Abstract
After discussing the aims and significance of topology optimization, layout optimization of grid-like structures is discussed in detail. In the proposed method, the ground structure (structural universe) approach is used, together with continuum-type optimality criteria. Layout optimization may be carried out using (i) analytical methods for exact, often closed-form, continuum-type solutions or (ii) numerical methods for approximate, discretized solutions. Due to the high optimization capability of modern OC methods, the latter provides simultaneous optimization of geometry and topology, with a high degree of accuracy. Finally, a new, extended optimal layout theory for multiload, multipurpose structures is outlined and applications to particular classes of problems given.
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Rozvany, G.I.N., Zhou, M., Birker, T., LewiÇıski, T. (1994). Discretized Method for Topology Optimization. In: Gutkowski, W., Bauer, J. (eds) Discrete Structural Optimization. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85095-0_14
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DOI: https://doi.org/10.1007/978-3-642-85095-0_14
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