GOTICA - generation of optimal topologies by irregular cellular automata
| Autor: | Bogdan Bochenek, Katarzyna Tajs-Zielińska |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Control and Optimization
Topology optimization 0211 other engineering and technologies 02 engineering and technology Network topology Computer Graphics and Computer-Aided Design Finite element method Cellular automaton Quantitative Biology::Cell Behavior Computer Science Applications Unstructured grid 020303 mechanical engineering & transports 0203 mechanical engineering Control and Systems Engineering Lattice (order) Polygon mesh Engineering design process Algorithm Software 021106 design practice & management Mathematics |
| Zdroj: | Structural and Multidisciplinary Optimization. 55:1989-2001 |
| ISSN: | 1615-1488 1615-147X |
| DOI: | 10.1007/s00158-016-1614-z |
| Popis: | In recent years the Cellular Automata (CA) concept has been successfully applied to structural topology optimization problems. In the engineering implementation of CA, the design domain is decomposed into a lattice of cells, and a particular cell together with the cells to which it is connected forms a neighborhood. It is assumed that the interaction between cells takes place only within the neighborhood and the states of cells are updated synchronously in subsequent time steps according to some local rules.The majority of results that have been obtained so far were based on regular lattices of cells. However, a practical engineering analysis and design in many cases require using highly irregular meshes for complicated geometries and/or stress concentration regions. The aim of the present paper is to extend the concept of CA towards the implementation of unstructured grid of cells related to non-regular mesh of finite elements. Introducing an irregular lattice of cells allows to reduce the number of design variables without loosing the accuracy of results and without an excessive increase of the number of elements caused by using a fine mesh for a whole structure. The implementation of non-uniform cells of Cellular Automaton requires a reformulation of standard local rules, for which the influence of the neighborhood on the current cell is independent of sizes of the neighboring cells. |
| Databáze: | OpenAIRE |
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