Abstract
In part 1 of this paper, efficient reanalysis method for topological optimization of structures is presented. The method is based on combining the computed terms of a series expansion, used as high quality basis vectors, and coefficients of a reduced basis expression. The advantage is that the efficiency of local approximations and the improved quality of global approximations are combined to obtain an effective solution procedure.
The method is based on results of a single exact analysis and it can be used with a general finite element program. It is suitable for different types of structure, such as trusses, frames, grillages, etc. Calculation of derivatives is not required, and the errors involved in the approximations can readily be evaluated.
In part 2, several numerical examples illustrate the effectiveness of the solution procedure. It is shown that high quality results can be achieved with a small computational effort for various changes in the topology and the geometry of the structure.
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© 1997 Springer-Verlag Wien
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Kirsch, U. (1997). Reanalysis Models for Topology Optimization. In: Rozvany, G.I.N. (eds) Topology Optimization in Structural Mechanics. International Centre for Mechanical Sciences, vol 374. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2566-3_7
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DOI: https://doi.org/10.1007/978-3-7091-2566-3_7
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