Métodos numéricos não convencionais na abordagem dinâmica em cascas de revolução com simetria axial de forças

Abstract

This dissertation has as objective presents and checks a series of non-conventional methods for numerical analysis in comparison with the finite element method (FEM) applied commercially. Initially is performed a bibliographic revision for a posterior building of theoretical reference. Among the approached items of this theoretical reference are a quick description and history about pressure vessels, GFEM method, H-FEM method, Stable GFEM method and FEM B-Spline method. On the theoretical reference is built all equation basis of each method for posterior programming of each one in the software Matlab®. The generated results approaches the studies of locking due shear forces in circular plates under the first natural frequency, analysis of approximation spaces regularity obtained according to the methods cited before, study of relative error of natural frequencies than the reference solution for an interval of 50% of first modes numerically approximated and studies of effects due forced vibration generated by impulse forces applied in the radial symmetric plan of cylindrical shells and spheres.