Nodal cosine sine material interpolation in multi objective topology optimization with the global criteria method for linear elasto static, heat transfer, potential flow and binary cross entropy sharpening

Denk M, Rother K, Zinßer M, Petroll C, Paetzold K (2021)

Publication Language: English

Publication Type: Conference contribution, Conference Contribution

Publication year: 2021

Publisher: Cambridge University Press

Book Volume: 1

Pages Range: 2247-2256

Conference Proceedings Title: Proceedings of the Design Society

Event location: Gothenburg SE

DOI: 10.1017/pds.2021.486

Open Access Link: https://doi.org/10.1017/pds.2021.486

Abstract

Topology optimization is typically used for suitable design suggestions for objectives like mean compliance, mean temperature, or model analysis. Some modern modeling technics in topology optimization require a nodal based material interpolation. Therefore this article is referred to a continuous material interpolation in topology optimization. To cover a smooth and differentiable density field, we address trigonometric shape functions which are infinitely differentiable. Furthermore, we extend a so-known global criteria method with a sharpening function based on binary cross-entropy, so that sharper solutions results. The proposed material interpolation is applied to different applications such as heat transfer, elasto static, and potential flow. Furthermore, these different objectives are together optimized using a multi-objective criterion.

Authors with CRIS profile

Martin Denk

Involved external institutions

Universität der Bundeswehr München DE Germany (DE) Hochschule für angewandte Wissenschaften München DE Germany (DE)

How to cite

APA:

Denk, M., Rother, K., Zinßer, M., Petroll, C., & Paetzold, K. (2021). Nodal cosine sine material interpolation in multi objective topology optimization with the global criteria method for linear elasto static, heat transfer, potential flow and binary cross entropy sharpening. In Proceedings of the Design Society (pp. 2247-2256). Gothenburg, SE: Cambridge University Press.

MLA:

Denk, Martin, et al. "Nodal cosine sine material interpolation in multi objective topology optimization with the global criteria method for linear elasto static, heat transfer, potential flow and binary cross entropy sharpening." Proceedings of the 23rd International Conference on Engineering Design, ICED 2021, Gothenburg Cambridge University Press, 2021. 2247-2256.

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