With the help of Jim Bernard, the issue with your model is that it is using Parabolic Shells. In NX12, the old element formulation had no stiffness in the drilling DOF and PARAM,K6ROT was ignored, and singularities like this are a common problem. In your case, the maximum pivot ratio is 4.6e7 which is slightly larger than the default of 1.0e7, so in NX12, setting the PARAM,MAXRATIO to something larger than 5.0e7 will allow it to solve and generate results. Add the MAXRATIO to the Parameters in the Bulk Data tab of the solution.
A new parabolic shell element formulation was added for the next release of NX to handle issues like this.