Hi @ogroupleader,
What is th verdict then? My theory is that the contact time between the ball and bat is so small that it doesn't matter but just having a flexible handle creates an illusion for the batter that he has middled it even though it may have been a miss hit. On the other hand the stiffer handles don't matter (other than feel good factor) since there is no time for the vibration wave to travel back and forth to the point of impact to have a trampoline effect or have more power due to more stiffness.
I have not studied cricket bat dynamics. However, the assertion that a small contact time renders stiffness irrelevant seems contradictory.
What follows is a simplified explanation of collision between racquet and ball.
At impact 2 things happen.
1. The ball makes contact with the string bed and the strings deform backwards.
2. The impact load of the ball against the strings causes the frame to deform or flex backwards. Note that the stiffness of the stringbed has no effect on the deformation of the frame. Frame deformation occurs concurrently and not subsequently to stringbed deformation. Also note if there is no stringbed deformation ie an extremely stiff stringbed (like a cricket bat) frame deformation will still occur.
The ball sits on the strings for 3-5 milliseconds.
The flex wave travelling down the racquet takes 7 milliseconds to travel from the head down to the shaft and back up to the head.
So this means that the frame does not recover its shape (or flex back) until after the ball has left the strings and already started its return journey.
So The energy that goes into flexing the rkt backwards is lost to the ball. It does not contribute to the balls rebound velocity.
The more the racquet flexes the more energy is not returned to the balls rebound. This is why stiffer racquet frames are more powerful than flexible racquets. They lose less energy in the collision.
I think it would follow that a stiffer bat would also less energy in collision between bat and ball ESPECIALLY because impact time is short.
I could be wrong though. Who's schooled in bat science?