With some help of a Matlab expert I believe I was able to locate an error in my
original calculations, and can account for all the power/energy at resonance
now.
The analysis/simulation in my original example were right in showing a 5x
amplification at output of the effort variable.
But later in calculating the in/out signals powers I incorrectly used the
normalized signal power formula (normalized to unity resistance), instead of the
actual power formula that considers the actual in/out resistance (this
resistance can be mechanical, electrical, etc).
The actual power formula then causes a 5x attenuation at output of the flow
variable, so that the in/out signal powers are equal (actual power = effort var
* flow var), and the energies in/out of the system per unit time are equal, as
it should be.
I believe in the case of a mechanical structure, the output force is 5 times
greater than the input force, but the output velocity of the element at
resonance is 5 times slower than the input velocity.
If anyone else can clarify this further, then I'd like to see your
comments.
Jack
