Hi! I want to find the transfer function from a laplace transformation of a differential equation. Specifically this is the example I am working:
m = 1;
e = 0.06;
O = 25;
s = 25;
h = 1+e*s;
f = m*e*O^2;
P = e*f;
d = 0.1;
z = e*d;
%%%%%%%%%%%%%%%
syms t z u(t) e h P
f = diff(u(t),t,2) + 2*z*diff(u(t),t) + u(t) + e*(u(t))^3 – h^2 *P*cos(h*t);
F = laplace(f);
%transfer fuction
——————-
The laplace transformation gives me this:
F = e*laplace(u(t)^3, t, s) – subs(diff(u(t), t), t, 0) – s*u(0) + s^2*laplace(u(t), t, s) – 2*z*(u(0) – s*laplace(u(t), t, s)) + laplace(u(t), t, s) – (P*h^2*s)/(h^2 + s^2).
I dont know how to convert it to a simplier form to find the transfer function. Please if you know something, comment below.
Thank you!!!Hi! I want to find the transfer function from a laplace transformation of a differential equation. Specifically this is the example I am working:
m = 1;
e = 0.06;
O = 25;
s = 25;
h = 1+e*s;
f = m*e*O^2;
P = e*f;
d = 0.1;
z = e*d;
%%%%%%%%%%%%%%%
syms t z u(t) e h P
f = diff(u(t),t,2) + 2*z*diff(u(t),t) + u(t) + e*(u(t))^3 – h^2 *P*cos(h*t);
F = laplace(f);
%transfer fuction
——————-
The laplace transformation gives me this:
F = e*laplace(u(t)^3, t, s) – subs(diff(u(t), t), t, 0) – s*u(0) + s^2*laplace(u(t), t, s) – 2*z*(u(0) – s*laplace(u(t), t, s)) + laplace(u(t), t, s) – (P*h^2*s)/(h^2 + s^2).
I dont know how to convert it to a simplier form to find the transfer function. Please if you know something, comment below.
Thank you!!! Hi! I want to find the transfer function from a laplace transformation of a differential equation. Specifically this is the example I am working:
m = 1;
e = 0.06;
O = 25;
s = 25;
h = 1+e*s;
f = m*e*O^2;
P = e*f;
d = 0.1;
z = e*d;
%%%%%%%%%%%%%%%
syms t z u(t) e h P
f = diff(u(t),t,2) + 2*z*diff(u(t),t) + u(t) + e*(u(t))^3 – h^2 *P*cos(h*t);
F = laplace(f);
%transfer fuction
——————-
The laplace transformation gives me this:
F = e*laplace(u(t)^3, t, s) – subs(diff(u(t), t), t, 0) – s*u(0) + s^2*laplace(u(t), t, s) – 2*z*(u(0) – s*laplace(u(t), t, s)) + laplace(u(t), t, s) – (P*h^2*s)/(h^2 + s^2).
I dont know how to convert it to a simplier form to find the transfer function. Please if you know something, comment below.
Thank you!!! transfer function, laplace transformation, differential equations MATLAB Answers — New Questions

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