凸轮机构大作业-西工大机械原理要点

大作业（二）凸轮机构设计（题号：4-A）（一）题目及原始数据 （二）推杆运动规律及凸轮廓线方程 （三）程序框图 （四）计算程序 （五）程序计算结果及分析（六）凸轮机构图••••（七）心得体会 （八）参考书 一题目及原始数据试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（1）推程运动规律为五次多项式运动规律，回程运动规律为余弦加速度运动规建；（2）打印出原始数据；（3）打印出理论轮廓和实际轮廓的坐标值；（4）打印出推程和回程的最大压力角，以及出现最大压力角时凸轮的相应转角；（5）打印出凸轮实际轮廓曲线的最小曲率半径，以及相应的凸轮转角；（6）打印最后所确定的凸轮的基圆半径。表一偏置直动滚子推杆盘形凸轮机构的已知参数题号初选的基圆半径R0/mm偏距E/mm滚子半径Rr/mm推杆行程h/mm许用压力角许用最小曲率半径[pamin][a1][a2]4-A155102830°700.3Rr计算点数：N=90q1=60; 近休止角5 1q2=180; 推程运动角52q3=90; 远休止角5 3二整杆运动规程律及凸I轮廓线方程推杆运动规律：（1）近休阶段：0o<6<60os=0；ds/db=0;d2s/d52=0；(2)推程阶段：60o<6<180o五次多项式运动规律：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/db=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);d2s/d52=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));(3)远休阶段：180oWb<270os=h=24;ds/db=0;d2s/d52=0;(4)回程阶段：270Wb<360Q2=Q-270;s=h*(1+cos(2*Q2/QQ))/2;ds/db=-h*sin(2*Q2/QQ);d2s/d52=-2*h*cos(2*Q2/QQ);凸轮廓线方程：(1)理论廓线方程：s0=sqrt(r02-e2)x=(s0+s)sinb+ecosby=(s0+s)cosb-esinb⑵实际廓线方程先求x，y的一、二阶导数dx=(ds/db-e)*sin(b)+(s0+s)*cos(b);dy=(ds/db-e)*cos(6)-(s0+s)*sin(6);dxx=dss*sin(6)+(ds/db-e)*cos(6)+ds/db*cos(6)-(s0+s)*sin(6);dyy=dss*cos(6)-(ds/db-e)*sin(6)-ds/db*sin(6)-(s0+s)*cos(6);x1=x-rr*coso;y1=y-rr*sino;再求sin0,cos0sin0=x'/sqrt((x′)2+(y’)2)cos0=-y'/sqrt((x,)2+(y')2)最后求实际廓线方程x1=x-rr*cos0;y1=y-rr*sin0;三程序框图include<stdio.h> #incl打黑：axh.冷x，y''Pamin，3amin，%max，31max，a2max，32max，r0， 3， s结束5voidmain(){doubler0,or,rr,h,e,q1,q2,q3,q4,a,a11,a22,Q,pi,pa,paa,QQ,A1,A2,B1,B2,C1,C2;/*定义变量*/doublexz[90],yz[90],sz[90],x1z[90],y1z[90],Q1,Q2;doubles0,s,x,y,y1,x1,dx,dxx,dy,dyy,ds,dss,sino,coso,p;intN,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; /*给已知量赋值*/N=90;A1=0;B1=0;C1=1000;for(;;){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){ /*近休阶段*/s=0;ds=0;dss=0;a=atan(e/sqrt(r0*r0-e*e)); /*求压力角*/if(a>a11/QQ){break;)else(if(a>A1)A1=a;A2=Q;))elseif(Q>=60&&Q<180){ /*五次多项式运动*/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=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{ /*远休阶段*/if(a>A1)A1=a;A2=Q;))elseif(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;)else(if(a>B1)B1=a;B2=Q;))elseif(Q>=270&&Q<360){ /*余弦加速度运动*/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-e)/(sqrt(r0*r0-e*e)+s));if(a>a22/QQ){break;)else(if(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));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;sz[j]=s;yz[j]=y;xz[j]=x;x1z[j]=x1;y1z[j]=y1;p=pow(dx*dx+dy*dy,1.5)/(dx*dyy-dy*dxx);半径*/if(p<0){paa=(fabs(p)-rr);if(paa<pa){break;}else(if(paa<C1)C1=paa;C2=Q;}}Q=Q+4;}if(i==91){break;}}for(j=0;j<90;j++){printf(〃第％d组数据",j+1);/*求理论轮廓曲率/*/*求理论轮廓曲率/*输出数据*/printf("x=%f,y=%f;",xz[j],yz[j]);printf("x1=%f,y1=%f\n”,x1z[j],y1z[j]);)printf("r0=%f\n”,r0);printf(〃推程最大压力角(弧度)=%f,相应凸轮转角=%£\/"1,八2-4);printf(〃回程最大压力角(弧度)=%f,相应凸轮转角=%£\/21^2-4);printf(〃最小曲率半径=%f,相应凸轮转角=%£\口〃工1工2-4);)2.matalab绘图x=[5.0000006.6252418.2182059.77113011.27645112.72683514.11521515.434827 16.679242 17.842397 18.918626 19.902685 20.789781 21.57559022.256286 