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旧 2012-04-07, 16:43   #1
liang1207
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注册日期: 2007-08-30
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liang1207 正向着好的方向发展
默认 程序改错

在MATLAB中输入niehe(1,31,91)然后回车就可以看到效果了。四个文件必须在同一文件夹。
niehe.mfunction [ output_args ] =niehe( m,z1,z2 )
%UNTITLED1 Summary of this function goes here
% Detailed explanation goes here
hold on
axis equal
grid on

[x1 y1]=chilunlunkuo2(m,z1);
[x2 y2]=chilunlunkuo2(m,z2);
d=m*(z1+z2)/2;

r1=m*z1/2;
r2=m*z2/2;
rb1=r1*cos(pi/9);
rb2=r2*cos(pi/9);
xq1=-rb1*sin(pi/9);
yq1=rb1*cos(pi/9);
xq2=rb2*sin(pi/9);
yq2=d-rb2*cos(pi/9);
xq=[xq1 xq2];
yq=[yq1 yq2];
xxq=[-xq1 -xq2];
yyq=[yq1 yq2];
axis([-4*m 4*m r1-4*m r1+4*m]);

first =0;
last = 2*pi;
n=100;
distant=(last-first)/n;
sita=first:distant:last;
rb1x=r1.*cos(sita);
rb1y=r1.*sin(sita);
rb2x=r2.*cos(sita);
rb2y=r2.*sin(sita)+d;
% plot(rb1x,rb1y,'k-');
% plot(rb2x,rb2y,'k-');
ds1=pi/2/z1;
%ds1=0;
xx1=x1*cos(ds1)-y1*sin(ds1);
yy1=x1*sin(ds1)+y1*cos(ds1);

ds2=pi-3*pi/2/z2;
xx2=x2*cos(ds2)-y2*sin(ds2);
yy2=x2*sin(ds2)+y2*cos(ds2)+d;
plot(xx1,yy1,'k');
plot(xx2,yy2,'r');
plot(xxq,yyq,'b-');
pause(5);
n=0;
while n<2000
hold off;
si1=ds1+0.001*n;
xx1=x1*cos(si1)-y1*sin(si1);
yy1=x1*sin(si1)+y1*cos(si1);
si2=ds2-0.001*n*(z1/z2);
xx2=x2*cos(si2)-y2*sin(si2);
yy2=x2*sin(si2)+y2*cos(si2)+d;

plot(xq,yq,'b-');
hold on;
plot(xxq,yyq,'b-');
plot(xx1,yy1,'k');

plot(xx2,yy2,'r');
axis([-4*m 4*m r1-4*m r1+4*m]);

grid on
pause(0.01);
n=n+1;
end


chikuoqizhi.mfunction [ jfirstsita jlastsita gfirstsita glastsita] = chikuoqizhi( m,z )
%UNTITLED1 Summary of this function goes here
% Detailed explanation goes here [ jfirstsita jlastsita gfirstsita
% glastsita] = chikuoqizhi( m,z ),该函数返回齿轮轮廓渐开线段和过渡线段参数方程中参数的起止值
r = m*z/2;
ra = r + m;
rf = r - 1.25*m;
rb = r * cos(pi/9);
precise = 1e-7;
%%%%%%%%%%渐开线最上面的点
start = -1.5*pi/z;
last = 3*pi/z;
theone = start;
[x,y] = jiankaixian2(m,z,theone,0);
t = (x^2+y^2)^0.5 -ra;
count = 0;
count1 = 0;
count2 = 0;
while abs(t) > precise && count < 100000
if t > 0
start = theone;
theone = (theone + last)/2;
count1 = count1+1;
end
if t < 0
last = theone;
theone = (theone + start)/2;
count2 = count2+1;
end
count = count +1;
[x,y] = jiankaixian2(m,z,theone,0);
t = (x^2+y^2)^0.5 -ra;
end
jfirstsita = theone;
%%%%%%%%过渡线最下面的点

