Why my ODE is not solving?
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Aung Moe Zaw
el 27 de Mzo. de 2022
Comentada: Aung Moe Zaw
el 27 de Mzo. de 2022
I'm trying to solve the ODE with an input of a cosine wave (x1) but i am not getting the output in a wave form. Please help me out. Thanks!
function [] = call_spring()
t=0:0.001:10;
y0=[0,1];
x1=2.5*cos(4*pi*t);
[t,y]=ode45(@spring,t,y0);
plot(t,y,t,x1)
function dzdt = spring(t,y)
k=342; m=2.853; x1=2.5*cos(4*pi*t);
y1=y(1);
y2=y(2);
dzdt = [y2 ; (-k/m)*(x1-y1)];
end
end
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Respuesta aceptada
Sam Chak
el 27 de Mzo. de 2022
Editada: Sam Chak
el 27 de Mzo. de 2022
Because of the sign in this line. (minus) (minus) = plus. It means that energy is continuously injected into the system, and destabilizes it.
(-k/m)*(x1 - y1)
function [] = call_spring()
t = 0:0.001:10;
y0 = [0, 1];
x1 = 2.5*cos(4*pi*t);
[t, y] = ode45(@spring, t, y0);
plot(t, y, t, x1)
end
function dzdt = spring(t, y)
k = 342;
m = 2.853;
x1 = 2.5*cos(4*pi*t);
y1 = y(1);
y2 = y(2);
dzdt = [y2;
(-k/m)*(x1 + y1)];
end
Result
Also, please double check your equation. Could be this one too:
(-k/m)*y1 + (1/m)*x1
4 comentarios
Sam Chak
el 27 de Mzo. de 2022
You are welcome, @Aung Moe Zaw
There are two vectors in y. To plot only the first vector, then replace
plot(t, y, t, x1)
with
plot(t, y(:,1), t, x1)
grid on
xlabel('Time, t')
ylabel('y_{1} and x_{1}')
title('Time response of y_{1}, perturbed by x_{1}')
legend('y_{1}', 'x_{1}')
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