ON NUMERICAL NONLINEAR ANALYSIS OF HIGHLY FLEXIBLE SPINNING CANTILEVERS††This paper presents one phase of research carried out at the Jet Propulsion Laboratory, California Institute of Technology, under contract NAS 7-100 sponsored by the National Aeronautics and Space Administration. The effort was supported by Dr. A. Amos and Mr. R. Goetz, Materials and Structures Division, Office of Aeronautics and Space Technology, NASA.