start = -1.5*pi/z;
last = 3*pi/z;
dd = 10;
ddo =0;
count = 0;
while dd > precise && count < 10000
count = count+1;
s1 =start*2/3+last/3;
s2 =start/3+last*2/3;
[x1 y1]=guoduquxian2(m,z,s1);
[x2 y2]=guoduquxian2(m,z,s2);
d1 = (x1^2+y1^2)^0.5;
d2 = (x2^2+y2^2)^0.5;
if d1>d2
start = s1;
dd = (d2-rf);
end
if d1<=d2
last = s2;
dd = (d1-rf);
end
dd =abs(dd);
if abs(ddo-dd)<1e-8
break;
end
ddo = dd;
end
gfirstsita = (s1+s2)/2;

% theone = start;
% ydao = gydao(m,z,theone);
%
% while abs(ydao) > precise && count < 10000
% if ydao < 0
% start = theone;
% theone = (theone + last)/2;
% count1 = count1+1;
% end
% if ydao > 0
% last = theone;
% theone = (theone + start)/2;
% count2 = count2+1;
% end
% count = count +1;
% ydao = gydao(m,z,theone);
% end

%gfirstsita = theone
%%%%%%%渐开线与过渡线的交点
start = -1.5*pi/z;
last = 3*pi/z;
theone = start;
[gx,gy] = guoduquxian2(m,z,theone);
[jx,jy] = jiankaixian2(m,z,theone,0);
t = gy-jy;

while abs(t) > precise && count < 10000
if t < 0
start = theone;
theone = (theone + last)/2;
count1 = count1+1;
end
if t > 0
last = theone;
theone = (theone + start)/2;
count2 = count2+1;
end
count = count +1;
[gx,gy] = guoduquxian2(m,z,theone);
[jx,jy] = jiankaixian2(m,z,theone,0);
t = gy-jy;
end

jlastsita = theone;
glastsita = theone;






chilunlunkuo2.m
function [ x2 y2] = chilunlunkuo2( m,z )

[ jfirstsita jlastsita gfirstsita glastsita] = chikuoqizhi( m,z );
first =jfirstsita;
last = jlastsita;
n = 100;
distant = (last - first)/n;
sita = first:distant:last;
r = m*z/2;
ra = r + m;
rf = r-1.25*m;
% grid on
% axis equal
% hold on
%渐开线段点坐标值%%%%%%%%%%%%%%%%%
xm = pi*m/4;
ym = r;

x = ((cos(sita)+tan(pi/9).*sin(sita)).*(xm-r.*sita+ym*tan(pi/9))+(sin(sita)-tan(pi/9).*cos(sita)).*r)/((tan(pi/9))^2+1);
y = ((cos(sita)+tan(pi/9).*sin(sita)).*r-(sin(sita)-tan(pi/9).*cos(sita)).*(xm-r.*sita+ym*tan(pi/9)))/((tan(pi/9))^2+1);
% plot(x,y,'m');
% plot(-x,y,'m');
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%过渡线段点坐标值%%%%%%%%%%%%%%%%%%%%%%%%%
first =gfirstsita;
last = glastsita;

distant = (last - first)/n;
sita = first:distant:last;
R = 0.38*m;
a = pi*m/4+m*tan(pi/9)+0.38*m*cos(pi/9);
b = R*sin(pi/9)+r-m;



l1 = b.*sin(sita)+(a-r.*sita).*cos(sita);
l2 = (r-b).*cos(sita)+(a-r.*sita).*sin(sita);
l3 = b.*cos(sita)-(a-r.*sita).*sin(sita);
l4 = (r-b).*sin(sita)-(a-r.*sita).*cos(sita);

%yg = l3 - R.*((l2.*l2).^0.5)./((l2.^2+l4.^2).^0.5);
%xg = l1 - R.*((l4.*l4).^0.5)./((l2.^2+l4.^2).^0.5);
xg = l1 - R.*(l4)./((l2.^2+l4.^2).^0.5);
yg = l3 - R.*(l2)./((l2.^2+l4.^2).^0.5);
%%%%%%%%%%%%%%%%%%%%%


