My iphone 4 plug on charger vibrates screen not on?

Okay so I'm on my phone 24/7 their moments it will charge 20 30 40 percent n take it off the charger to use it so yea It been on low battery for half of day I put it to charge n screen goes black usually give it couple minutes of charging screen light turns on this time it vibrated n screen light not on I'm worried. I use different outlet different chargers I'm worried I press the circle bottom the top button couple times n no light nothing just vibrate wen I plug it on charger n so far nothing else

I would move this question to Computer and Internet category.

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