I like many of Dwight Normile’s suggestions. They are worth considering, for sure.
For example:
WOMEN’S VAULT – Any fall, including just a hand touch, should incur a 3.0 deduction. …
BARS – Any empty swing, such as those after a Shaposhnikova-type skill, shall incur a deduction. …
BEAM – Add an actual mount requirement …
WOMEN’S FLOOR – gymnasts are required to perform no more than three tumbling passes …
RINGS – swing to handstand in both directions …
MEN’S VAULT – if you qualify to an event final, your second vault must feature a difference greater than moving one hand approximately eight inches from where it touched on vault No. 1. …
Click through for details.
An alternate solution for Beam would be to have the mount count for difficulty.
Gymnastics Coaching.com 