机械原理大作业2凸轮机构大作业.docx
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机械原理大作业2凸轮机构大作业
大作业
(二)
凸轮机构设计
(题号:
_________)
班级:
________________________
学号:
姓名:
同组其他人员:
完成日期:
凸轮机构大作业题目
1、题目及原始数据;
2、推杆的运动规律及凸轮廓线方程;
3、计算程序框图
4、计算程序;
5、计算结果及分析;
6、凸轮机构图(包括推杆及凸轮理论和实际廓线,并标出有关尺寸及计算结果
7、体会及建议
8、参考书
利用计算机辅助设计完成下列偏置式直动滚子推杆盘形凸轮机构(推杆的移动副导路位于凸轮盘回转中心的右侧)或摆动滚子推杆盘形凸轮机构的设计,设计已知数据如下表所示,机构中凸轮沿着逆时针方向做匀速转动。
表1两种凸轮机构的从动件运动规律
直动推杆组题号
推程运动规律
回程运动规律
5-B
等加速等减速运动
五次多项式运动
表2两种凸轮机构的推杆在近休、推程、远休及回程阶段的凸轮转角
题号
近休凸轮转角
推程凸轮转角
远休凸轮转角
回程凸轮转角
B
0゜~45゜
45゜~225゜
225゜~270゜
270゜~360゜
表3偏置直动滚子推杆盘形凸轮机构的已知参数
初选基圆半径r0/mm
偏距e/mm
滚子半径rt/mm
推杆行程h/mm
许用压力角
许用最小曲率半径[ρamin]
[α1]
[α2]
20
+10
15
35
30゜
75゜
0.3rt
要求:
每两人一组,每组中至少打印出一份源程序。
每人都要打印:
原始数据;凸轮理论轮廓曲线和实际轮廓曲线的坐标值;推程和回程的最大压力角,以及出现最大压力角时凸轮相应的转角,凸轮实际轮廓曲线的最小曲率半径,以及相应的凸轮转角;凸轮的基圆半径。
整个设计过程所选取的计算点数N=72~120。
利用计算机绘出凸轮的理论轮廓曲线和实际轮廓曲线。
二、推杆运动规律及凸轮轮廓方程
推程:
等加速
远休:
等减速
回程:
五次多项式整理得;
理论轮廓廓线方程
工作廓线方程
实际廓线方程
三、计算程序框图
四、计算程序
#include
#definePI3.141592653
doublefact[72][2];
doubletheory[72][2];
intang1=180,ang2=225,ang3=315;
doubleh=35,rb=20,b=1;
doubleA1=30*PI/180,A2=75*PI/180;
doubleP=18.2,e=10;
doubleSo,r=15;
doubleS(intI)
{
doubles;
doubleA;
doubleB;
if(I<=ang1/2)
A=I*PI/180;
B=ang1*PI/180;
s=2*h*pow(A/B,2);
}
elseif((I>ang1/2)&&(I<=ang1))
s=h-2*h*pow((B-A)/B,2);
elseif(I<=ang2)s=h;
elseif(I<=ang3)
A=(I-ang2)*PI/180;
B=(ang3-ang2)*PI/180;
s=h*(1-10*pow(A/B,3)+15*pow(A/B,4)-6*pow(A/B,5));
elses=0;
return(s);
doubleds(intQ)
doubleA,B,C;
if(Q<=ang1/2)
A=Q*PI/180;
C=4*h*A/(B*B);
elseif((Q>ang1/2)&&(Q<=ang1))
C=4*h*(B-A)/(B*B);
elseif(Q<=ang2)C=0;
elseif(Q<=ang3)
A=(Q-ang2)*PI/180;
C=h*(-30*A*A/pow(B,3)+60*pow(A,3)/pow(B,4)-30*pow(A,4)/pow(B,5));
elseC=0;
returnC;
doubledss(intB3)
if(B3<=ang1/2)
A=B3*PI/180;
C=ang1*PI/180;
B=4*h/(C*C);
elseif(B3>ang1/2&&B3<=ang1)
B=-4*h/(C*C);
elseif(B3<=ang2)B=0;
elseif(B3<=ang3)
A=(B3-ang2)*PI/180;
C=(ang3-ang2)*PI/180;
B=h*(-60*A/pow(C,3)+240*A*A/pow(C,4)-120*A*A*A/pow(C,5));
elseB=0;
return(B);
voidxy(intang)
doubleA,B,C,E,F,dx,dy;
A=ang*PI/180;
B=S(ang);
C=ds(ang);
dx=(So+B)*cos(A)+sin(A)*C-e*sin(A);
dy=-sin(A)*(So+B)+C*cos(A)-e*cos(A);
E=r*dy/sqrt(dx*dx+dy*dy);
F=r*dx/sqrt(dx*dx+dy*dy);
theory[ang/5][0]=(So+B)*sin(A)+e*cos(A);
theory[ang/5][1]=(So+B)*cos(A)-e*sin(A);
fact[ang/5][0]=theory[ang/5][0]-E;
fact[ang/5][1]=theory[ang/5][1]+F;
doublea(intB1)/*****求解压力角****/
doubleA,B;
A=sqrt((ds(B1)-e)*(ds(B1)-e));
B=S(B1);
returnatan(A/(B+So));
doublep(intB2)
doubledx,dy,dxx,dyy;
doubleA,B,C,D,E;
A=B2*PI/180;
B=ds(B2);
C=S(B2);
D=dss(B2);
dx=(So+C)*cos(A)+sin(A)*B-e*sin(A);
dy=-sin(A)*(So+C)+B*cos(A)-e*cos(A);
dxx=-(C+So)*sin(A)+cos(A)*B+D*sin(A)-e*cos(A);
dyy=-cos(A)*(So+C)-B*sin(A)+D*cos(A)-sin(A)*B+e*sin(A);
E=sqrt(pow(dx*dx+dy*dy,3))/sqrt(pow((dx*dyy-dxx*dy),2));
return(E);
voidmain()
{FILE*fp;
inti;
intk,h,l;
doubleangle1max=0,angle2max=0,pmin=1000;
if((fp=fopen("sanying","w"))==NULL)
printf("Cann'topenthisfile.\n");
exit(0);
fprintf(fp,"\nTheKinematicParametersofPoint4\n");
fprintf(fp,"xyx'y'");
//计算数据并写入文件
for(;i!
=360;)
rb=rb+b;
So=sqrt(rb*rb-e*e);
for(i=0;i<=ang1;i=i+5)
if(a(i)>A1||p(i)
break;
