What is the semantic relationship between the verbal phrases of a serial verb construction? The general syntax of a serial verb construction sentence type is:

S VP1 VP2 VP3...

wherein S stands for Subject and VP for verbal phrase.
As far as I know, the sequence of verbal phrases express an event in a detailed way.
But is the relationship between the verbal phrases just temporal, i.e. do the verbal phrases describe an event temporally in the sequence of their appearance?
For example:

我 看水果 切水果 愉快地吃水果 .
I see a watermelon,then cut it, then joyously eat it.

Is the temporal relationship the only one?
Is the temporal relationship the only one?


Most, but not all.

"我看水果"，"我切水果" and "我愉快地吃水果" are three separate SVO sentences. When we consolidate them into a single sentence, the temporal relationship between each verb phrase is there because these verb phrase must follow a logical timeline.


  我看(到)水果(就)切开它们(然后)愉快地吃 - Once I saw the fruit, I cut it and then happily ate it ,


I must see the fruit first, before I can cut it, and I must cut it first, before I can eat it.

Similarly:


  我大喝一聲, 我揮拳, 我打中他小腹 - I shout, I punch, I hit his lower abdomen
  
  我大喝一聲(便)揮拳打中他小腹 - I shouted and immediately punch and hit his lower abdomen


I shouted first, then I punch, and finally hit his abdomen 

However, not all multiple verb phrase has a temporal relationship like the examples above. They can happen concurrently.

Example:


  我吃飯，我看電視，我大聲笑 
  
  I have dinner, I watch TV., I laugh loudly
  
  我吃飯(的同時)(邊)看電視(邊)大聲笑
  
  I laugh loudly while I am watching TV. and having dinner. 


I have dinner, watch TV and laugh loudly at the same time.