19.423879 19.748587 19.934923 19.958013 19.795395 19.428612 18.844393 18.035244 16.999369 15.739987 14.264216 12.581802 10.703984 8.642680 6.409975 4.017612 1.476005 -1.207747 -4.033175

24、 -6.919656 -9.772424 -12.577583 -15.321465 -17.990702 -20.572290 -23.053652 -25.422699 -27.667890 -29.778285 -31.743603 -33.554270 -35.201463 -36.677159 -37.974167 -39.086169 -40.007747 -40.734411 -41.262621 -41.589804 -41.714366 -41.635699 -41.376364 -40.850805 -40.008452 -38.855049 -37.403903 -35.

25、676949 -33.704972 -31.526827 -29.187728 -26.736824 -24.224319 -21.698402 -19.202199 -16.770908 -14.429195 -12.188866 -10.046784 -7.982989 -5.959305 -3.919615 -1.795463 0.475989 2.916667;y1=13.692810 13.455999 13.153631 12.787181 12.358432 11.869474 11.322689 10.720742 10.066564 9.363343 8.614504 7.8

26、23697 6.994773 6.131771 5.238896 4.320498 3.219708 1.821843 0.191177 -1.605194 -3.495769 -5.415401 -7.320538 -9.196225 -11.051016 -12.905780 -14.783306 -16.701480 -18.669812 -20.688233 -22.747295 -24.829259 -26.909752 -28.959788 -30.947932 -32.842380 -34.612723 -36.231183 -37.673270 -38.917916 -39.9

27、47376 -40.747241 -41.306893 -41.620545 -41.688758 -41.520236 -41.137755 -40.554855 -39.774375 -38.800119 -37.636833 -36.290183 -34.766732 -33.073900 -31.219936 -29.213872 -27.065480 -24.785228 -22.384225 -19.874168 -17.267286 -14.576280 -11.814260 -8.994681 -6.131282 -3.238012 -0.328966 2.581683 5.1

28、07582 7.240582 9.322318 11.314634 13.178220 14.874574 16.368490 17.630629 18.639749 19.384302 19.863216 20.085799 20.070803 19.844722 19.439472 18.889620 18.229473 17.490557 16.700486 15.884986 15.075231 14.320076 13.692810; plot(x1,y1,x,y,'r')：五 程序計算結果及分析基圓半徑 r0=24.000000推程最大壓力角(弧度)=0.51351

29、2,相應凸輪轉角=172.000000回程最大壓力角(弧度)=0.766377,相應凸輪轉角=352.000000最小曲率半徑=14.000000,相應凸輪轉角=340.000000數據第1組數據 s=0.000000 x=5.000000, y=23.473389; x1=2.916667 ,y1=13.692810第2組數據 s=0.000000 x=6.625241,y=23.067427;x1=3.864724,y1=13.455999第3組數據 s=0.000000 x=8.218205,y=22.549082;x1=4.793953,y1=13.153631第4組數據 s=0.00

30、0000 x=9.771130,y=21.920881;x1=5.699826,y1=12.787181第5組數據 s=0.000000 x=11.276451,y=21.185883;x1=6.577930,y1=12.358432第6組數據 s=0.000000 x=12.726835,y=20.347670;x1=7.423987,y1=11.869474第7組數據 s=0.000000 x=14.115215,y=19.410325;x1=8.233875,y1=11.322689第8組數據 s=0.000000 x=15.434827,y=18.378415;x1=9.003649,

31、y1=10.720742第9組數據 s=0.000000 x=16.679242,y=17.256967;x1=9.729558,y1=10.066564第10組數據 s=0.000000 x=17.842397,y=16.051445;x1=10.408065,y1=9.363343第11組數據 s=0.000000 x=18.918626,y=14.767721;x1=11.035865,y1=8.614504第12組數據 s=0.000000 x=19.902685,y=13.412051;x1=11.609900,y1=7.823697第13組數據 s=0.000000 x=20.78

32、9781,y=11.991039;x1=12.127372,y1=6.994773第14組數據 s=0.000000 x=21.575590,y=10.511608;x1=12.585761,y1=6.131771第15組數據 s=0.000000 x=22.256286,y=8.980965;x1=12.982834,y1=5.238896第16組數據 s=0.000000 x=22.828551,y=7.406568;x1=13.316655,y1=4.320498第17組數據 s=0.009859 x=23.298459,y=5.800408;x1=13.637197,y1=3.2197

33、08第18組數據 s=0.074888 x=23.706615,y=4.185421;x1=13.989954,y1=1.821843第19組數據 s=0.239680 x=24.097554,y=2.572459;x1=14.385216,y1=0.191177第20組數據 s=0.538042 x=24.507799,y=0.957412;x1=14.841722,y1=-1.605194第21組數據 s=0.993827 x=24.963745,y=-0.675351;x1=15.369724,y1=-3.495769第22組數據 s=1.621760 x=25.480318,y=-2.

