For "to beat violently":
* Batter
* Pound
* Wallop
* Bash
* Lash
* Spank
For "to move violently":
* Flail
* Lurch
* Tumble
* Wrestle
* Buck
* Spin
For "to move around in a disorderly way":
* Ravage
* Ransack
* Scour
* Tear apart
* Destroy
For "to move with a lot of energy":
* Rock
* Shake
* Dance
* Jump
* Sway
For "to play music in a chaotic way":
* Blast
* Hammer
* Shred
* Rip
* Pound
To choose the best synonym, consider the context of the sentence and what you want to emphasize.