22.828551 23.298459 23.706615 24.097554 24.507799 24.96374525.480318 26.060379 26.694836 27.363383 28.035800 28.673715 29.23272929.664801 29.920768 29.952907 29.717406 29.176650 28.301221 27.07150725.478865 23.526246 21.228245 18.610551 15.708757 12.566564 9.2333765.7613492.201948-1.397906-5.000000-8.578422-12.115052-15.592657-18.994297-22.303399-25.503841-28.580030-31.516981-34.300384-36.916679-39.353120-41.597836-43.639892-45.469338-47.077263-48.455831-49.598328-50.499187-51.154019-51.559634-51.714055-51.616530-51.233453-50.364513-48.991675-47.144744-44.866118-42.209132-39.235944-36.015085-32.618764-29.120045-25.590019-22.095099-18.694544-15.438322-12.365412-9.502600-6.863834-4.450154-2.250205-0.2413031.6089973.3408955.000000];y=[23.47338923.06742722.54908221.92088121.18588320.34767019.41032518.37841517.25696716.05144514.76772113.41205111.99103910.5116088.9809657.4065685.8004084.1854212.5724590.957412-0.675351-2.349452-4.092999-5.935252-7.903549-10.020601-12.302228-14.755601-17.378031-20.156343-23.066822-26.075733-29.140389-32.210697-35.231149-38.143149-40.887607-43.407693-45.651627-47.57541310-49.145373-50.340385-51.153688-51.594160-51.686950-51.473389-50.999220-50.276588-49.309014-48.101211-46.659063-44.989598-43.100947-41.002313-38.703920-36.216966-33.553566-30.726696-27.750129-24.638366-21.406568-18.070478-14.646352-11.150869-7.601061-4.014222-0.4078253.2005596.79215910.32106513.71568716.90757319.83519722.44627024.69965826.56682228.03272429.09616429.76952030.07792830.05790829.75553529.22419528.52206427.70939126.84572025.98717425.18391224.47787223.90090723.473389];x1=[2.9166673.8647244.7939535.6998266.5779307.4239878.2338759.0036499.72955810.40806511.03586511.60990012.12737212.58576112.982834 13.316655 13.637197 13.989954 14.385216 14.841722 15.36972415.961917 16.595549 17.241474 17.871626 18.461055 18.986391 19.42387919.748587 19.934923 19.958013 19.795395 19.428612 18.844393 18.03524416.999369 15.739987 14.264216 12.581802 10.703984 8.6426806.4099754.0176121.476005-1.207747-4.033175-6.919656-9.772424-12.577583-15.321465-17.990702-20.572290-23.053652-25.422699-27.667890-29.778285-31.743603-33.554270-35.201463-36.677159-37.974167-39.086169-40.007747-40.734411-41.262621-41.589804-41.714366-41.635699-41.376364-40.850805-40.008452-38.855049-37.403903-35.676949-33.704972-31.526827-29.187728-26.736824-24.224319-21.698402-19.202199-16.770908-14.429195-12.188866-10.046784-7.982989-5.959305-3.919615-1.7954630.4759892.916667];y1=[13.69281013.45599913.15363112.78718112.35843211.86947411.32268910.72074210.0665649.3633438.6145047.8236976.9947736.1317715.2388964.3204983.2197081.8218430.191177-1.605194-3.495769-5.415401-7.320538-9.196225-11.051016-12.905780-14.783306-16.701480-18.669812-20.688233-22.747295-24.829259-26.909752-28.959788-30.947932-32.842380-34.612723-36.231183-37.673270-38.917916-39.947376-40.747241-41.306893-41.620545-41.68875811-41.520236-41.137755-40.554855-39.774375-38.800119-37.636833-36.290183-34.766732-33.073900