Toilet vibrates when flushed. It is not clogged. The water goes down but makes a annoying noise and vibrates when flushed. Why? What needs replaced?

SOURCE: noise of flush water

You have two issues inside of the toilet tank. The holding down the button is caused by your chain not being tight enough from the handle to the flapper. Take the slack out of that and replace the flapper. The second is that you need to replace the fill valve. This is what is making the noise when the tank is being refilled, and will have to be adjusted after it is installed.
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SOURCE: toilet tank will not refill with water after flushing

I fixed the problem. There was a clog in the pipes so i just flushe dthe pipes out.
thanks,
for your help

SOURCE: toto toilet, flapper doesn't stay up long enough to flush

One of two things is the problem. First, make sure that you have a tight chain with little slack. If there's too much slack, the flapper won't catch in the passing air to stay up. Second, the flapper is not correct for that style of toilet. You might want to look into purchasing a new Kolby filter that has a removeable cone in the center. Move that cone to 12 o'clock to allow the maximum amount of water to run through the flush valve. If the flapper you have now is flat, it needs to have a cone in the center on the underside.

SOURCE: New Toto toilet continues to trick water

check the water level in your tank if it is filling ,ajust the float in your tank so it stops before going over the overflow. if not your flapper is the culpret

SOURCE: The toilet makes a very loud, high pitched noise when flushed.

I recently had the same problem. to let you know I replaced the filler and the flapper to NO avail. I tried flushing with the water OFF and it still did it thought it was in the siphon so I removed the water going in there and it still made the sound. This AM it got to me so I was determined to be rid of the WHINE It only happens when the TOP is on that is when it hit me is the seal so great that the vacuum creates the whine I put the little rubber door stops, the one you use in door jams, on the four side and tada no more sound Hope this helps