Now I do not greif but I think I understand their psychological state. Now... where to begin... The main part of it is that destroying other peoples hard work and watching the people explode makes some sick minded people happy. They know hours have been put into some of this work so they destroy it and that makes them feel good. I'm no neurologist so I'm no master of how the brain functions but knowing that you have really pissed someone else off who will never know who you are, and about the best they can do about it is get you banned is satisfying to some people. The exact state of mind people have and why they do this exactly is unkown to me.
When people are angery that could also trigger them to destroy things, and if they destroy things in-game nothing will happen that will affect them so they just ignore the fact that they are annoying another person. In their mind it's just: "oh well, i'm annoying someone i'll never meet, so it won't affect me if I annoy them.". Destroying things does help to satisfy peoples want to get rid of anger, though that is no good reason to destroy other peoples hard work. They should really just buy a stress ball.
Another reason due to anger is that if some people are angery, they seem to find that they want to ruin other peoples' day as well. I guess they think "hmm... well... I'm suffering so why don't I make others suffer as well?" a stupid state of mind indeed, and no man or woman with any hounor at all would do such a thing as to bring someone else down only because they are angery or upset. Griefers are strange people and they must have a lowly state of mind to do such a thing as to greif others' hard work.
All in all griefers appear to have a motive for griefing, but that is no good reason to ruin others' work. They should find a better alternative than being noobs and bringing others down with them. I feel really smart after saying all that