-31.219936-29.213872-27.065480-24.785228-22.384225-19.874168-17.267286-14.576280-11.814260-8.994681-6.131282-3.238012-0.3289662.5816835.1075827.2405829.32231811.31463413.17822014.87457416.36849017.63062918.63974919.38430219.86321620.08579920.07080319.84472219.43947218.88962018.22947317.49055716.70048615.88498615.07523114.32007613.692810];plot(x1,y1,x,y,'r')：五程序计算结果及分析基圆半径r0=24.000000推程最大压力角（弧度）=0.513512,相应凸轮转角=172.000000回程最大压力角（弧度）=0.766377,相应凸轮转角=352.000000最小曲率半径=14.000000,相应凸轮转角=340.000000序号6SXYX1Y1100.0000005.00000023.4733892.91666713.692810240.0000006.62524123.0674273.86472413.455999380.0000008.21820522.5490824.79395313.1536314120.0000009.77113021.9208815.69982612.7871815160.00000011.27645121.1858836.57793012.3584326200.00000012.72683520.3476707.42398711.8694747240.00000014,11521519.4103258.23387511.3226898280.00000015.43482718.3784159.00364910,7207429320.00000016.67924217.2569679.72955810.06656410360.00000017.84239716.05144510.4080659.36334311400.00000018.91862614.76772111.0358658.61450412440.00000019.90268513.41205111.6099007.82369713480.00000020.78978111.99103912,1273726.99477314520.00000021.57559010.51160812.5857616.13177112

15560.00000022.2562868.98096512.9828345.23889616600.00000022.8285517.40656813.3166554.32049817640.00985923.2984595.80040813.6371973.21970818680.07488823.7066154.18542113.9899541.82184319720.23968024.0975542.57245914.3852160.19117720760.53804224.5077990.95741214.841722-1.60519421800.99382724.963745-0.67535115.369724-3.49576922841.62176025.480318-2.34945215.961917-5.41540123882.42827126.060379-4.09299916.595549-7.32053824923.41232226.694836-5.93525217.241474-9.19622525964.56624027.363383-7.90354917.871626-11.051016261005.87654328.035800-10.02060118.461055-12.905780271047.32477228.673715-12.30222818.986391-14.783306281088.88832029.232729-14.75560119.423879-16.7014802911210.54126029.664801-17.37803119.748587-18.6698123011612.25517829.920768-20.15634319.934923-20.6886333112014.00000029.952907-23.06682219.958013-22.7472953212415.74482229.717406-26.07573319.795395-24.8292593312817.45874029.176650-29.14038919.428612-26.9097523413219.11168028.301221-32.21069718.844393-28.9597883513620.67522827.071507-35.23114918.035244-30.9479323614022.12345725.478865-38.14314916.999369-32.8423803714423.43376023.526246-40.88760715.739987-34.6127233814824.58767821.228245-43.40769314.264216-36.2311833915225.57172918.610551-45.65162712.581802-37.6732704015626.37824015.708757-47.57541310.703984-38.9179164116027.00617312.566564-49.1453738.642680-39.9473764216427.4619589.233376-50.3403856.409975-40.7472414316827.7603205.761349-51.1536884.017612-41.3068934417227.9251122.201948-51.5941601.476005-41.6205454517627.990141-1.397906-51.686950-1.207747-41.6887584618028.000000-5.000000-51.473389-4.033175-41.5202364718428.000000-8.578422-50.999220-6.919656-41.1377554818828.000000-12.115052-50.276588-9.772424-40.5548554919228.000000-15.592657-49.309014-12.577583-39.7743755019628.000000-18.994297-48.101211-15.321465-38.8001195120028.000000-22.303399-46.659063-17.990702-37.6368335220428.000000-25.503841-44.989598-20.572290-36.2901835320828.000000-28.580030-43.100947-23.053652-34.7667325421228.000000-31.516981-41.002313-25.422699-33.0739005521628.000000-34.300384-38.703920-27.667890-31.2199365622028.000000-36.916679-36.216966-29.778285-29.2138725722428.000000-39.353120-33.553566-31.743603-27.0654805822828.000000-41.597836-30.726696-33.554270-24.78522813

