Print Email Facebook Twitter Conical shell edge disturbance Title Conical shell edge disturbance: An engineer's derivation Author Blaauwendraad, J. (TU Delft Applied Mechanics) Hoefakker, JH (TU Delft Applied Mechanics) Date 2016 Abstract Because a rigorous bending theory for thin shells of revolution is complicated, attempts have been made for reliable approximations of the edge disturbance problem under axisymmetric loading. A well-known one was published by Geckeler [1, 2], who obtained his approximation by mathematical considerations. He started from kinematic, constitutive and equilibrium equations for the rotationally symmetric thin shell without approximations. Herein he introduced mathematical simplifications. Each time when derivatives of a function of different orders appeared, he just kept the highest order derivative and neglected all lower ones. This is permitted if the function varies rapidly, as is the case for edge disturbances. Here we will present Geckeler's result in an alternate way, which illustrates the physical background of his mathematical approximation. Said in another way, we offer a derivation in the language of structural engineers. Subject Edge disturbance zoneEngineer's approachRotationally symmetric shell To reference this document use: http://resolver.tudelft.nl/uuid:6e75d8f5-04d2-4ce9-92de-331562df6a54 ISSN 0046-7316 Source Heron, 61 (3), 141-152 Part of collection Institutional Repository Document type journal article Rights © 2016 J. Blaauwendraad, JH Hoefakker Files PDF 1.pdf 321.37 KB Close viewer /islandora/object/uuid:6e75d8f5-04d2-4ce9-92de-331562df6a54/datastream/OBJ/view