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%渐开线与过渡线的准确点%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%绘过渡线与渐开线



% plot(xg,yg,'k');
% plot(-xg,yg,'k');

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%齿顶圆与基圆%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
n2=20;
ra = r + m;
first = atan(y(1)/x(1));
last = pi-atan(y(1)/x(1));
distant = (last - first)/n2;
t = first:distant:last;
raxx = ra.*cos(pi-t);
rayy = ra.*sin(t);

last = pi-atan(yg(1)/xg(1))-2*pi/z;
first= atan(yg(1)/xg(1));
distant = (last - first)/n2;
t = first:distant:last;
rfxx = rf.*cos(t);
rfyy = rf.*sin(t);
% plot(raxx,rayy,'g');
% plot(rfxx,rfyy,'g-');
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
i=1;
xgg=xg;
ygg=yg;

xx=x;
yy=y;
while i<n+2
xgg(n+2-i)=xg(i);
ygg(n+2-i)=yg(i);
xx(n+2-i) =-x(i);
yy(n+2-i) = y(i);
i = i+1;
end

x1 = [-xg xx raxx x xgg rfxx];
y1 = [yg yy rayy y ygg rfyy];
%plot(x1,y1,'k');
%%%%
x1(n*4+4+n2*2+2)=x1(n*4+4+n2*2+1);
y1(n*4+4+n2*2+2)=y1(n*4+4+n2*2+1);
xt=x1;
yt=y1;
i= 1;
xi = -2*pi/z;
while(i<z)
xix = xi*i;
i = i+1;
x2=x1*cos(xix)-y1*sin(xix);
y2=x1*sin(xix)+y1*cos(xix);
xt=[xt x2];
yt=[yt y2];

end
%%%%
x2=xt;
y2=yt;

%%%%%%%%文件输出%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%k = indexge - indexgs;
%fid = fopen('test.txt','wt');
%for i = 1:j
% chikuox(i) = xx(i);
% chikuoy(i) = yy(i);
% fprintf(fid,'%f %f\n',xx(i),yy(i));
%end
%for i = 0:k-1
% chikuox(i+j+1) = xxg(k-i);
% chikuoy(i+j+1) = yyg(k-i);
% fprintf(fid,'%f %f\n',xxg(k-i),yyg(k-i));
%end
%fclose(fid);


guoduquxian2.m
function [x,y] = guoduquxian2(m,z,sita)
r = m*z/2;
ra = r + m;
rf = r-1.25*m;
%过度线段点坐标值%%%%%%%%%%%%%%%%%
R = 0.38*m;
a = pi*m/4+m*tan(pi/9)+0.38*m*cos(pi/9);
b = R*sin(pi/9)+r-m;



jiankaixian2.m
function [x,y] = jiankaixian2(m,z,sita,n);

r = m*z/2;
ra = r + m;
rf = r-1.25*m;
%grid on
%axis equal
%hold on
%渐开线段点坐标值%%%%%%%%%%%%%%%%%
xm = pi*m/4;
ym = r;

x1 = ((cos(sita)+tan(pi/9)*sin(sita))*(xm-r*sita+ym*tan(pi/9))+(sin(sita)-tan(pi/9)*cos(sita))*r)/((tan(pi/9))^2+1);
y1 = ((cos(sita)+tan(pi/9)*sin(sita))*r-(sin(sita)-tan(pi/9)*cos(sita))*(xm-r*sita+ym*tan(pi/9)))/((tan(pi/9))^2+1);
result = R(2*n*pi/z)*[x1;y1;1];
x = result(1,1);
y = result(2,1);


l1 = b*sin(sita)+(a-r*sita)*cos(sita);
l2 = (r-b)*cos(sita)+(a-r*sita)*sin(sita);
l3 = b*cos(sita)-(a-r*sita)*sin(sita);
l4 = (r-b)*sin(sita)-(a-r*sita)*cos(sita);

y = l3 - R*((l2))/((l2^2+l4^2)^0.5);
x = l1 - R*((l4))/((l2^2+l4^2)^0.5);
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