Jiggle Deformer

Creates shaking on geometries depending on the speed of the points. jiggle deformer works based on positions and this node does not know how to account for changes in rotation or scale.. That is, for it, there is no rotation of geometries in the usual sense.
It uses a simulation zone, maybe sometimes you need to delete the cache and after getting the desired result, be sure to bake the result.

Settings

Geometry mode
Selection – Enabling or disabling simulations by selection type
Factor – The jiggle factor, the lower the value, the stronger the shaking. But the value cannot be equal to 0.
Weight – Weight for each model or geometry.
Damping – The speed slows down smoothly and reduces shaking.

In fact, the factor and the weight are the same thing, but I have derived both parameters for convenience. When the factor is responsible for the overall shaking, and the weight for the details.

Instance Mode
Toggle Position/Scale/Rottete – Enable or disable the transform channels affected by the jiggle. Turn on only the channels you want to animate.
Factor – Controls the jiggle strength. Lower values produce stronger shaking; higher values calm it down. Cannot be set to 0.
Scale– Amplifies the oscillation. Must be used together with Damping — without damping the simulation becomes unstable. Adjust in small increments (e.g. 0.1) to avoid breaking the motion.
Damping – Smoothly slows the motion down and gradually reduces the shaking.

How to use

The ramp of the object creates a gradient on the geometries along the axes from 0 to 1. Using the float curve, you can edit the gradient. This way, you can create shaking on different parts of the geometries.