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Longman Dictionary of Contemporary English
padded cell
noun
EXAMPLES FROM CORPUS
▪ Adam was so extreme; they really would cart him off to a padded cell one of these days.
▪ Away from what most other people would regard as glamour, he retreated to that padded cell off the Edgware Road.
▪ Fulfilling her needs won't settle his, he shouldn't be kept in a padded cell.
▪ He padded his bedroom - literally like a padded cell - so that he wouldn't hear the noise of traffic outside.
Wikipedia
Padded cell

A padded cell - or Personal Safety Room - is a cell in a psychiatric hospital with cushions lining the walls. The padding is an attempt to prevent a patient from hurting themselves by hitting their head (or other bodily parts) on the hard surface of the walls. In most cases, an individual's placement in a padded cell is involuntary.

A padded cell is sometimes colloquially known as a "rubber room", seclusion room, time out room, calming room, personal safety room among others.

Usage examples of "padded cell".

I was even afraid to look out the open door, afraid they would think I was trying to escape, and then I would be put into a padded cell for sure.

They opened up the padded cell and there he was, dead, and turning black already.

His heart jumped against his ribs like a maniac in a padded cell for one eye was sky blue and the other violet flecked with gold.

The whole passenger compartment could become exactly that - a padded cell - in the event of accident.

A little while after she'd woken up whole and well, alone in that padded cell, a woman wearing a black uniform had come and escorted her to a bathroom with a shower, given her a rolled towel that contained a toothbrush and soap, and told her to wash.

Must have spent what there' d been of his life in some padded cell or a hospital bed, something like that.