On effects of concentrated loads on perforated sensitive shells of revolution

Abstract

Sensitive shells are a class of constructions with specific and perhaps unintuitive responses to different loading scenarios. There are new emerging applications for capsules with open cavities, and as the designs are optimised to maximise the payload, sensitivity has to be taken into account. Concentrated loads induce singularities that propagate along the characteristics of the surfaces. Perforation patterns do not have a strong effect on internal layers. Under a symmetric concentrated loads for parabolic and hyperbolic shells there exists a critical thickness at which local features of solution begin to dominate, whereas for elliptic cases there is always a dominant global response. In non-uniform curvature cases the elliptic part will dictate the solution even if the load is not acting on it. The extensive set of simulations has been computed using high-order finite element solvers including adaptivity.