An oscillator is driven by a triangular periodic force (if that makes sense), which has period [tex]\tau[/tex] = 2.
(a) Find the long-term motion x(t), assuming the following parameters: natural period [tex]\tau[/tex][naught] = 2 (that is, [tex]\omega[/tex][naught] = π), damping parameter ß = 0.1, and maximum drive strength fmax = 1. Find the coefficients in the Fourier series for x(t) and plot the sum of the first four terms in the series for 0 <= t <= 6.
The Attempt at a Solution
For starters: the Fourier coefficients, An (A sub n), I see in my book the equation for. It has in it f sub n, omega naught, omega, beta, and n. n is easy, beta is given, omega naught is given, but omega and f sub n confuse me. I would have thought, that since omega = (2*pi)/(tau), that, with a period of 2, omega would equal pi. But that doesn't seem correct, and, also, I don't know how to find f sub n.
Further: if anyone knows the program Matlab well enough, could you share how I would be able to graph this? I only first began my relationship with the program last night (early this morning, really).
If what I'm asking doesn't make sense, sorry. Chalk it up to my sleeplessness.