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I have the following forced torsional vibration problem of the form

##\displaystyle J_0 \ddot{\theta}+k_t\theta=\frac{a_0}{2}+\sum_{n=1}^{\infty} (a_n \cos n w t+b_n \sin n w t)##

I assume the solution of the CF is in the form ##\theta=A \cos nwt+B\sin nwt## but I am not sure what to assume for the PI which is a Fourier Harmonic....

Any suggestions?

Regards

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# What form for the particular integral of this 2nd order Diff Eqn

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