Multi-morphological design of TPMS-based microchannels with freeform boundary constraints

doi:10.3785/j.issn.1008-9497.2023.06.014

Journal of Zhejiang University (Science Edition)

2023, Vol. 50

Issue (6): 795-802 DOI: 10.3785/j.issn.1008-9497.2023.06.014

CSIAM-GDC 2023

Multi-morphological design of TPMS-based microchannels with freeform boundary constraints

Guanhua YANG¹,Lei WU²,Qinghui WANG¹(

),Zipeng CHI¹

^1.School of Mechanical and Automotive Engineering，South China University of Technology，Guangzhou 510640，China
^2.The 5th Electronics Research Institute，Ministry of Industry and Information，Guangzhou 511370，China

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Abstract

A multi-morphology design method based on conformal mapping is proposed to design triply periodic minimal surface (TPMS) microchannels with freeform boundary constraints. This method first maps the boundary of a freeform surface to a plane, allowing for channel topology design in the 2D parametric domain; Then, a Beta growth function algorithm based on loop is proposed to achieve smooth transitions of various TPMS morphological features; Finally, by mapping the designed microchannels to the 3D space constrained by the free surface, the microchannels meet the design requirements. Our results show that the microchannels constructed by this method have good adaptability to complex surface boundaries and can achieve the design goals of internal morphological features.

Key words： TPMS-based microchannel structure multi-morphology conformal mapping transition area

Received: 21 June 2023 Published: 30 November 2023

CLC:

TP 391

Corresponding Authors: Qinghui WANG E-mail: wqh@scut.edu.cn

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	Guanhua YANG
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Cite this article:

Guanhua YANG,Lei WU,Qinghui WANG,Zipeng CHI. Multi-morphological design of TPMS-based microchannels with freeform boundary constraints. Journal of Zhejiang University (Science Edition), 2023, 50(6): 795-802.

URL:

https://www.zjujournals.com/sci/EN/Y2023/V50/I6/795

复杂外形约束下的多形态特征TPMS微通道设计方法

对复杂外形约束下的三周期极小曲面（triply periodic minimal surface，TPMS）微通道结构，提出一种基于共形映射的多形态特征设计方法。首先，将自由曲面边界映射至平面，在二维参数域上进行通道拓扑结构设计；然后，提出一种基于环的Beta生长算法，实现多种TPMS形态特征的平滑过渡；最后，将在二维参数域上设计的微通道结构逆映射至自由曲面约束下的三维空间，完成设计。实例分析表明，采用本文方法设计的微通道结构对复杂曲面边界具有较好的适应能力，能实现内部形态特征设计目标。

关键词： TPMS微通道结构, 多形态特征, 共形映射, 过渡区域

Fig.1 Schematic diagram of ring-based transition region generation

Fig.2 Process and schematic diagram of solving the offset distance in the transition region

Fig. 3 Four basic types of TPMS-based structures

Fig. 4 Multi-morphological TPMS-based structures with a star-shaped transition region

Fig. 5 Generation process of conformal TPMS-based microchannels

Fig. 6 Relationship between points on the 2D parameter field and points on the original surface

Fig. 7 Self-designed multi-morphological TPMS-based structures

Fig. 8 Multi-morphological TPMS-based microchannels conformal to complex surface

Fig. 9 Multi-morphological TPMS-based microchannels for gas turbine blades


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