Hi

I am not sure I interpret your question correctly. The answer below refers to a multitude of impacts, e.g. from rain on a roof.

You can use a power balance. The plate kinetic vibration energy is M*, where is spatiially averaged vibration and M is mass. For steady state, the mechanical input power, Pin, matches the dissipated power, i.e. Pin = w*eta*M*, where w = 2*pi*frequency and eta is the structural damping loss factor.

This approach has been used to estimate the power of cutting tools and similar.

Sincerely

Claes

Many thanks