Difference between 晃, 摇, 抖, 荡, 摆, 挥, 颤 and 滚 What is the difference between all these waving and shaking verbs?
My reseach gave me these results:


滚 - to roll (like a wheel does).
晃 - to rock from left to right (like a wind blowing on the side of the boat).  Or, as some say, 晃 is connected to "visual swinning" like a lantern on a thread or tree leaves waving and  thus blocking and unblocking the sun's light which passing through the tree top.
荡 - to rock from front to back making large swings? Nose dipping - back raising and so on.. Like a child on a swing (a hanging seat).
摇 - to spin in one place (to spin on spot)? Etymology suggest it's a depiction of a process of making some pottery using potter's wheel. So spinning sence should come from this process. There is also a phrase 摇电话. Why use 摇 with电话? Maybe it comes from the old telephones with a disk number plate? But on the other hand some say it is "to shake" as a bell shakes when ringing.
摆 - to wag a tail (like a dog), but then what is the difference with 晃? Can a dog 晃 it's tail?
抖 - ?
挥 - to wave, but what's so special about this kind of "waving"?
颤 - ?


I guess the difference between all those verbs might be in the:


direction of waving/swining. UpDown vs LeftRight vs BackForth.
ability to use those verbs in specific tense. (like 往往 is used for past and 常常 is for present and future tense)
amplitude of movement.


p.s. any etymology info which might help to differentiate between those verbs are much appreciated.
滚 : to boil;
to roll;
Get lost!

https://bkrs.info/slovo.php?ch=%E6%BB%9A

No definitions or words explicitly relating to waving or shaking

荡 (dang4)： pond, pool; wash away, cleanse + shake

https://bkrs.info/slovo.php?ch=%E8%8D%A1

The definition 'shake/swing' appears to be more literary. It resembles the swaying movement of a boat or reed in a pond.

I would add that in my experience it's counterproductive to seek differences in meaning of individual characters without context, as many characters are not used on their own but form parts of actual words.

The rest of the question would be better phrased as the difference between 摇动 摆动 晃动 抖动
and 挥动

挥动 is used when a person is waving some thing, because 挥 is also used in words to mean to command

摆动 is used for oscillating movement

摇动 would be your typical word for shake

I see 晃动 used a lot with liquids. It expresses shaking to and fro, oscillating up/down, or shaking in waves (that's why dogs don't 晃 their tail)

抖动 and 颤动 are both about trembling

抖动 is simpler lower frequency trembling, 颤动 is higher frequency trembling

抖动 is local 颤动 is global