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1、1 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 2 （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 律； （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
2、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/m m 推杆行 程 h/mm 许用压力角许 用 最 小曲 率 半 径 amin 1 2 4-A 15 5 10 28 3070?0.3Rr 计算点数： N=90 q1=60; 近休止角 1 q2=180; 推程运动角 2 q3=90; 远休止角 3 q4=90; 回程运动角 4 二 推杆运动规律及凸轮廓线方程 推杆运动规律： （1）近休阶段： 0 o #include | | 1 开始 读入：r0， r0，rt，h 或（ ） ，e或（lAB、 lOA） ，
3、 ，N 计算：s0 I=1 计算：s，x，y，ds/d ，dx/d ，dy/d ，x ， 计算： r0= r0= 是回 程？ | |2 ？ 选出 1max及相应的凸轮转 选出2max及相应的凸轮转 计算： a11/QQ) break; else if(aA1) 7 A1=a; A2=Q; else if(Q=60 else /*远休阶段 */ if(aA1) A1=a; A2=Q; else if(Q=180 else if(aB1) B1=a; B2=Q; else if(Q=270 else if(aB1) B1=a; B2=Q; dx=(ds-e)*sin(Q/QQ)+(s0+s)*co
4、s(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); 9 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)
5、; 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); /*求理论轮廓曲率 半径*/ if(p0) paa=(fabs(p)-rr); if(paapa) break; else if(paaC1) C1=paa; C2=Q; Q=Q+4; if(i=91)break; for(j=0;j90;j+) printf(“第%d组数据 “,j+1); /*输出数据 */ printf(“s=%f “,szj); 10 printf(“x=%
6、f,y=%f;“,xzj,yzj); printf(“x1=%f,y1=%fn“,x1zj,y1zj); printf(“r0=%fn“,r0); printf(“推程最大压力角 (弧度)=%f, 相应凸轮转角 =%fn“,A1,A2-4); printf(“回程最大压力角 (弧度)=%f, 相应凸轮转角 =%fn“,B1,B2-4); printf(“最小曲率半径 =%f,相应凸轮转角 =%fn“,C1,C2-4); 2.matalab绘图 x=5.000000 6.625241 8.218205 9.771130 11.276451 12.726835 14.115215 15.43482
7、7 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 26.694836 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 21.22824
8、5 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 -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 -5
9、1.714055 -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 -0.241303 1.608997 3.340895 5.000000; y=23.473389 23.067427 22.549082 21.92
10、0881 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 0.957412 -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
11、.210697 -35.231149 -38.143149 -40.887607 -43.407693 -45.651627 -47.575413 11 -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
12、.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 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 2
13、3.473389; 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 13.316655 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 19.934
14、923 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 -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
15、 -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.
16、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 7.823697 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
17、 -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 -41.688758 12 -41.520236 -41.137755 -40.554855 -39.774375 -38.800119 -37.636833 -36.290183 -34.766732
18、 -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 5.107582 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.
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SX Y X1 Y1 1 0 0.000000 5.00000023.4733892
20、.91666713.692810 2 40.0000006.62524123.0674273.86472413.455999 3 80.0000008.21820522.5490824.79395313.153631 4 120.0000009.77113021.9208815.69982612.787181 5 160.00000011.27645121.1858836.57793012.358432 6 200.00000012.72683520.3476707.42398711.869474 7 240.00000014.11521519.4103258.23387511.322689
21、8 280.00000015.43482718.3784159.00364910.720742 9 320.00000016.67924217.2569679.72955810.066564 10 360.00000017.84239716.05144510.4080659.363343 11 40 0.00000018.91862614.76772111.0358658.614504 12 440.00000019.90268513.41205111.6099007.823697 13 480.00000020.78978111.99103912.1273726.994773 14 520.
