If you want to simulate a transient event on a structure there are two methods: explicit and implicit and those are available as Explicit Dynamics and Transient Structural.
Transient Structural is a lot like Static Structural, just with time and mass added so that inertia forces are included in the equations and the solutions include time integration so they can step through time.
Explicit Dynamics is very different and was created to simulate events that implicit solvers would struggle with such as projectiles piercing armor.
I recommend you try Transient Structural for your problem. You don't need to link a Static Structural to a Transient Structural model. You just make the Transient Structural have two or more steps, where in Step 1, you turn off Time Integration while the Static equilibrium is solved, then in Step 2, Time Integration is turned on.