difference between shake, tremble, and shiver

shake - (сэгсрэх, савлах, савлуулах )can mean an intentional(зориуд, санаатай) and shake is the generic term for short movements up and down
object/building/person
 [intransitive, transitive] to move or make someone or something move with short, quick movements from side to side or up and down
     ----- The whole house shakes when a train goes past.
tremble - (чичрэх, айн чичрэх)I usually hear "trembling in fear" and A voice can also tremble with emotion, but not shiver
1 [intransitive] 
to shake in a way that you cannot control, especially because you are very nervous, excited, frightened, etc.
tremble (with something)
     ---- My legs were trembling with fear.
      ---- Her voice trembled with excitement.
2 [intransitive] to be very worried or frightened
     ---- I trembled at the thought of having to make a speech.
shiver - (дагжин чичрэх, дагжих, жихүүцэх)I usually hear  "shivering in the cold"  and 'shivering' is more likely to involve the whole body. It would seem strange to say 'her hand was shivering'
[intransitive] (of a person) to shake slightly because you are cold, frightened, excited, etc.
     ---- He shivered at the thought of the cold, dark sea.

difference between tremble, shake, and shiver

• The short answer is that shake is the generic term for short movements up and down or to and fro.Shiver is the kind of shaking you do when you are cold; and tremble is the kind of shaking you do when you are afraid or anxious about something

• Here is my take on their distinctions:
  shake - First, its a verb. I can be done to someone or done to oneself. It generally is a willed(сайн дурын) act, even if it's not a welcome one (meaning some agent is involved).
  shiver - (usually the whole body or at least a good half shivers). Still involuntary(санаандгүй), though there can be an identifiable cause (cold weather, fear, bad thoughts). Usually goes away either as fast as it came on, or if due to strong source, when that source is gone.
  tremble - Could be the same as a shiver, but if it's distinct, usually describes a shaking or unsteadiness(тогтворгүй байдал) caused by lack of power. You could be trembling when you stand up due to muscle weakness, or you could be trembling at the feet of a king because you are weak with humility, etc.
  Overall, the finer points of the words are going to be cause, locality (part of the body) voluntariness, duration, and severity.

• Regarding the original question, I mostly support what Txiri has to say. I will add, though, that 'shivering' is more likely to involve the whole body. It would seem strange to say 'her hand was shivering'; 'her hand was shaking' sounds most natural to me, and 'trembling' would work as well, although to a lesser extent.

difference between shiver and tremble

   

• Hmm... in literal meaning, they are the same, but they tend to be used in different situations. I usually hear "trembling in fear", and "shivering in the cold", for example. But it's certainly possible to "shiver in fear" and "tremble in the cold" as well, and they mean the same things. 

• I would say that there are some differences in usage, even though these words do have similar meanings. 
  
  For example, while one could certainly say, "The last earthquake was so severe that the buildings trembled on their foundations," using "shivered" instead of "trembled" would seem quite strange (at least to me). 
  
  A voice can also tremble with emotion, but not shiver. Leaves can tremble in the breeze, but they usually don't shiver in the breeze. 
  
  In general, I most often use "shiver" to describe the shaking of a living thing in response to extreme cold or fear, and "tremble" for everything else.

difference between shake and tremble

• Not much difference. Really the difference is in the scope of what the word CAN mean. They could concievably be used to describe the exact same action. Trembling, though, is fairly narrow in its meaning. It pretty much always is used to describe an involuntary action that is a result of either cold or fear. Shaking, on the other hand, can mean the same as trembling, or can mean an intentional(зориуд, санаатай) action of similar appearance, or can even mean something you might do to someone or something else. Also the shaking described by the word "trembling" is almost always going to mean small, fast movements, whereas the word "shaking" could be the same, or could describe any range of larger and/or slower movements.
  I hope this helps.

• The only difference is that shaking can be deliberate(албаар) while trembling can't..like you can shake your hand, your leg, your whole body in general and other things too..But you can't tremble unless you're cold, or scared or nervous...trembling is the natural response your body gives to cold or fear..you have no control over that..but you have control over shaking..you can do it when you, you can stop doing it when you want..

• Although they mean about the same thing, there is a connotation to shaking that implies a large degree of movement, whereas trembling denotes a minor movement.