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ADVANCES IN OPTIMIZATION FOR STRUCTURAL ENGINEERING
Edited by: B.H.V. Topping
Topology Design of Plate and Shell Structures using the Hard Kill Method
F. van Keulen* and E. Hinton#
*Faculty of Mechanical Engineering and Marine Technology, Delft University of Technology, Delft, The Netherlands
F. van Keulen, E. Hinton, "Topology Design of Plate and Shell Structures using the Hard Kill Method", in B.H.V. Topping, (Editor), "Advances in Optimization for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 177-188, 1996. doi:10.4203/ccp.40.7.3
The present paper focuses on the application of an evolutionary structural design algorithm, which is based on a further elaboration of the hard kill method. Here also recovery of material is used and the applied finite element meshes are kept adequate by means of adaptive mesh refinement. Recovery of material is controlled by the stress levels in adjacent elements. The mesh densities are determined by (i) the standard Zienkiewicz-Zhu error estimator and (ii) the shortest distance to a boundary between material and no material.
The above approach is generalized to plates and shells and to their reinforcement layers. The restriction of a single reinforcement layer is adopted, which is placed on top of the plate or shell under consideration. It is shown that application to reinforcement layers is not possible straightforwardly, as it may lead to severe oscillations. Therefore, the effect on the stresses when a reinforcement, layer is removed will be estimated a priori. If these estimated stresses become too high, the reinforcement layer will he kept.
The proposed algorithm is demonstrated for several numerical examples.
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