Sorry to hear about your Problem, Could you let Me know what the make of the Refrigerator is?
I don't like being the bearer of bad news but in my experience with those kenmores is you more than likely have a bad compressor, basically that machine will run fine, but when the supports inside the compressor housing completely break, No More Getting Cold, best way to describe it is, not good. I have seen many, many kenmores with the same problem. There really isn't anyway to stop the noise, except replace the compressor.
Anymore questions please feel free to ask,
Thank you again
Does the noise sound like someone hit the compressor with a hammer. Pretty much if thats the case there really isn't anything you can do for it. I have been out to work on customers appliances(not the fridge) and heard that bang and said,OH. And when I go take a peek at the fridge, its a kenmore.
I used to Sell Reconditioned Appliances and when I would go buy a load to rebuild I would steer clear of the really nice looking Kenmore Fridges, I'd always ask, even though I knew the Answer, "wonder why someone would get rid of this" For the Same Problem you are having. Not worth the repair I would have had to put to much in it to sell at a reasonable cost.
Your Welcome, anytime. Like I said before, don't mean to bring bad news.
Thank you Again for using JustAnswer.com