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Structural and Multidisciplinary Optimization

Erschienen in:

10.05.2021 | Industrial Application Paper

Minimum weight topology optimization subject to unsteady heat equation and space-time pointwise constraints—toward automatic optimal riser design in the shape casting process

verfasst von: Rouhollah Tavakoli

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 3/2021

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Abstract

The automatic optimal design of feeding system in the shape casting process is considered in the present work. In fact, the goal is to find the optimal position, size, shape, and topology of risers in the shape casting process. This problem is formulated as a minimum weight topology optimization problem subjected to a non-linear transient PDE and space-time state dependent pointwise constraints. An elegant bi-level reformulation of the optimization problem is introduced which makes it possible to manage the infinite number of design parameters and state constraints efficiently. The computational cost of this algorithm is independent of the number of constraints. The validity and efficiency of the presented method are supported by several examples, from simple benchmarks to complex industrial castings. According to numerical results, the presented approach makes a complete solution to the problem of automatic optimal riser design in the shape casting process.

Vorheriger Artikel Sensitivity analysis and optimization of a CO2 centrifugal compressor impeller with a vaneless diffuser

Nächster Artikel Crushing analysis and multiobjective crashworthiness optimization of combined shrinking circular tubes under impact loading

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Since riser(s) should be detached from the casting after the solidification, the connection area of riser to casting, called as the riser-neck, should be minimized to reduce the machining cost.

In practice, air-gap forms at the cast-mold interface due to the simultaneous contraction of the solidified skin and expansion of the mold walls.

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The casting yield is defined as the ratio of the casting weight (without feeding system) and the total weight of consumed metal.

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This differentiability issue is not well considered in the solidification modeling literature. It is worth mentioning that the integral formulation based on the enthalpy approach is used in some literature. However, this problem exists in this case too.

The machine precision for the double precision arithmetic is usually of order of 10^− 16

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Titel: Minimum weight topology optimization subject to unsteady heat equation and space-time pointwise constraints—toward automatic optimal riser design in the shape casting process
verfasst von: Rouhollah Tavakoli
Publikationsdatum: 10.05.2021
Verlag: Springer Berlin Heidelberg
Erschienen in: Structural and Multidisciplinary Optimization / Ausgabe 3/2021
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-021-02921-3

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