Modified Newton Iteration Research Articles

Postwrinkling behavior of a conical shell of revolution subjected tobending loads

An analysis and numerical method of solution are presented for determining the geometrically nonlinear behavior of a conical shell of revolution subjected to arbitrary loads. The analysis is based on Sanders' nonlinear shell theory. Expansion of all variables in a Fourier series in the circumferential coordinate reduces the governing nonlinear partial differential equations to a system of first-order ordinary differential equations. These equations are converted to a system of nonlinear algebraic equations by the use of the finite-difference method and are solved by a modified Newton iteration technique. Numerical results are presented for a postwrinkled pressurized cylindrical shell of revolution representing a typical tank section of the Atlas missile. The validity of this analysis is demonstrated by the very good correlation between the analytical and experimental results. [A] [A*] D d E K L [L] M N_ ,Ne,N e {PJ