For many of our dynamics analyses, using general FEA models is a preferred approach.  We have constructed very detailed 3D models to obtain natural frequencies, forced response, and stresses.  Examples include:

Component vibration and stress, such as for blades and disks

General structures

pump assemblies

piping systems

housings

Isolator design

specification and design of effective supports

full 6 degree-of-freedom natural frequencies

linear and non-linear supports

internal loads & stresses

To perform these calculations, we use MSC/NASTRAN,
one of the leading general purpose analysis packages