22、00000021.57559010.51160812.5857616.131771 13 15 560.00000022.2562868.98096512.9828345.238896 16 600.00000022.8285517.40656813.3166554.320498 17 640.00985923.2984595.80040813.6371973.219708 18 680.074888 23.7066154.18542113.9899541.821843 19 720.239680 24.0975542.57245914.3852160.191177 20 760.538042
23、24.5077990.95741214.841722-1.605194 21 800.99382724.963745-0.67535115.369724-3.495769 22 841.62176025.480318-2.34945215.961917-5.415401 23 882.428271 26.060379-4.09299916.595549-7.320538 24 923.412322 26.694836-5.93525217.241474-9.196225 25 964.566240 27.363383-7.90354917.871626-11.051016 26 1005.87
24、654328.035800-10.02060118.461055-12.905780 27 1047.32477228.673715-12.30222818.986391-14.783306 28 1088.88832029.232729-14.75560119.423879-16.701480 29 11210.54126029.664801-17.37803119.748587-18.669812 30 11612.25517829.920768-20.15634319.934923-20.688633 31 12014.00000029.952907-23.06682219.958013
25、-22.747295 32 12415.744822 29.717406-26.07573319.795395-24.829259 33 12817.45874029.176650-29.14038919.428612-26.909752 34 13219.11168028.301221-32.21069718.844393-28.959788 35 13620.67522827.071507-35.231149 18.035244-30.947932 36 14022.12345725.478865-38.143149 16.999369-32.842380 37 14423.4337602
26、3.526246-40.88760715.739987-34.612723 38 148 24.58767821.228245-43.40769314.264216-36.231183 39 152 25.57172918.610551-45.65162712.581802-37.673270 40 156 26.378240 15.708757-47.57541310.703984-38.917916 41 160 27.00617312.566564-49.1453738.642680-39.947376 42 164 27.4619589.233376-50.3403856.409975
27、-40.747241 43 168 27.7603205.761349-51.1536884.017612-41.306893 44 172 27.9251122.201948-51.5941601.476005-41.620545 45 176 27.990141-1.397906-51.686950-1.207747-41.688758 46 180 28.000000-5.000000-51.473389-4.033175-41.520236 47 184 28.000000-8.578422-50.999220-6.919656-41.137755 48 188 28.000000-1
28、2.115052-50.276588-9.772424-40.554855 49 192 28.000000-15.592657-49.309014-12.577583-39.774375 50 196 28.000000-18.994297-48.101211-15.321465-38.800119 51 200 28.000000-22.303399-46.659063-17.990702-37.636833 52 204 28.000000-25.503841-44.989598-20.572290-36.290183 53 208 28.000000-28.580030-43.1009
29、47 -23.053652-34.766732 54 212 28.000000-31.516981-41.002313-25.422699-33.073900 55 216 28.000000-34.300384-38.703920-27.667890-31.219936 56 220 28.000000-36.916679-36.216966-29.778285-29.213872 57 224 28.000000-39.353120-33.553566-31.743603-27.065480 58 228 28.000000-41.597836-30.726696 -33.554270-
30、24.785228 14 运行结果截图： 59 232 28.000000-43.639892-27.750129-35.201463-22.384225 60 236 28.000000-45.469338-24.638366-36.677159-19.874168 61 240 28.000000-47.077263-21.406568-37.974167-17.267286 62 244 28.000000-48.455831-18.070478-39.086169-14.576280 63 248 28.000000-49.598328-14.646352-40.007747-11.8
31、14260 64 252 28.000000-50.499187-11.150869-40.734411-8.994681 65 256 28.000000-51.154019-7.601061-41.262621-6.131282 66 260 28.000000-51.559634-4.014222-41.589804 -3.238012 67 264 28.000000-51.714055-0.407825-41.714366-0.328966 68 268 28.000000-51.6165303.200559-41.6356992.581683 69 272 27.965897-51
32、.2334536.792159-41.3763645.107582 70 276 27.694066-50.36451310.321065-40.8508057.240582 71 280 27.155697-48.991675 13.715687-40.0084529.322318 72 284 26.361266-47.14474416.907573-38.85504911.314634 73 288 25.326238-44.86611819.835197-37.40390313.178220 74 292 24.070757-42.20913222.446270-35.67694914
33、.874574 75 296 22.619261 -39.23594424.699658-33.70497216.368490 76 300 21.000000-36.01508526.566822-31.52682717.630629 77 304 19.244492-32.61876428.032724-29.18772818.639749 78 308 17.386907-29.12004529.096164-26.73682419.384302 79 312 15.463398-25.59001929.769520-24.22431919.863216 80 316 13.511407
34、-22.09509930.077928-21.698402 20.085799 81 320 11.568926-18.69454430.057908-19.20219920.070803 82 324 9.673762-15.43832229.755535-16.770908 19.844722 83 328 7.862804-12.36541229.224195-14.42919519.439472 84 332 6.171299-9.50260028.522064-12.18886618.88962 85 336 4.632172-6.86383427.709391-10.0467841
35、8.22947 86 340 3.275378-4.45015426.845720-7.98298917.490557 87 344 2.127327-2.25020525.987174-5.95930516.700486 88 348 1.210364 -0.24130325.183912-3.91961515.884986 89 352 0.5423361.60899724.477872-1.79546315.075231 90 356 0.1362473.34089523.9009070.47598914.320076 15 六 凸轮机构图（廓线） 16 七 心得体会 通过对凸轮机构的编
36、程设计： （1） 熟悉了推杆的运动规律特别是余弦加速度运动规律和五次多项式运动规律； （2）掌握了已知推杆运动规律用解析法对凸轮轮廓曲线的进行设计的方法以及 设计时应该注意的各个性能要求； （3）加深了 C语言的熟悉与应用。 通过这次大作业， 我熟悉了程序开发的过程， 提高了自己的编程能力， 对课 本上的知识有了更深的理解。 课本上的知识是机械的， 表面的。 通过编程解决实 际的困难，在实际中建立数学模型， 把原来以为很深奥的书本知识变的更为简单， 对原理有更深的理解。 八 参考书 孙恒，葛文杰，陈作模，机械原理【M】7 版，北京：高等教育出版社2006 陈作模，机械原理学习指南【M】5 版，高等教育出版社，2007 谭浩强， C 语言程序设计（第三版），清华大学出版社，2009