if(ang1+5-i)continue;
for(i=ang1+5;i<=ang2;i=i+5)
if(p(i)
if(ang2+5-i)continue;
for(i=ang2+5;i<=ang3;i=i+5)
if(a(i)>A2||p(i)
if(ang3+5-i)continue;
for(i=ang3+5;i<360;i=i+5)
for(i=0;i<360;i=i+5)
xy(i);
if(angle1max{angle1max=a(i);k=i;}if(pmin>p(i)){pmin=p(i);h=i;}}for(i=ang2;i<=ang3;i=i+5){if(angle2max{angle2max=a(i);l=i;}if(pmin>p(i)){pmin=p(i);h=i;}}for(i=0;i<72;i++){fprintf(fp,"\n");{fprintf(fp,"%12.3f\t%12.3f\t%12.3f\t%12.3f\t",theory[i][0],theory[i][1],fact[i][0],fact[i][1]);}}fclose(fp);printf("理论坐标(x,y)");printf("实际坐标(x,y)");printf("\n");for(i=0;i<72;i++){printf("%f",theory[i][0]);printf("");printf("%f",theory[i][1]);printf("");printf("%f",fact[i][0]);printf("");printf("%f",fact[i][1]);printf("\n");}printf("基圆半径是:%f\n",rb);printf("推程最大压力角是:%f\n",angle1max*180/PI);printf("此时角度是是:%d\n",k);printf("回程最大压力角是:%f\n",angle2max*180/PI);printf("此时角度是是:%d\n",l);printf("最小曲率半径是:%f\n",pmin);printf("此时角度是:%d\n",h);}五、计算结果及分析理论坐标x理论坐标y实际坐标x实际坐标y10.000000115.56816211.293103130.51232120.039083114.31063922.471855129.11204629.953795112.28870733.510983126.86081839.696314109.51162944.356597123.76932049.219138105.99042754.955228119.85034458.474959101.73793865.253713115.11883867.41655796.76890275.199098109.59200975.99672591.10010384.738564103.28945384.16820984.75052793.81938796.23333091.88369177.741555102.38893288.44855899.09581070.097185110.39469879.963042105.75722361.844259117.78439870.807912111.82071753.012716124.50610461.017774117.23936343.635834130.50843250.630961121.96673133.750482135.74079239.689778125.95714423.397353140.15368328.240731129.16599812.621184143.69904916.334732131.5501161.470946146.3306834.027279133.068162-10.000000148.004678-8.621416133.573478-21.724363148.573242-21.808621132.927116-33.592903147.847706-35.134332131.110804-45.483796145.811871-48.463499128.119609-57.273502142.463995-61.659683123.962059-68.838237137.816884-74.586611118.660100-80.055446131.897811-87.109735112.248890-90.805265124.748264-99.097770104.776442-100.971946116.423537-110.42420596.303108-110.445244106.992155-120.96875486.900923-119.12172596.535156-130.61874876.652799-126.90601085.145215-139.27043065.651605-133.71191572.925643-146.83016053.999112-139.46348559.989261-153.21550741.804845-144.09591246.457159-158.35620529.184835-147.55631932.457365-162.19498516.260293-149.80440818.123425-164.6882493.156226-150.8129553.592926-165.806597-10.000000-150.568162-10.994037-165.535189-23.084827-149.123647-25.379543-163.947084-35.993964-146.544211-39.571896-161.111243-48.629166-142.849486-53.463083-157.049248-60.894270-138.067589-66.947384-151.792013-72.695933-132.234915-79.922175-145.379550-83.944335-125.395853-92.288709-137.860660-94.553870-117.602453-103.952871-129.292568-104.443793-108.914028-114.825889-119.740481-113.538836-99.396700-124.825012-109.277097-121.727552-89.087472-133.938976-97.798450-128.743333-77.939306-141.897783-85.147665-134.320004-66.002685-148.296955-71.447391-138.263460-53.439531-152.846268-56.952612-140.469540-40.484954-155.392740-42.000903-140.930485-27.409448-155.923766-26.960506-139.731023-14.484083-154.553686-12.184372-137.035532-1.950857