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An Efficient Topology Description Function Method Based on Modified Sigmoid Function
Joint Authors
Yang, Yin
Yang, Xingfa
Liu, Jie
Qing, Qixiang
Wen, Guilin
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Optimal geometries extracted from traditional element-based topology optimization outcomes usually have zigzag boundaries, leading to being difficult to fabricate.
In this study, a fairly accurate and efficient topology description function method (TDFM) for topology optimization of linear elastic structures is developed.
By employing the modified sigmoid function, a simple yet efficient strategy is presented to tackle the computational difficulties because of the nonsmoothness of Heaviside function in topology optimization problem.
The optimization problem is to minimize the structural compliance, with highest stiffness, while satisfying the volume constraint.
The design problem is solved by a Sequential Linear Programming method.
Convergent, crisp, and smooth final layouts are obtained, which can be fabricated without postprocessing, demonstrated by a series of numerical examples.
Further, the proposed method has a rather higher accuracy and efficiency compared with traditional TDFM, when the classical topology optimization methods, such as bidirectional evolutionary structural optimization (BESO) and solid isotropic material with penalization (SIMP) method, are taken as benchmark.
American Psychological Association (APA)
Yang, Xingfa& Liu, Jie& Yang, Yin& Qing, Qixiang& Wen, Guilin. 2018. An Efficient Topology Description Function Method Based on Modified Sigmoid Function. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1206961
Modern Language Association (MLA)
Yang, Xingfa…[et al.]. An Efficient Topology Description Function Method Based on Modified Sigmoid Function. Mathematical Problems in Engineering No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1206961
American Medical Association (AMA)
Yang, Xingfa& Liu, Jie& Yang, Yin& Qing, Qixiang& Wen, Guilin. An Efficient Topology Description Function Method Based on Modified Sigmoid Function. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1206961
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1206961