机械原理课程设计 偏置直动滚子推杆盘形凸轮.docx

1、机械原理课程设计 偏置直动滚子推杆盘形凸轮凸轮大作业选题：凸轮5-C一：题目及原始数据：利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，已知数据如下所示，凸轮沿逆时针方向做匀速运动。具体要求如下：1.推程运动规律为等加速等减速运动，回程运动规律为五次多项式运动；2.近休凸轮转角为0-30；推程凸轮转角30-210；远休凸轮转角210-280；回程凸轮转角280-360。3.初选基圆半径为22mm；4.偏距为+14mm5.滚子半径为18mm6.推杆行程为35mm7.许用压力角为1=35，2=65。8.最小曲率半径为0.35rr9.计算点数取120.二：推杆运动规律及凸轮轮廓线方程1.推

2、程加速阶段：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/pi2; 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.推程减速阶段：s11=3

3、5-70.*(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)/pi2; 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); x10

4、1=x11-18*j11; y101=y11-18*i11;3.远休阶段：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.回程阶段：a30=33

5、*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+s

6、3).*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.近休阶段：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+

7、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计算程序e=14;r0=22s0=sqrt(r02-e2);c111=1;c3=1; for(i=1:0.1:200) %由压力角条件循环求合适基圆半径 if (c11135/180)&(c365/180) %判断条件 else a1=0:pi/60:pi/2; % 推程加速阶段 s1=70.*a1.*a1/pi/pi; x1=(s0+s1).*s

8、in(a1)+e*cos(a1); y1=(s0+s1).*cos(a1)-e*sin(a1); k1=140*a1/pi2; % 对s1求导 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; % 推程减速阶段 s11=35-70.*(pi-a1

9、1).*(pi-a11)/pi/pi; x11=(s0+s11).*sin(a11)+e*cos(a11); y11=(s0+s11).*cos(a11)-e*sin(a11); k11=140.*(pi-a1)/pi2; 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

10、; y101=y11-18*i11; a2=pi:pi/60:25*pi/18; %凸轮远休阶段 s2=35; %推杆行程 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; y

11、20=y2-18*i2; a3=25*pi/18:pi/60:33*pi/18; %推杆回程阶段 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.

12、*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; %推杆近休阶段 s4=0; x4=(s0+s4).*sin(a4)+e*cos(a4); y4=(s0+s4).*cos(a

13、4)-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

14、*,x3,y3,-b*,x4,y4,-k*) %凸轮轮廓曲线绘制title(凸轮轮廓曲线绘制);xlabel(Variable X); %X轴ylabel(Variable Y); %Y轴text(-250,-200,工作廓线) %文字标注text(100,-100,理论廓线); grid on %加网格axis equal %坐标相等 a1=0:pi/60:pi/2; %压力角计算force1=abs(atan(k1).*(s0+s1).-1); c1=max(force1); a11=pi/2:pi/60:pi; force11=abs(atan(k11).*(s0+s11).-1);c1

15、1=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; %每循环一次基圆半径+1 s0=sqrt(r02-e2); end end %求

16、最大压力角位置 c111 c3 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+250 vv=i1./j1;vv1=diff(vv);vv2=diff(vv,2);vv22=0,vv2;p=(1+vv1.2).(3/2)./vv

17、22;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

18、;vv1=diff(vv);vv2=diff(vv,2);vv22=0,vv2;p=(1+vv1.2).(3/2)./vv22;g4=min(p) ) ro=sqrt(s02+e2) %求合适基圆半径x1y1x11y11x2y2x3y3x4y4x10y10x101y101x20y20x30y30x40y40force1force11force2force3force4c111c3jiaodu11jiaodu3四：计算结果及分析：（1）工作廓线坐标：1;推程加速阶段X坐标14 24.9479312972938 35.8335795427018 46.6331664128873 57.323071

19、6171326 67.8798591305935 78.2803034241300 88.5014157831108 98.5204708048515 108.315033160764 117.862984704875 127.142552005136 136.132*6 144.811332419744 153.158*5 161.155*0 168.780264525614 176.015193958402 182.841407726263 189.240951783976 195.196492695966 200.691351943287 205.709540955551 210.235