-151.4989942.025104-133.06816210.000000-147.04718715.439380-128.08806221.244452-141.52279127.915887-122.36209131.730004-135.25256139.400453-116.13746341.471701-128.53101449.921547-109.61679950.539030-121.58764459.577772-102.93796259.034539-114.55843768.519504-96.16081367.065477-107.46611876.923981-89.26278174.710218-100.21389484.960735-82.14469981.981660-92.59336692.743879-74.64796388.790099-84.300717100.271577-66.62533894.958224-75.240684107.237305-58.095654100.403660-65.608023113.386892-49.123827105.084964-55.476046118.673537-39.778138108.966507-44.921863123.057004-30.129713112.018750-34.025797126.503933-20.251983114.218463-22.870774128.988091-10.220123115.548903-11.541691130.490572-0.110482115.999947-0.124769130.999941分析基圆半径是:116.000000推程最大压力角是:5.273246此时角度是是:90回程最大压力角是:21.408137此时角度是是:275最小曲率半径是:18.384284此时角度是:315 (六)心得体会在解决大作业过程中不仅仅让自己更熟悉课本知识同时使得自己重温C语言让自己更加熟练与程序的设计,提高了自己的逻辑运用能力,这种对运行的机构的认识,我相信对以后的理论知识求解也有帮助。对于下一次的工程设计也充满了信心。通过对凸轮机构的编程设计:(1)、熟悉了推杆的运动规律特别是等加速等减速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;(八)、参考书《机械原理》第七版高等教育出版社
angle1max=a(i);
k=i;
if(pmin>p(i))
pmin=p(i);
h=i;
for(i=ang2;i<=ang3;i=i+5)
if(angle2max{angle2max=a(i);l=i;}if(pmin>p(i)){pmin=p(i);h=i;}}for(i=0;i<72;i++){fprintf(fp,"\n");{fprintf(fp,"%12.3f\t%12.3f\t%12.3f\t%12.3f\t",theory[i][0],theory[i][1],fact[i][0],fact[i][1]);}}fclose(fp);printf("理论坐标(x,y)");printf("实际坐标(x,y)");printf("\n");for(i=0;i<72;i++){printf("%f",theory[i][0]);printf("");printf("%f",theory[i][1]);printf("");printf("%f",fact[i][0]);printf("");printf("%f",fact[i][1]);printf("\n");}printf("基圆半径是:%f\n",rb);printf("推程最大压力角是:%f\n",angle1max*180/PI);printf("此时角度是是:%d\n",k);printf("回程最大压力角是:%f\n",angle2max*180/PI);printf("此时角度是是:%d\n",l);printf("最小曲率半径是:%f\n",pmin);printf("此时角度是:%d\n",h);}五、计算结果及分析理论坐标x理论坐标y实际坐标x实际坐标y10.000000115.56816211.293103130.51232120.039083114.31063922.471855129.11204629.953795112.28870733.510983126.86081839.696314109.51162944.356597123.76932049.219138105.99042754.955228119.85034458.474959101.73793865.253713115.11883867.41655796.76890275.199098109.59200975.99672591.10010384.738564103.28945384.16820984.75052793.81938796.23333091.88369177.741555102.38893288.44855899.09581070.097185110.39469879.963042105.75722361.844259117.78439870.807912111.82071753.012716124.50610461.017774117.23936343.635834130.50843250.630961121.96673133.750482135.74079239.689778125.95714423.397353140.15368328.240731129.16599812.621184143.69904916.334732131.5501161.470946146.3306834.027279133.068162-10.000000148.004678-8.621416133.573478-21.724363148.573242-21.808621132.927116-33.592903147.847706-35.134332131.110804-45.483796145.811871-48.463499128.119609-57.273502142.463995-61.659683123.962059-68.838237137.816884-74.586611118.660100-80.055446131.897811-87.109735112.248890-90.805265124.748264-99.097770104.776442-100.971946116.423537-110.42420596.303108-110.445244106.992155-120.96875486.900923-119.12172596.535156-130.61874876.652799-126.90601085.145215-139.27043065.651605-133.71191572.925643-146.83016053.999112-139.46348559.989261-153.21550741.804845-144.09591246.457159-158.35620529.184