凸轮机构大作业文档格式.docx
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凸轮机构大作业文档格式.docx
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28
10
30˚
70˚
0.3Rr
计算点数:
N=120
q1=60;
近休止角δ1
q2=120;
推程运动角δ2
q3=90;
远休止角δ3
q4=90;
回程运动角δ4
二、运动规律:
1.推程运动规律:
正弦加速度运动
2.回程运动规律:
等加速等减速运动:
(
)
3近休凸轮转角0°
-60°
,推程凸轮转角60°
-180°
,远休凸轮转角180°
-270°
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:
0o≤δ<
60o
XL=RLcos(
-
)YL=RLcos(
)
Xs=R0cos(
)YL=RLsin(
其中
=arctan
RL=R0+Rr
(2)推程阶段:
60o≤δ<
180o
XL=Rncos(
)YL=Rnsin(
(3)远休阶段:
180o≤δ<
270o
Rmax=最大的Rn
Xs=Rmax*cos(
)YL=Rmax*sin(
Xs=(Rmax-10)*cos(
)Ys=(Rmax-10)*cos(
(4)回程阶段:
270≤δ<
360
S=h-2h
S=2h(
三、压力角的求法
可由
+s
求出推程和回程各自的一组值,然后找出推程和回程里各自最大的压力角,然后与[
][
]相比较,若不小于[
]和[
]应该改变R0再重新求压力角直到满足条件为止,最后再求出相应的凸轮转角
。
三、程序框图
四计算源程序
1.r0=15;
e=5;
rr=10;
h=28;
r1=r0+rr;
a11=30*pi/180;
a22=70*pi/180;
pamin=0.3*rr;
x2=zeros(1,121);
y2=zeros(1,121);
xl=zeros(1,124);
yl=zeros(1,124);
xs=zeros(1,124);
ys=zeros(1,124);
rn=zeros(1,100);
a1=zeros(1,100);
sa=zeros(1,100);
aa1=zeros(1,31);
aa2=zeros(1,16);
rs=zeros(1,72);
s1=zeros(1,41);
s21=zeros(1,16);
s22=zeros(1,16);
al=zeros(1,16);
a2=zeros(1,41);
saa=zeros(1,100);
xss1=zeros(1,100);
yss1=zeros(1,100);
xss2=zeros(1,100);
yss2=zeros(1,100);
rs=zeros(1,121);
l=(r1^2-e^2)^0.5;
l
am=atan(l/e);
am
fork=1:
1000
r1=r0+rr;
l=(r1^2-e^2)^0.5;
am=atan(l/e);
a=[0:
3:
60]*pi/180;
fori=1:
21
xl(i)=r1*cos(am-a(i));
yl(i)=r1*sin(am-a(i));
xs(i)=r0*cos(am-a(i));
ys(i)=r0*sin(am-a(i));
rs(i)=r1;
end
a0=2/3*pi;
120]*pi/180;
a2=[60:
180]*pi/180;
41
s1(i)=h*(a(i)/a0-(sin(2*pi*a(i)/a0))/(2*pi));
sa(i)=h*(1/a0-2*pi/a0*cos(2*pi*a(i)/a0)/(2*pi));
saa(i)=2*pi/(a0*a0)*sin(2*pi*a(i)/a0);
rn(i)=((l+s1(i))^2+e^2)^(0.5);
a1(i)=acos(e/rn(i));
xl(i+21)=rn(i)*cos(a1(i)-a2(i));
yl(i+21)=rn(i)*sin(a1(i)-a2(i));
xs(i+21)=(rn(i)-rr)*cos(a1(i)-a2(i));
ys(i+21)=(rn(i)-rr)*sin(a1(i)-a2(i));
xss1(i)=sa(i)*sin(a(i))+(r0+s1(i))*cos(a(i));
yss1(i)=sa(i)*cos(a(i))-(r0+s1(i))*sin(a(i));
xss2(i)=saa(i)*sin(a(i))+sa(i)*cos(a(i))+sa(i)*cos(a(i))-(r0+s1(i))*sin(a(i));
yss2(i)=saa(i)*cos(a(i))-sin(a(i))*sa(i)-sa(i)*sin(a(i))-(r0+s1(i))*cos(a(i));
rs(i+20)=((xss1(i))^2+(yss1(i))^2)^(1.5)/((xss1(i)*yss2(i)-yss1(i)*xss2(i)));
ifi==41
re=rn(i);
ae=a1(i);
aa1(i)=atan((sa(i)-e)/(s1(i)+((r0^2)-e^2)^(0.5)));
sa;
re;
ae;
aa1;
aa1=abs(aa1)*180/pi;
ifaa1(i)<
=90
aa1(i)=aa1(i);
elseifaa1(i)>
=180&
aa1(i)<
=270
aa1(i)=aa1(i)-180;
elseifaa2(i)>
270
aa1(i)=360-aa1(i);
elseaa1(i)=180-aa1(i);
[aamaxt,t]=max(aa1);
aamaxt;
aam1=a2(t)*180/pi;
a=[180:
270]*pi/180;
31
xl(i+62)=re*cos(ae-a(i));
yl(i+62)=re*sin(ae-a(i));
