Shut ear is a state or situation where a person can get away from noisy distractions and concentrate on the task at hand. It can be partially experienced in a park or remote place or bed or other quiet space or can be partially and artifically induced with ear plugs or in a soundproof booth. Shut ear is like shut eye only with a different sensory organ.
(1)I could concentrate very well on what I was doing because I got some shut ear.
(2)See you later. I'm going home for some shut ear.
(3)I threw my music player out in order to get some shut ear