5923228.000000-43.639892-27.750129-35.201463-22.3842256023628.000000-45.469338-24.638366-36.677159-19.8741686124028.000000-47.077263-21.406568-37.974167-17.2672866224428.000000-48.455831-18.070478-39.086169-14.5762806324828.000000-49.598328-14.646352-40.007747-11.8142606425228.000000-50.499187-11.150869-40.734411-8.9946816525628.000000-51.154019-7.601061-41.262621-6.1312826626028.000000-51.559634-4.014222-41.589804-3.2380126726428.000000-51.714055-0.407825-41.714366-0.3289666826828.000000-51.6165303.200559-41.6356992.5816836927227.965897-51.2334536.792159-41.3763645.1075827027627.694066-50.36451310.321065-40.8508057.2405827128027.155697-48.99167513.715687-40.0084529.3223187228426.361266-47.14474416.907573-38.85504911.3146347328825.326238-44.86611819.835197-37.40390313.1782207429224.070757-42.20913222.446270-35.67694914.8745747529622.619261-39.23594424.699658-33.70497216.3684907630021.000000-36.01508526.566822-31.52682717.6306297730419.244492-32.61876428.032724-29.18772818.6397497830817.386907-29.12004529.096164-26.73682419.3843027931215.463398-25.59001929.769520-24.22431919.8632168031613.511407-22.09509930.077928-21.69840220.0857998132011.568926-18.69454430.057908-19.20219920.070803823249.673762-15.43832229.755535-16.77090819.844722833287.862804-12.36541229.224195-14.42919519.439472843326.171299-9.50260028.522064-12.18886618.88962853364.632172-6.86383427.709391-10.04678418.22947863403.275378-4.45015426.845720-7.98298917.490557873442.127327-2.25020525.987174-5.95930516.700486883481.210364-0.24130325.183912-3.91961515.884986893520.5423361.60899724.477872-1.79546315.075231903560.1362473.34089523.9009070.47598914.320076运行结果截图:141F:\l\Debug\l.exe第5组数据第6组数裾第7组数裾第81F:\l\Debug\l.exe第5组数据第6组数裾第7组数裾第8组数裾第9组数裾第巡且数据第U组数据第12组数据第13组数据第14组数据第15组数据第16组数据第17组数据第18组数据第心组数据第加组数据第21组数据3=0.000000S=0.000000S=0.000000S=0.000000S=0.000000S=0.000000S=0.000000S=0.000000S=0.000000S=0.000000S=0.000000S=0.000000S=0.009859s=0.074888s=0.239680s=0.538042s=0.993827x=ll.276451,y=21.185883；xl=6.577930,yl=12.358432x=12.726835,y=20.347670；xl=7.423987,yl=11.869474x=14.115215,y=19.410325；xl=8.233875,yl=11.322689x=15.434827,y=18.378415；xl=9.003649,yl=10.720742x=16.679242,y=17.256967；xl=9.729558,yl=10.066564x=17.842397,y=16.051445；xl=10.408065,yl=9.363343x=18.918626,y=14.767721；xl=11.035865,yl=8.614504x=19.902685,y=13.412051；xl=11.609900,yl=7.823697x=2B.789781,y=ll.991039；xl=12.127372,yl=6.994773x=21.575590,y=10.511608；xl=12.585761,yl=6.131771x=22.256286,y=8.980965；xl=12.982834,yl=5.238896x=22.828551,y=7.406568；xl=13.316655,yl=4.320498x