个人信息Personal Information
教授
博士生导师
硕士生导师
主要任职:软件学院(大连理工大学-立命馆大学国际信息与软件学院)党委书记
性别:女
毕业院校:吉林大学
学位:博士
所在单位:软件学院、国际信息与软件学院
学科:软件工程. 计算数学. 计算机应用技术
办公地点:大连理工大学开发区校区信息楼309室
联系方式:nalei@dlut.edu.cn
电子邮箱:nalei@dlut.edu.cn
TOPOLOGY OPTIMIZATION OF CONFORMAL STRUCTURES USING EXTENDED LEVEL SET METHODS AND CONFORMAL GEOMETRY THEORY
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论文类型:会议论文
发表时间:2018-01-01
收录刊物:CPCI-S
卷号:2B-2018
摘要:In this paper, we propose a new method to approach the problem of structural shape and topology optimization on manifold (or free-form surfaces). A manifold is conformally mapped onto a 2D rectangle domain, where the level set functions are defined. With conformal mapping, the corresponding covariant derivatives on a manifold can be represented by the Euclidean differential operators multiplied by a scalar. Therefore, the topology optimization problem on a free-form surface can be formulated as a 2D problem in the Euclidean space. To evolve the boundaries on a free-form surface, we propose a modified Hamilton-Jacobi equation and solve it on a 2D plane following the conformal geometry theory. In this way, we can fully utilize the conventional level-set-based computational framework Compared with other established approaches which need to project the Euclidean differential operators to the manifold, the computational difficulty of our method is highly reduced while all the advantages of conventional level set methods are well preserved. We hope the proposed computational framework can provide a timely solution to increasing applications involving innovative structural designs on free-form surfaces in different engineering fields.