A bunch of the shell edges aren't bonded correctly. The excessive displacements are stopping the nonlinear solver.
Turn off the 'large displacement' option and run the study. Enable the 'Deformed Result' option and you can see massive deformations on non-attached parts.
You can use the contact visualization plot to help verify bonded edges.
Thank you for the assistance. Did you use the contact visualization to see the areas which are not bonding correctly?
Bonding is often a problem. I started by trying the linear solver and the results made it clear bonding was the issue. I then used the contact visualization plot to get a better sense of what was bonded and what was not.
Make a list (perhaps mentally) of all the bonding surfaces. Then either 1) manually define each one or 2) check each one on the contact visualization plot to make sure it is bonded.
This looks like the surfaces were imported. You might be able to extend surfaces in SW "up to surfaces" to get everything to bond automatically.
This follows the "crawl - walk - run" method for solving a study. Start with a well defined (fixed) linear study and work your way up to the accurately setup nonlinear study. See The Crawl Walk Run system with SolidWorks Simulation Part 1 - YouTube
Actually I think this part is fairly "lucky" - usually with this level of bonding issues you'd find one part that wasn't bonded at all, and this would prevent the linear solver from completing. If this were to happen you can "exclude from study" all but one of the components, verify that works, then add components back in one at a time. You could do this in a frequency study, which solves quickly. If a component is only bonded in one area it will flex around a lot, and this will easily be seen by animating the mode plot.