Numerical Solutions of the Nonlinear Axisymmetric Equations for Shells of Revolution

摘要

A numerical procedure for the solution of the nonlinear equations governing the large axisymmetric deflections of thin shells of revolution is presented and applied both to the complete equations due to Reissner and to the simpler equations to which these reduce for small-finite angle changes. Global solutions extending into the postbuckled range are shown to be considerably more complicated than expected. The character of the global solution is also shown to be quite sensitive to boundary conditions imposed. A comparison of the results obtained from the complete equations and the small-finite deflection equations reveals a very close agreement through the entire load-deflection history. (Author)