modelling vibration of a crane that I described as a mdof with mass stiffness and damping. Now I need to find the damping. I attempted Rayleigh approach but did not get far as I only have one damping ratio for the single decay curve.
It depends what you need to have in result. If you investigate overall response by first mode, then MDOF is not needed at all. Otherwise, if you have to analyse response at every natural mode, you need FRF. Firstly, try to assign damping inversely proportion to natural frequencies and with such values so that to approximate your overall decay curve.