xs(i+62)=(re-rr)*cos(ae-a(i));
ys(i+62)=(re-rr)*sin(ae-a(i));
rs(i+60)=re;
a0=0.5*pi;
45]*pi/180;
al=[270:
315]*pi/180;
16
s21(i)=h-2*h*a(i)*a(i)/(a0*a0);
sa(i)=-4*h*a(i)/((a0)^2);
saa(i)=-4*h/((a0)^2);
rn(i)=((l+s21(i))^2+e^2)^(0.5);
xl(i+93)=rn(i)*cos(a1(i)-al(i));
yl(i+93)=rn(i)*sin(a1(i)-al(i));
xs(i+93)=(rn(i)-rr)*cos(a1(i)-al(i));
ys(i+93)=(rn(i)-rr)*sin(a1(i)-al(i));
aa2(i)=atan((sa(i)-e)/(s21(i)+((r0^2)-e^2)^(0.5)));
xss1(i)=sa(i)*sin(a(i))+(r0+s21(i))*cos(a(i));
yss1(i)=sa(i)*cos(a(i))-(r0+s21(i))*sin(a(i));
xss2(i)=saa(i)*sin(a(i))+sa(i)*cos(a(i))+sa(i)*cos(a(i))-(r0+s21(i))*sin(a(i));
yss2(i)=saa(i)*cos(a(i))-sin(a(i))*sa(i)-sa(i)*sin(a(i))-(r0+s21(i))*cos(a(i));
rs(i+90)=((xss1(i))^2+(yss1(i))^2)^(1.5)/((xss1(i)*yss2(i)-yss1(i)*xss2(i)));
aa2;
aamaxh21=abs(aa2)*180/pi;
aa2=abs(aa2)*180/pi;
ifaa2(i)<
aa2(i)=aa2(i);
aa2(i)<
aa2(i)=aa2(i)-180;
aa2(i)=360-aa2(i)
elseaa2(i)=180-aa2(i);
[aamaxh21,t]=max(aa2);
aamaxh21;
aam21=al(t)*180/pi;
a=[45:
90]*pi/180;
al=[315:
360]*pi/180;
s22(i)=2*h*(a0-a(i))^2/((a0)^2);
sa(i)=4*h*(a0-a(i))/((a0)^2);
rn(i)=((l+s22(i))^2+e^2)^(0.5);
xl(i+108)=rn(i)*cos(a1(i)-al(i));
yl(i+108)=rn(i)*sin(a1(i)-al(i));
xs(i+108)=(rn(i)-rr)*cos(a1(i)-al(i));
ys(i+108)=(rn(i)-rr)*sin(a1(i)-al(i));
aa2(i)=atan((sa(i)-e)/(s22(i)+((r0^2)-e^2)^(0.5)));
xss1(i)=sa(i)*sin(a(i))+(r0+s22(i))*cos(a(i));
yss1(i)=sa(i)*cos(a(i))-(r0+s22(i))*sin(a(i));
xss2(i)=saa(i)*sin(a(i))+sa(i)*cos(a(i))+sa(i)*cos(a(i))-(r0+s22(i))*sin(a(i));
yss2(i)=saa(i)*cos(a(i))-sin(a(i))*sa(i)-sa(i)*sin(a(i))-(r0+s22(i))*cos(a(i));
rs(i+105)=((xss1(i))^2+(yss1(i))^2)^(1.5)/((xss1(i)*yss2(i)-yss1(i)*xss2(i)));
rs=abs(rs);
[rsmin,n]=min(rs);
pamin=rsmin-10;
aamaxh22=abs(aa2)*180/pi;
aa2(i)=360-aa2(i);
[aamaxh22,t]=max(aa2);
aamaxh22;
aam22=al(t)*180/pi;
ifaamaxt<
30&
aamaxh21<
70&
aamaxh22<
pamin>
=3
break;
elser0=r0+5;
end
end
aamaxt
aam1
aamaxh21
aamaxh22
aam21
aam22
rs
pamin
n
r0
xl
yl
xs
ys
fori=1:
121
x2(i)=r0*cos(a(i));
y2(i)=r0*sin(a(i));
figure
(1)
plot(xl,yl,'
--'
xs,ys,'
:
'
x2,y2,'
-'
xlabel('
x'
ylabel('
y'
title('
Í
¹
Â
Ö
µ
Ä
Ê
¼
Û
À
ª
º
í
figure
(2)
plot(rs)
2.凸轮理论轮廓的坐标值
xl=
Columns1through10
5.00007.33379.647311.934414.188816.404418.574920.694622.757524.7581
Columns11through20
26.690828.550430.331632.029833.640235.158336.580137.901639.119340.2297
Columns21through30
41.229841.229842.119542.909643.614644.249444.828645.365445.870946.3533
Columns31through40
46.817747.265047.692448.092748.454848.763949.001949.148149.180049.0740
Columns41through50
48.806348.354247.696446.814445.692744.320242.689840.799338.651336.2532
