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Numerical benchmarks for topology optimization of structures with stress constraints

Fiuk Grzegorz, Mrzygłód Mirosław W.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2021

Vol. 69, nr 6

art. no. e139317

Modern industry requires an increasing level of efficiency in a lightweight design. To achieve these objectives, easy-to-apply numerical tests can help in finding the best method of topological optimization for practical industrial applications. In this paper, several numerical benchmarks are proposed. The numerical benchmarks facilitate qualitative comparison with analytical examples and quantitative comparison with the presented numerical solutions. Moreover, an example of a comparison of two optimization algorithms was performed. That was a commonly used SIMP algorithm and a new version of the CCSA hybrid algorithm of topology optimization. The numerical benchmarks were done for stress constraints and a few material models used in additive manufacturing.

Topology optimization of structures with stress and additive manufacturing constraints

Fiuk Grzegorz, Mrzygłód Mirosław

Journal of Theoretical and Applied Mechanics

2020

Vol. 58 nr 2

459--468

The paper presents a new methodology dedicated to design for additive manufacturing. Based on a hybrid algorithm of topological optimization, the method enables application of advanced constraints and validates solutions “on the fly” using virtual prototyping. Advanced constraints consider the influence of directions of additive manufacturing as well as the equivalent stress. In the optimization framework, real material properties related to three manufacturing directions were considered. The new design methodology is illustrated by benchmark tests and examples of wrist-hand orthosis topology optimization in which stress and manufacturing constraints were taken into account. As demonstrated by the conducted comparison tests with available commercial tools, the solutions obtained with the new method were characterized by lower mass and shorter computation time.