34、349452;x1=15.961917,y1=-5.415401第23組數據 s=2.428271 x=26.060379,y=-4.092999;x1=16.595549,y1=-7.320538第24組數據 s=3.412322 x=26.694836,y=-5.935252;x1=17.241474,y1=-9.196225第25組數據 s=4.566240 x=27.363383,y=-7.903549;x1=17.871626,y1=-11.051016第26組數據 s=5.876543 x=28.035800,y=-10.020601;x1=18.461055,y1=-12.905

35、780第27組數據 s=7.324772 x=28.673715,y=-12.302228;x1=18.986391,y1=-14.783306第28組數據 s=8.888320 x=29.232729,y=-14.755601;x1=19.423879,y1=-16.701480第29組數據 s=10.541260 x=29.664801,y=-17.378031;x1=19.748587,y1=-18.669812第30組數據 s=12.255178 x=29.920768,y=-20.156343;x1=19.934923,y1=-20.688233第31組數據 s=14.000000

36、x=29.952907,y=-23.066822;x1=19.958013,y1=-22.747295第32組數據 s=15.744822 x=29.717406,y=-26.075733;x1=19.795395,y1=-24.829259第33組數據 s=17.458740 x=29.176650,y=-29.140389;x1=19.428612,y1=-26.909752第34組數據 s=19.111680 x=28.301221,y=-32.210697;x1=18.844393,y1=-28.959788第35組數據 s=20.675228 x=27.071507,y=-35.23

37、1149;x1=18.035244,y1=-30.947932第36組數據 s=22.123457 x=25.478865,y=-38.143149;x1=16.999369,y1=-32.842380第37組數據 s=23.433760 x=23.526246,y=-40.887607;x1=15.739987,y1=-34.612723第38組數據 s=24.587678 x=21.228245,y=-43.407693;x1=14.264216,y1=-36.231183第39組數據 s=25.571729 x=18.610551,y=-45.651627;x1=12.581802,y1

38、=-37.673270第40組數據 s=26.378240 x=15.708757,y=-47.575413;x1=10.703984,y1=-38.917916第41組數據 s=27.006173 x=12.566564,y=-49.145373;x1=8.642680,y1=-39.947376第42組數據 s=27.461958 x=9.233376,y=-50.340385;x1=6.409975,y1=-40.747241第43組數據 s=27.760320 x=5.761349,y=-51.153688;x1=4.017612,y1=-41.306893第44組數據 s=27.92

39、5112 x=2.201948,y=-51.594160;x1=1.476005,y1=-41.620545第45組數據 s=27.990141 x=-1.397906,y=-51.686950;x1=-1.207747,y1=-41.688758第46組數據 s=28.000000 x=-5.000000,y=-51.473389;x1=-4.033175,y1=-41.520236第47組數據 s=28.000000 x=-8.578422,y=-50.999220;x1=-6.919656,y1=-41.137755第48組數據 s=28.000000 x=-12.115052,y=-5

40、0.276588;x1=-9.772424,y1=-40.554855第49組數據 s=28.000000 x=-15.592657,y=-49.309014;x1=-12.577583,y1=-39.774375第50組數據 s=28.000000 x=-18.994297,y=-48.101211;x1=-15.321465,y1=-38.800119第51組數據 s=28.000000 x=-22.303399,y=-46.659063;x1=-17.990702,y1=-37.636833第52組數據 s=28.000000 x=-25.503841,y=-44.989598;x1=-

41、20.572290,y1=-36.290183第53組數據 s=28.000000 x=-28.580030,y=-43.100947;x1=-23.053652,y1=-34.766732第54組數據 s=28.000000 x=-31.516981,y=-41.002313;x1=-25.422699,y1=-33.073900第55組數據 s=28.000000 x=-34.300384,y=-38.703920;x1=-27.667890,y1=-31.219936第56組數據 s=28.000000 x=-36.916679,y=-36.216966;x1=-29.778285,y1

42、=-29.213872第57組數據 s=28.000000 x=-39.353120,y=-33.553566;x1=-31.743603,y1=-27.065480第58組數據 s=28.000000 x=-41.597836,y=-30.726696;x1=-33.554270,y1=-24.785228第59組數據 s=28.000000 x=-43.639892,y=-27.750129;x1=-35.201463,y1=-22.384225第60組數據 s=28.000000 x=-45.469338,y=-24.638366;x1=-36.677159,y1=-19.874168第

43、61組數據 s=28.000000 x=-47.077263,y=-21.406568;x1=-37.974167,y1=-17.267286第62組數據 s=28.000000 x=-48.455831,y=-18.070478;x1=-39.086169,y1=-14.576280第63組數據 s=28.000000 x=-49.598328,y=-14.646352;x1=-40.007747,y1=-11.814260第64組數據 s=28.000000 x=-50.499187,y=-11.150869;x1=-40.734411,y1=-8.994681第65組數據 s=28.00

44、0000 x=-51.154019,y=-7.601061;x1=-41.262621,y1=-6.131282第66組數據 s=28.000000 x=-51.559634,y=-4.014222;x1=-41.589804,y1=-3.238012第67組數據 s=28.000000 x=-51.714055,y=-0.407825;x1=-41.714366,y1=-0.328966第68組數據 s=28.000000 x=-51.616530,y=3.200559;x1=-41.635699,y1=2.581683第69組數據 s=27.965897 x=-51.233453,y=6.

45、792159;x1=-41.376364,y1=5.107582第70組數據 s=27.694066 x=-50.364513,y=10.321065;x1=-40.850805,y1=7.240582第71組數據 s=27.155697 x=-48.991675,y=13.715687;x1=-40.008452,y1=9.322318第72組數據 s=26.361266 x=-47.144744,y=16.907573;x1=-38.855049,y1=11.314634第73組數據 s=25.326238 x=-44.866118,y=19.835197;x1=-37.403903,y1=13.178220第74組數據 s=24.070757 x=-42.209132,y=22.446270;x1=-35.676949,y1=14.8745