Novel implementation of extrusion constraint in topology optimization by Helmholtz-type anisotropic filter

Wang, Bo; Zhou, Yan; Tian, Kuo; Wang, Guangming

doi:10.1007/s00158-020-02597-1

Cited by 24 publications

(8 citation statements)

References 29 publications

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“…Manufacturing constraints (Schramm and Zhou, 2006;Liu and Ma, 2016;Wang et al, 2022) hold significant importance in topology optimization in industrial applications. Numerous methodologies have been developed, and commercially available software now incorporates manufacturing constraint functions for scenarios where the production technique is predetermined, such as extrusion (Zhou et al, 2002;Wang et al, 2020), casting (Lu and Chen, 2012), infill structure (Wu et al, 2018), stress direction (Kamada et al, 2021), and additive manufacturing (Gaynor et al, 2014;Zhang and Cheng, 2020). On the other hand, difficulties persist when adapting conventional manufacturing approaches, such as sheet metal fabrication, extrusion, and casting, to the abstract assembly-level geometry generated from the extensive design space yielded by topology optimization.…”

Section: Introductionmentioning

confidence: 99%

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Plate manufacturing constraint in topology optimization using anisotropic Helmholtz filter

Wada,

Shimada,

Nishiguchi

et al. 2023

Preprint

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The manufacturing constraint of topology optimization for finding structures composed primarily of plate cross sections with an automatically decided surface normal is discussed. The Helmholtz filter to the sensitivity of the objective function is designed such that the eigenvalue-resolved stress tensor is converted to the anisotropic filter tensor. Plate structure formation and stiffness compliance performance are discussed through three sample problems: a solid bar subjected to torsional loads, an L-shaped member subjected to multiple loads, and a vehicle body frame intended to be a complex frame.

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Section: Introductionmentioning

confidence: 99%

“…However, isotropic spatial averaging degrades parts resembling sheet metal fabricated into solid beams. Wang et al (2020) reported a method for realizing extrusion constraints by directing the polarity of an anisotropic Helmholtz filter in a specific direction.…”

Section: Introductionmentioning

confidence: 99%

Plate manufacturing constraint in topology optimization using anisotropic Helmholtz filter

Wada,

Shimada,

Nishiguchi

et al. 2023

Preprint

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show abstract

“…18 After years of research efforts, the geometry requirement constraints such as those mentioned above can be added to the topology optimization process to improve the manufacturability. 15,21 For the manufacturing cost constraint, several studies have been conducted to achieve the control of manufacturing cost: Martin Baumers estimated a set of specific cost indices to evaluate the cost of additive manufacturing in detail. 22 Azamirad and Arezoo designed stamping die by topology optimization which significantly reduce material volume and maximum displacement compared with the standard die.…”

Section: Introductionmentioning

confidence: 99%

Manufacturable casting parts design with topology optimization of structural assemblies

Zhang

Wang

Zhou

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part B:

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This paper presents a design method for manufacturable casting parts based on topology optimization of structural assemblies, which considers the geometry requirement and the manufacturing constraint of die-set material cost. The problem formulation follows the previous work presented in multi-component topology optimization for stamped sheet metal assemblies (MTO-S). Based on the vector method combined with Heaviside function, the moldability constraints for casting parts is formulated. As the base structure of component is easily misidentified as an undercut structure by the moldability constraints in the structural assemblies, the component baseline is proposed to realize the automatic filtering of the “fake” undercut structures which can be extended to the parting line to obtain the form of two-mold design. Several numerical examples on compliance minimization of single-mold and two-mold casting parts are conducted to verify the validity of the proposed method. The optimized results show that there is no interior void for each component and the component manufacturability has been improved obviously. The setting of minimum-area bounding box (MABB) area constraint limits and the number of components will have a significant effect on the performance of the optimized structure. Users can achieve the desirable solution based on their actual demand by making trade-offs between the structural performance and manufacturing cost.

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“…And then they [10] introduced two design and manufacturing constraints relevant to the optimal rib layout problem, including the minimum separation constraint between any two ribs and the constraint of hole independence. Wang et al [11] developed an implementation of the extrusion constraint based on the helmholtz-type anisotropic filter approach. These methods can effectively optimize the innovative stiffened topology design, but they are computationally expensive due to a large number of design variables.…”

Section: Introductionmentioning

confidence: 99%

Generative design of stiffened plates based on homogenization method

Wang

Aage

et al. 2021

Struct Multidisc Optim

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Novel implementation of extrusion constraint in topology optimization by Helmholtz-type anisotropic filter

Cited by 24 publications

References 29 publications

Plate manufacturing constraint in topology optimization using anisotropic Helmholtz filter

Plate manufacturing constraint in topology optimization using anisotropic Helmholtz filter

Manufacturable casting parts design with topology optimization of structural assemblies

Generative design of stiffened plates based on homogenization method

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