[American Institute of Aeronautics and Astronautics 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 14th AIAA/ASME/AHS Adaptive Structures Conference 7th - Newport, Rhode Island ()] 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference<BR> 14th AIAA/ASME/AHS Adaptive Structures Conference<BR> 7th - A Study of How the Nonlinearities of the Collapse Loading of Spherical Shells Can be Quantified in a Probabilistic Framework