Your best bet is to start by removing the shutter block from the lens board in order to find the real problem. The black ring on the back with two slots looks to be the retaining ring.
From there, you need to determine one of three ways that the aperture can be stuck. One is dirt and such under the back plate. The aperture indicator will be attached to this part. Two is a broken or unseated aperture blade- you might be able to see one of the blades either obviously out of position or bending as you try to move it. Be gentle. Need to break down, clean and hope that the blade(s) have the rivets and such unbroken. Three is a basic dirty old grease mess in the internal aperture mechanism- this means breaking down the shutter to get to this and cleaning it out.
Worth getting the shutter out and running a piece of paper under the rear plate to try to clean it out. A little naphtha, more paper or such inside to wipe it clean, etc.
Oh, fourth way, to check first- mechanical interference between the shutter block and the lens board. Sometimes spacers or levers get put in the wrong place, etc. In this case, the movement issue will clear up once you get the shutter off of the lens board.
If this is your first time, take lots of photos with a digital camera. Every time you remove a piece, do a new series of 4 or more angles. You'll have little idea of what is actually important, so the more angles the better chance you'll have a photo of how it was originally.