20、796832989 214.255618712129 217.755304716715 220.721989423648 223.143681761924 225.009303250807 226.308726472013 227.0328136593412推程加速阶段Y坐标 209.532813659341 208.532370629552 206.998924199561 204.935879972465 202.347567871334 199.239236813805 195.617049448531 191.488076931747 186.860293712014 181.7425

21、72281261 176.144677840557 .0772* 163.551861181761 156.580882432274 149.177*6 141.356170650697 133.131*3 124.519659744732 115.537106908501 106.201424932735 96.5309400655771 86.5447839816669 76.2628805759777 65.7059313702786 54.8953994088027 .853* 32.6031388287473 21.1679753867867 9.57231483194954 -2.

22、158*948 -14.00000000000003推程减速阶段X坐标227.032813659341 227.134*6 226.568905051752 225.331644205755 223.421214513810 220.838411540547 217.586454974950 213.670985176905 209.100050353069 203.884084407342 .0358* 191.570525763878 184.505401336072 176.860074548737 168.656256843411 159.917723656843 150.670231

23、233150 140.941425726738 130.760744942876 120.159*3 109.169828954466 97.8264479001947 86.1646581868564 74.2211520380855 62.0336919788640 49.6409729459048 37.0824807009210 24.3983470898675 11.6292027035831 -1.183*846 -14.00000000000004推程减速阶段Y坐标-14.0000000000000 -25.9228338599749 -37.8904674143353 -49.

24、8635381159681 -61.8024134893063 -73.6673405558026 -85.4185959941913 -97.0166364509177 -108.422248415730 -119.596697079292 -130.501873593764 -141.100440163605 -151.355972402351 -161.233098401750 -170.697633972432 -179.716713530067 -188.258916117849 -196.294386074865 -203.794947880574 -210.73421472804

25、4.0876* -222.832864069368 -227.949297596606 -232.418705078147 -236.225024238547 -239.354479443456 -241.795636066125 -243.539445995213 -244.579284102998 -244.910975527746 -244.5328136593415远休阶段X坐标-14.0000000000000 -26.7786721222032 -39.4839457654822 -52.0809966579133 -64.5352971586108 -76.81271089559

26、02 -88.8795863311907 -100.702848998602 -112.250092156677 -123.489665614559 -134.390762482652 -144.923503612169 -155.059019491793 -164.769529377011.028* -182.810305697758.0911* -198.848174053764 -206.060195464824 -212.707420203182 -218.771628687875 -224.236199344965 -229.086154166116 -233.30819976228

27、26远休阶段Y坐标-244.532813659341 -243.464986549453 -241.729838834477 -239.332126433691 -236.278421310122 -232.577093457254 -228.238287957455 -223.273897175014 -217.697528159994 -211.524465352257 -204.771628687875 -197.457527222762 -189.602208400634 -181.227203104369 -172.355466641343 -163.011315824535 -15

28、3.220362321829 -143.009442456216 -132.406543649295 -121.440727709697 -110.142051176688 -98.5414829372844 -86.6708193426842 -74.56259705668027减速阶段X坐标-234.573962542258 -237.924423961410 -240.528414701632 -242.301034179885 -243.179109387654 -243.122053300159 -242.111828793401 -240.152*3 -237.2666572969

29、52 -233.497236106624 -228.900808808014 -223.546496133102 -217.512199933386 -210.881086014932 -203.738039329490 -196.166*2 -188.243792502170.0410* -171.618025436311.022* -154.287835944964 -145.434490148429 -136.467891333878 -127.380539946257 -118.153*9 -108.759487623767 -99.16559150875688减速阶段Y坐标-70.4

30、794512845940 -58.1011116825609 -45.5418784536957 -32.8365161989020 -20.0390090002643 -7.21694579130250 5.55380225566372 18.1940030755600 30.6254874984057 42.7749931638176 54.5773610652433 65.9780327038145 76.9348117792082 87.4188705720677 97.4149974868349 106.921098432862 115.946980634777 124.512462892978 132.644871079527 140.375991577690 147.738568287212 15