Weird vibration/ sounds coming from the rear end

so i was driving the other day and when i accelerated from a dead stop while turning i got this weird vibration and vibration sound coming from the back of the car. I though it might of been a strut since i knew mine were almost shot so i had new ones put on and the sound was still there. the weird part is if i let off the gas then push on it again the sound goes away. ow the car is doing it if i take off from a dead stop while going strait too. anyone know what could be causing this?