Difference between 晃, 摇, 抖, 荡, 摆, 挥, 颤 and 滚
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