If I have Strong Energy attached to a Trapinch and it evolves into a Vibrava, what happens?
When you evolve from a Fighting type Pokemon to another type (Dragon, in this case), the Strong Energy is immediately discarded.
Source: Furious Fists FAQ (2014-08-28), TPCi Rules Team (2014-08-28)
Can I attach Strong Energy to a non-Fighting type Pokemon?
No, the text says you can't.
Source: Furious Fists FAQ (2014-08-28), TPCi Rules Team (2014-08-28)
If I have Strong Energy attached to a Fighting type Pokemon and use an attack that says to discard an energy, do I get the bonus damage from Strong Energy before I discard it or not?
Yes, you do.
Source: Furious Fists FAQ (2014-08-28), TPCi Rules Team (2014-08-28)