Analysis of large deflection equilibrium states of composite shells of revolution. Part 1. General model and singular perturbation analysis

Abstract

Abstract The singular perturbation method is applied in combination with the variational method to the general Reissner's equations describing axially symmetric large deflections of thin composite shells of revolution with varying material and geometrical parameters in meridian direction. The obtained asymptotic nonlinear boundary value problem is significantly simpler in comparison with the original one. The asymptotic model has the following advantages: number of the geometrical and stiffness parameters of shell is effectively reduced, and singularities are eliminated without loss of the accuracy of the solution. The simple asymptotic formulae have been derived in case of completed shells.