835-147.55631932.457365-162.19498516.260293-149.80440818.123425-164.6882493.156226-150.8129553.592926-165.806597-10.000000-150.568162-10.994037-165.535189-23.084827-149.123647-25.379543-163.947084-35.993964-146.544211-39.571896-161.111243-48.629166-142.849486-53.463083-157.049248-60.894270-138.067589-66.947384-151.792013-72.695933-132.234915-79.922175-145.379550-83.944335-125.395853-92.288709-137.860660-94.553870-117.602453-103.952871-129.292568-104.443793-108.914028-114.825889-119.740481-113.538836-99.396700-124.825012-109.277097-121.727552-89.087472-133.938976-97.798450-128.743333-77.939306-141.897783-85.147665-134.320004-66.002685-148.296955-71.447391-138.263460-53.439531-152.846268-56.952612-140.469540-40.484954-155.392740-42.000903-140.930485-27.409448-155.923766-26.960506-139.731023-14.484083-154.553686-12.184372-137.035532-1.950857-151.4989942.025104-133.06816210.000000-147.04718715.439380-128.08806221.244452-141.52279127.915887-122.36209131.730004-135.25256139.400453-116.13746341.471701-128.53101449.921547-109.61679950.539030-121.58764459.577772-102.93796259.034539-114.55843768.519504-96.16081367.065477-107.46611876.923981-89.26278174.710218-100.21389484.960735-82.14469981.981660-92.59336692.743879-74.64796388.790099-84.300717100.271577-66.62533894.958224-75.240684107.237305-58.095654100.403660-65.608023113.386892-49.123827105.084964-55.476046118.673537-39.778138108.966507-44.921863123.057004-30.129713112.018750-34.025797126.503933-20.251983114.218463-22.870774128.988091-10.220123115.548903-11.541691130.490572-0.110482115.999947-0.124769130.999941分析基圆半径是:116.000000推程最大压力角是:5.273246此时角度是是:90回程最大压力角是:21.408137此时角度是是:275最小曲率半径是:18.384284此时角度是:315 (六)心得体会在解决大作业过程中不仅仅让自己更熟悉课本知识同时使得自己重温C语言让自己更加熟练与程序的设计,提高了自己的逻辑运用能力,这种对运行的机构的认识,我相信对以后的理论知识求解也有帮助。对于下一次的工程设计也充满了信心。通过对凸轮机构的编程设计:(1)、熟悉了推杆的运动规律特别是等加速等减速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;(八)、参考书《机械原理》第七版高等教育出版社
angle2max=a(i);
l=i;
for(i=0;i<72;i++)
fprintf(fp,"\n");
fprintf(fp,"%12.3f\t%12.3f\t%12.3f\t%12.3f\t",theory[i][0],theory[i][1],fact[i][0],fact[i][1]);
fclose(fp);
printf("理论坐标(x,y)");printf("实际坐标(x,y)");printf("\n");
printf("%f",theory[i][0]);
printf("");
printf("%f",theory[i][1]);
printf("%f",fact[i][0]);
printf("%f",fact[i][1]);
printf("\n");
printf("基圆半径是:
%f\n",rb);
printf("推程最大压力角是:
%f\n",angle1max*180/PI);
printf("此时角度是是:
%d\n",k);
printf("回程最大压力角是:
%f\n",angle2max*180/PI);
%d\n",l);
printf("最小曲率半径是:
%f\n",pmin);
printf("此时角度是:
%d\n",h);
五、计算结果及分析
理论坐标x
理论坐标y
实际坐标x
实际坐标y
10.000000
115.568162
11.293103
130.512321
20.039083
114.310639
22.471855
129.112046
29.953795
112.288707
33.510983
126.860818
39.696314
109.511629
44.356597
123.769320
49.219138
105.990427
54.955228
119.850344
58.474959
101.737938
65.253713
115.118838
67.416557
96.768902
75.199098
109.592009
75.996725
91.100103
84.738564
103.289453
84.168209
84.750527
93.819387
96.233330
91.883691
77.741555
102.388932
88.448558
99.095810
70.097185
110.394698
79.963042
105.757223
61.844259
117.784398
70.807912
111.820717
53.012716
124.506104
61.017774
117.239363
43.635834
130.508432
50.630961
