Hi,
you are right, there are 5 types of damping. But ALPHA and BETHA belongs to one type of damping, i.e Rayleigh damping. One that you don't name is constant damping (DMPRAT). They could (must not) be used in the following analyses:
Rayleigh : damped modal, harmonic, trancient, spectrum,
substudture
Material : damped modal, harmonic, trancient, spectrum
excluding PSD, substructure
Modal : harmonic, trancient with mode superposition,
spectrum
Element : damped modal, full & reduced harmonic, full &
reduced trancient, substucture
constant : harmonic, spectrum, trancient with mode
superposition
May be someone has successfully implemented damping in analysis not mentioned above, so please correct it.
cheers