>>
a='((y-640)/(x-700)-(y-730)/(x-670))/(1+(y-730)/(x-670)*(y-640)/(x-700))-3^(1/2)=0';
>> b='(x-700)^2+(y-640)^2-100=0'; >> s=solve(a,b) s =
x: [2x1 sym] y: [2x1 sym]
>> double(s.x(1))
ans =
709.9391
>> double(s.x(2))
ans =
690.4269
>> double(s.y(1))
ans =
638.8979
>> double(s.y(2)) ans =
642.8908
模型二圆心坐标计算: a='y+x-290=0';
>> b='sqrt((x-80)^2+(y-210)^2)-10=0'; >> s=solve(a,b) s =
x: [2x1 sym]
37
y: [2x1 sym]
>> double(s.x(1))
ans =
72.9289
>> double(s.x(2))
ans =
87.0711
>> double(s.y(1))
ans =
217.0711
>> double(s.y(2))
ans =
202.9289
模型二建立:
syms x1 x2 x3 y1 y2 y3 a b c d a1 b1 c1 d1 r v0 v >> a=sqrt((x2-x1)^2+(y2-y1)^2); >> b=sqrt((x3-x2)^2+(y3-y2)^2); >> c=sqrt((x3-x1)^2+(y3-y1)^2); >> c1=acos((a^2+b^2-c^2)/(2*a*b)); >> a1=acos(r/a); >> b1=acos(r/b);
>> d1=2*pi-a1-b1-c1; >> d=r*d1;
>> v=v0/(1+exp(10-0.1*r^2));
>> t=sqrt(a^2-r^2)/v0+sqrt(b^2-r^2)/v0+r*d1/v
模型二代入已知数求解
syms x1 x2 x3 y1 y2 y3 a b c d a1 b1 c1 d1 r v0 v >> a=sqrt((x2-x1)^2+(y2-y1)^2);
38
>> b=sqrt((x3-x2)^2+(y3-y2)^2); >> c=sqrt((x3-x1)^2+(y3-y1)^2); >> c1=acos((a^2+b^2-c^2)/(2*a*b)); >> a1=acos(r/a); >> b1=acos(r/b);
>> d1=2*pi-a1-b1-c1; >> d=r*d1;
>> v=v0/(1+exp(10-0.1*r^2));
>> t=sqrt(a^2-r^2)/v0+sqrt(b^2-r^2)/v0+r*d1/v t =
(x2^2-2*x2*x1+x1^2+y2^2-2*y2*y1+y1^2-r^2)^(1/2)/v0+(x3^2-2*x3*x2+x2^2+y3^2-2*y3*y2+y2^2-r^2)^(1/2)/v0+r*(2*pi-acos(r/(x2^2-2*x2*x1+x1^2+y2^2-2*y2*y1+y1^2)^(1/2))-acos(r/(x3^2-2*x3*x2+x2^2+y3^2-2*y3*y2+y2^2)^(1/2))-acos(1/2*(2*x2^2-2*x2*x1+2*y2^2-2*y2*y1-2*x3*x2-2*y3*y2+2*x3*x1+2*y3*y1)/(x2^2-2*x2*x1+x1^2+y2^2-2*y2*y1+y1^2)^(1/2)/(x3^2-2*x3*x2+x2^2+y3^2-2*y3*y2+y2^2)^(1/2)))/v0*(1+exp(10-1/10*r^2))
>> x1=0;y1=0;x2=80;y2=210;x3=300;y3=300;v0=5; >>
x1=0;x2=0;x2=87.0711;y2=202.9289;x3=300;y3=300;v0=5;r=20;(x2^2-2*x2*x1+x1^2+y2^2-2*y2*y1+y1^2-r^2)^(1/2)/v0+(x3^2-2*x3*x2+x2^2+y3^2-2*y3*y2+y2^2-r^2)^(1/2)/v0+r*(2*pi-acos(r/(x2^2-2*x2*x1+x1^2+y2^2-2*y2*y1+y1^2)^(1/2))-acos(r/(x3^2-2*x3*x2+x2^2+y3^2-2*y3*y2+y2^2)^(1/2))-acos(1/2*(2*x2^2-2*x2*x1+2*y2^2-2*y2*y1-2*x3*x2-2*y3*y2+2*x3*x1+2*y3*y1)/(x2^2-2*x2*x1+x1^2+y2^2-2*y2*y1+y1^2)^(1/2)/(x3^2-2*x3*x2+x2^2+y3^2-2*y3*y2+y2^2)^(1/2)))/v0*(1+exp(10-1/10*r^2))
ans =
94.2697
39
相关推荐: