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wcnmaz

гæ (СÓÐÃûÆø)

[½»Á÷] MATLAB7.0³ö´íÁË£¿ ÒÑÓÐ2È˲ÎÓë

y(i,6)=-178075801.6*y(i,4)*y(i,5)+490910.1296*y(i,3)*y(i,2)+1128974.05+7481.104004*sin(2.047t);
ΪʲôMATLAB7.0³ÌÐòÔËÐе½ÉÏÃæÒ»Ðгö´íÁË£¿¸Ð¾õҲûʲô´íÎó°¡
Ôõô¸Ä£¬Ð»Ð»ÁË

ODE45_mainÎļþ:
clc;clear
tspan=[0,1];
y0=[0; 0;0;0;0];
[t,y]=ode45('ODE45_fun',tspan,y0);

[m,n]=size(y);
for i=1:m
    y(i,6)=-178075801.6*y(i,4)*y(i,5)+490910.1296*y(i,3)*y(i,2)+1128974.05+7481.104004*sin(2.047t);

end
data=[t,y];
save ODE45_data.txt data -ascii
subplot(2,3,1),plot(t,y(:,1)),title('y(1)')
Xlabel('t');Ylabel('y');
subplot(2,3,2),plot(t,y(:,2)),title('y(2)')
Xlabel('t');Ylabel('y');
subplot(2,3,3),plot(t,y(:,3)),title('y(3)')
Xlabel('t');Ylabel('y');
subplot(2,3,4),plot(t,y(:,4)),title('y(4)')
Xlabel('t');Ylabel('y');
subplot(2,3,5),plot(t,y(:,5)),title('y(5)')
Xlabel('t');Ylabel('y');
subplot(2,3,6),plot(t,y(:,6)),title('y(6)')
Xlabel('t');Ylabel('y');

grid on

ODE45_funÎļþ£º
function  dy=ODE45_fun(t,y)
dy(1)=-1.918298553*y(3)*y(4)-121.6697369*y(5)*y(2)+0.006472085*y(2)*y(2)+15.25250926*y(5)*y(5)-0.518363603*sin(2.047t)+0.001124759;

dy(2)=0.007229182*y(5)*y(1)-0.013867729*y(3)-0.005151943*sin(2.047t)+33.43424564*y(4)*y(5)-0.092169794*y(3)*y(2)-0.698266828;

dy(3)=72.10986245*y(2)+0.52129529*y(4)*y(1)+0.025471074*y(3)+921.886526*y(4)/y(1)-0.47870471*y(4)+0.025471074*y(1)*t-0.38220722*cos(2.047t)-4.62279911;

dy(4)=-57.37263009*y(5)+0.001053501*y(3)*y(1)+20.28825016/y(1)-0.001053501*y(3)+0.064741605*y(4)+20.28825016*t-0.006201915*sin(2.047t)-3651.904822;
  
dy(5)=0.017284293*y(4)+0.00278644*y(1)*y(2)-0.551218454*y(2)*y(5)*y(5)+0.010839281*y(2)*y(2)*y(5)+0.020353114*cos(2.047t)+0.110594984;
dy=[dy(1);dy(2);dy(3);dy(4);dy(5)];
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wyjjf

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¡ï
Сľ³æ: ½ð±Ò+0.5, ¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
ÒýÓûØÌû:
2Â¥: Originally posted by amoroso_xmc at 2015-04-05 20:41:14
2.047ºÍtÖ®¼ä©Á˳˺Å*¡£
»òÕßt²»ÊÇÒ»¸ö±êÁ¿£¿

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3Â¥2015-04-06 07:06:14
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amoroso_xmc

гæ (³õÈëÎÄ̳)

¡ï
Сľ³æ: ½ð±Ò+0.5, ¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
2.047ºÍtÖ®¼ä©Á˳˺Å*¡£
»òÕßt²»ÊÇÒ»¸ö±êÁ¿£¿
2Â¥2015-04-05 20:41:14
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

wcnmaz

гæ (СÓÐÃûÆø)

ÒýÓûØÌû:
2Â¥: Originally posted by amoroso_xmc at 2015-04-05 20:41:14
2.047ºÍtÖ®¼ä©Á˳˺Å*¡£
»òÕßt²»ÊÇÒ»¸ö±êÁ¿£¿

лл»Ø´ðÁË
2.047*tÁË£¬ÕâÒ»Ðл¹Êdzö´í°¡
y(i,6)=-178075801.6*y(i,4)*y(i,5)+490910.1296*y(i,3)*y(i,2)+1128974.05+7481.104004*sin(2.047*t);


»¹ÓУº[t,y]=ode45('ODE45_fun',tspan,y0); ûÓдíÎó°É


Warning: Failure at t=5.501826e-001¡¾¡¾¡¾¡¾y0=»»²»Í¬µÄ³õʼֵ£¬Failure at t²»Í¬¡¿¡¿¡¿¡¿. Unable to meet integration tolerances without reducing the step size below the
smallest value allowed (1.776357e-015) at time t.

the smallest value allowedÔõôÉèÖôóһЩ£¿¿ÉÒÔÎþÉüһЩ׼ȷ¶È


ODE45_mainÎļþ:
clc;clear
tspan=[0,180];
y0=[1e-5;1e-5;1e5;1e-5;1e-5];
[t,y]=ode45('ODE45_fun',tspan,y0);


[m,n]=size(y);
for i=1:m
y(i,6)=-178075801.6*y(i,4)*y(i,5)+490910.1296*y(i,3)*y


(i,2)+1128974.05+7481.104004*sin(2.047*t);

end
data=[t,y];
save ODE45_data.txt data -ascii
subplot(2,3,1),plot(t,y(:,1)),title('y(1)')
Xlabel('t');Ylabel('y');
subplot(2,3,2),plot(t,y(:,2)),title('y(2)')
Xlabel('t');Ylabel('y');
subplot(2,3,3),plot(t,y(:,3)),title('y(3)')
Xlabel('t');Ylabel('y');
subplot(2,3,4),plot(t,y(:,4)),title('y(4)')
Xlabel('t');Ylabel('y');
subplot(2,3,5),plot(t,y(:,5)),title('y(5)')
Xlabel('t');Ylabel('y');
subplot(2,3,6),plot(t,y(:,6)),title('y(6)')
Xlabel('t');Ylabel('y');
% plot(t,y(:,1),'bo',t,y(:,2),'rx',t,y(:,3),'gv',t,y(:,4),'r-');
grid on




ODE45_funÎļþ£º
function dy=ODE45_fun(t,y)
dy(1)=-1.918298553*y(3)*y(4)-121.6697369*y(5)*y(2)+0.006472085*y(2)*y(2)+15.25250926*y(5)*y(5)-0.518363603*sin(2.047*t)+0.001124759;


dy(2)=0.007229182*y(5)*y(1)-0.013867729*y(3)-0.005151943*sin(2.047*t)+33.43424564*y(4)*y(5)-0.092169794*y(3)*y(2)-0.698266828;


dy(3)=72.10986245*y(2)+0.52129529*y(4)*y(1)+0.025471074*y(3)+921.886526*y(4)/y(1)-0.47870471*y(4)+0.025471074*y(1)*t-0.38220722*cos(2.047*t)-4.62279911;


dy(4)=-57.37263009*y(5)+0.001053501*y(3)*y(1)+20.28825016/y(1)-0.001053501*y(3)+0.064741605*y(4)+20.28825016*t-0.006201915*sin(2.047*t)-3651.904822;

dy(5)=0.017284293*y(4)+0.00278644*y(1)*y(2)-0.551218454*y(2)*y(5)*y(5)+0.010839281*y(2)*y(2)*y(5)+0.020353114*cos(2.047*t)+0.110594984;


dy=[dy(1);dy(2);dy(3);dy(4);dy(5)];
4Â¥2015-04-06 14:43:44
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

wcnmaz

гæ (СÓÐÃûÆø)

y(i,6)=-178075801.6*y(i,4)*y(i,5)+490910.1296*y(i,3)*y(i,2)+1128974.05+7481.104004*sin(2.047*t);
ÕâÒ»ÐÐÓ¦¸ÃûÓдíÎóÁ˰ɣ¿£¿£¿
5Â¥2015-04-06 19:16:41
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
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