摘要
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。
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.
作者
杨冠华
吴蕾
王清辉
池梓鹏
YANG Guanhua;WU Lei;WANG Qinghui;CHI Zipeng(School of Mechanical and Automotive Engineering,South China University of Technology,Guangzhou 510640,China;The 5th Electronics Research Institute,Ministry of Industry and Information,Guangzhou 511370,China)
出处
《浙江大学学报（理学版）》
CAS
CSCD
北大核心
2023年第6期795-802,共8页
Journal of Zhejiang University（Science Edition）
基金
国家自然科学基金资助项目(52175225)
广州市重点领域研发计划项目(202206070005).
关键词
TPMS微通道结构
多形态特征
共形映射
过渡区域
TPMS-based microchannel structure
multi-morphology
conformal mapping
transition area
