Bode plot for nonlinear equation

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Alberto Manzanero
Alberto Manzanero 2017-11-8
回答： Aveek Podder 2017-11-24
Hello,
I want to plot the bode diagram for nonlinear equation. The equation is:
dxdt_2 = -c*x(2)-k*x(1)-b*(x(1)^3)+ F*sin(w*t+phi)
I have used this code:
t = 0:0.001:250; % time scale
c = 0.1;
k = 1;
b =0.5;
x0 = 0.1;
v0 = 0.1;
F=0.2;
phi=0;
w=10;
i= 0;
[t,x] = ode45( @rhs, t, [x0,v0]);
function dxdt=rhs(t,x)
dxdt_1 = x(2);
dxdt_2 = -c*x(2)-k*x(1)-b*(x(1)^3)+ F*sin(w*t+phi) ;
dxdt = [dxdt_1 ; dxdt_2];
end
How can I plot the Bode Diagram for this function?
Thank you

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回答（1 个）

Aveek Podder
Aveek Podder 2017-11-24
Hi,
You can use the 'fft' command of MATLAB to find the frequency analysis of the impulse response for the function and plot Magnitude and phase in 'semilogx' plot. But the response will be dependent on the initial conditions.

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