Columns51through60
33.617030.758727.697924.456821.060017.533113.901710.19136.42572.6264
Columns61through70
-1.1874-5.0000-5.0000-8.7991-12.5741-16.3146-20.0104-23.6513-27.2274-30.7289
Columns71through80
-34.1462-37.4698-40.6908-43.8002-46.7896-49.6508-52.3758-54.9573-57.3882-59.6617
Columns81through90
-61.7717-63.7125-65.4785-67.0652-68.4680-69.6831-70.7072-71.5375-72.1718-72.6082
Columns91through100
-72.8456-72.8834-72.7214-72.7214-72.2979-71.5528-70.4908-69.1189-67.4468-65.4867
Columns101through110
-63.2530-60.7626-58.0346-55.0899-51.9518-48.6451-45.1964-41.6338-37.9867-34.3691
Columns111through120
-30.8760-27.5080-24.2642-21.1417-18.1362-15.2418-12.4514-9.7566-7.1477-4.6143
Columns121through124
-2.14510.27192.64945.0000
yl=
Columns1through10
44.721444.398443.953743.388642.704541.903440.987539.959138.821337.5771
36.229834.783333.241431.608429.888828.087226.208724.258322.241520.1636
18.030618.030615.849313.631411.38639.12026.83544.53102.2029-0.1556
-2.5533-5.0000-7.5063-10.0823-12.7368-15.4768-18.3064-21.2265-24.2342-27.3223
-30.4797-33.6908-36.9362-40.1930-43.4351-46.6342-49.7608-52.7846-55.6754-58.4048
-60.9461-63.2757-65.3736-67.2239-68.8154-70.1416-71.2005-71.9951-72.5323-72.8228
-72.8805-72.7214-72.7214-72.3600-71.8003-71.0439-70.0927-68.9493-67.6170-66.0994
-64.4006-62.5253-60.4785-58.2661-55.8939-53.3685-50.6968-47.8862-44.9444-41.8793
-38.6995-35.4135-32.0306-28.5598-25.0107-21.3931-17.7169-13.9920-10.2289-6.4377
-2.62881.18725.00005.00008.795812.548016.227019.803423.248726.5352
29.636332.526535.181737.579739.699741.523143.033144.215445.057845.6432
46.073746.368146.543946.618446.607646.526646.389246.208045.994245.7574
45.506045.246544.983944.7214
3.实际论廓坐标值
xs=
3.88895.70407.50349.282311.035812.759014.447216.095817.700319.2563
20.759522.205823.591324.912126.164627.345428.451229.479030.426131.2898
32.067632.067632.760233.379033.938934.455334.942935.414935.882436.3534
36.832537.320537.814038.305538.783439.232539.634339.967740.209940.3368
40.324440.149439.790039.227138.444937.431336.178634.683732.948530.9794
28.787226.386823.796721.037918.133715.108011.98558.78975.54322.2660
-1.0245-4.3141-4.3141-7.5920-10.8491-14.0764-17.2652-20.4066-23.4922-26.5133
-29.4617-32.3295-35.1085-37.7914-40.3707-42.8393-45.1905-47.4179-49.5152-51.4769
-53.2974-54.9719-56.4957-57.8647-59.0750-60.1234-61.0071-61.7235-62.2707-62.6473
-62.8521-62.8847-62.7449-62.7449-62.3711-61.7031-60.7456-59.5057-57.9927-56.2186
-54.1977-51.9463-49.4832-46.8290-44.0062-41.0392-37.9541-34.7785-31.5
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