APPROXIMATE NONLINEAR BOUNDARY-VALUE-PROBLEMS OF REINFORCED SHELL DYNAMICS

A geometrically non-linear theory is presented for the dynamic analysi s of thin, circular cylindrical shells which have wafer, stringer or r ing stiffening. An asymptotic procedure is followed which separates th e solution of the non-linear equations of motion into two parts, an in ner part which applies to the boundary layer, and an outer part. The r esulting approximate equations are relatively simple to deal with. A n umerical example is solved for the free vibrations of a simply support ed, stringer-stiffened shell. (C) 1996 Academic Press Limited