121.966731
33.750482
135.740792
39.689778
125.957144
23.397353
140.153683
28.240731
129.165998
12.621184
143.699049
16.334732
131.550116
1.470946
146.330683
4.027279
133.068162
-10.000000
148.004678
-8.621416
133.573478
-21.724363
148.573242
-21.808621
132.927116
-33.592903
147.847706
-35.134332
131.110804
-45.483796
145.811871
-48.463499
128.119609
-57.273502
142.463995
-61.659683
123.962059
-68.838237
137.816884
-74.586611
118.660100
-80.055446
131.897811
-87.109735
112.248890
-90.805265
124.748264
-99.097770
104.776442
-100.971946
116.423537
-110.424205
96.303108
-110.445244
106.992155
-120.968754
86.900923
-119.121725
96.535156
-130.618748
76.652799
-126.906010
85.145215
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65.651605
-133.711915
72.925643
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53.999112
-139.463485
59.989261
-153.215507
41.804845
-144.095912
46.457159
-158.356205
29.184835
-147.556319
32.457365
-162.194985
16.260293
-149.804408
18.123425
-164.688249
3.156226
-150.812955
3.592926
-165.806597
-150.568162
-10.994037
-165.535189
-23.084827
-149.123647
-25.379543
-163.947084
-35.993964
-146.544211
-39.571896
-161.111243
-48.629166
-142.849486
-53.463083
-157.049248
-60.894270
-138.067589
-66.947384
-151.792013
-72.695933
-132.234915
-79.922175
-145.379550
-83.944335
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-92.288709
-137.860660
-94.553870
-117.602453
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-99.396700
-124.825012
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-121.727552
-89.087472
-133.938976
-97.798450
-128.743333
-77.939306
-141.897783
-85.147665
-134.320004
-66.002685
-148.296955
-71.447391
-138.263460
-53.439531
-152.846268
-56.952612
-140.469540
-40.484954
-155.392740
-42.000903
-140.930485
-27.409448
-155.923766
-26.960506
-139.731023
-14.484083
-154.553686
-12.184372
-137.035532
-1.950857
-151.498994
2.025104
-133.068162
-147.047187
15.439380
-128.088062
21.244452
-141.522791
27.915887
-122.362091
31.730004
-135.252561
39.400453
-116.137463
41.471701
-128.531014
49.921547
-109.616799
50.539030
-121.587644
59.577772
-102.937962
59.034539
-114.558437
68.519504
-96.160813
67.065477
-107.466118
76.923981
-89.262781
74.710218
-100.213894
84.960735
-82.144699
81.981660
-92.593366
92.743879
-74.647963
88.790099
-84.300717
100.271577
-66.625338
94.958224
-75.240684
107.237305
-58.095654
100.403660
-65.608023
113.386892
-49.123827
105.084964
-55.476046
118.673537
-39.778138
108.966507
-44.921863
123.057004
-30.129713
112.018750
-34.025797
126.503933
-20.251983
114.218463
-22.870774
128.988091
-10.220123
115.548903
-11.541691
130.490572
-0.110482
115.999947
-0.124769
130.999941
分析
基圆半径是:
116.000000
推程最大压力角是:
5.273246此时角度是是:
90
回程最大压力角是:
21.408137此时角度是是:
275
最小曲率半径是:
18.384284此时角度是:
315
(六)心得体会
在解决大作业过程中不仅仅让自己更熟悉课本知识同时使得自己重温C语言让自己更加熟练与程序的设计,提高了自己的逻辑运用能力,这种对运行的机构的认识,我相信对以后的理论知识求解也有帮助。
对于下一次的工程设计也充满了信心。
通过对凸轮机构的编程设计:
(1)、熟悉了推杆的运动规律特别是等加速等减速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;
(八)、参考书
《机械原理》第七版高等教育出版社
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