The best replacement for shaking is trembling.

The best alternatives to shaking are rated as following:
★★★★★  trembling
★★★★★  tremors
★★★★  stirring
★★  shivering
★★  twitching
★  involuntary movement
★  stirring cocktails
  quivering
  stirring paint
  nodding
  tremor

Your alternative for shaking is not listed? Suggest!
Speaking about shaking, one probably shouldn't forget about chills.

Other search terms related to shaking and their ratings are:
★★★★★ chills
shaking
You have in mind a companion for shaking and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of shaking in all years. Click on graph for more.
shaking
trembling
tremors