凸輪機構大作業-西工大機械原理要點

大作業（二）凸輪機構設計（題號：4-A）（一）題目及原始數據 （二）推桿運動規律及凸輪廓線方程 （三）程序框圖 （四）計算程序 （五）程序計算結果及分析（六）凸輪機構圖????（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）推程運動規律為五次多項式運動規律，回程運動規律為余弦加速度運動規建；（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[pamin][a1][a2]4-A155102830°700.3Rr計算點數：N=90q1=60; 近休止角5 1q2=180; 推程運動角52q3=90; 遠休止角5 3二整桿運動規程律及凸I輪廓線方程推桿運動規律：（1）近休階段：0o<6<60os=0；ds/db=0;d2s/d52=0；(2)推程階段：60o<6<180o五次多項式運動規律：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)遠休階段：180oWb<270os=h=24;ds/db=0;d2s/d52=0;(4)回程階段：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);凸輪廓線方程：(1)理論廓線方程：s0=sqrt(r02-e2)x=(s0+s)sinb+ecosby=(s0+s)cosb-esinb⑵實際廓線方程先求x，y的一、二階導數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)最后求實際廓線方程x1=x-rr*cos0;y1=y-rr*sin0;三程序框圖include<stdio.h> #incl打黑：axh.冷x，y''Pamin，3amin，%max，31max，a2max，32max，r0， 3， s結束5voidmain(){doubler0,or,rr,h,e,q1,q2,q3,q4,a,a11,a22,Q,pi,pa,paa,QQ,A1,A2,B1,B2,C1,C2;/*定義變量*/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; /*給已知量賦值*/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;)else(if(a>A1)A1=a;A2=Q;))elseif(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*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{ /*遠休階段*/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-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);半徑*/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組數據",j+1);/*求理論輪廓曲率/*/*求理論輪廓曲率/*輸出數據*/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(〃推程最大壓力角(弧度)=%f,相應凸輪轉角=%￡\/"1,八2-4);printf(〃回程最大壓力角(弧度)=%f,相應凸輪轉角=%￡\/21^2-4);printf(〃最小曲率半徑=%f,相應凸輪轉角=%￡\口〃工1工2-4);)2.matalab繪圖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')：五程序計算結果及分析基圓半徑r0=24.000000推程最大壓力角（弧度）=0.513512,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序號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運行結果截圖:141F:\l\Debug\l.exe第5組數據第6組數裾第7組數裾第81F:\l\Debug\l.exe第5組數據第6組數裾第7組數裾第8組數裾第9組數裾第巡且數據第U組數據第12組數據第13組數據第14組數據第15組數據第16組數據第17組數據第18組數據第心組數據第加組數據第21組數據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