As suggested a top hinge with cord and pulleys to open & close. Mine is 36", steel housing covered with 3/4" foam board. Wooden frame door covered with same. One cord to a pulley above, pull open and wrap around a cleat. The other cord to a pulley on the wall under the fan, pull it tight to close. The door has self stick weather stripping to seal.
Also, I highly recommend mounting the fan to blow in instead of exhaust. Mine is an exhaust fan, first mounted that way. I could never feel any air movement that way. After the first summer I removed it, turned it around and remounted the shutters on the outside. Now, if I leave the door angled down it deflects the air flow toward the floor where I can feel it. No dust created in the shop goes through the fan, but out the doors. For rattle can painting I have only one door open about half way. I stay inside, out of the overspray by using a turntable. All the overspray goes out the door, not through the fan, as it would an exhaust fan. YMMV.
First pic is fan mounted as exhaust.
jp