Harmonic Oscilation. When I plot f towards time amplitude is increasing I don't know why. It should be constant. what's wrong?
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Nikoloz Nikuradze
on 10 Sep 2020
Answered: Bjorn Gustavsson
on 10 Sep 2020
When I plot f towards time amplitude is increasing I don't know why. It should be constant. what's wrong?
for i= 1:N
t(i+1)=t(i)+dt;
E(i)=-f(i); % Equation for the z axial motion
w(i+1)=w(i)+E(i)*dt;
f(i+1)=f(i)+w(i)*dt;
end
plot(t,f);
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Bjorn Gustavsson
on 10 Sep 2020
Well if you have an equation of motion you should write it as an ordinary differential equation and solve it with a more ambitious method than the "explicit-Euler"-looking method you've chosen. Have a look at ode45 and its siblings. It seems pretty likely that at least one example of ODE-integration in the help, documentation and demos for the ode45, ode23 etc functions explicitly deals with harmonic oscillations. You likely can find some analysis of the expected long-term behaviour of explicit Euler-methods for this case if you search the internet.
HTH
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