A performance index for topology and shape optimization of plate bending problems with displacement constraints

Article

Liang, Qing Quan, Xie, Yi Min and Steven, Grant P.. 2001. "A performance index for topology and shape optimization of plate bending problems with displacement constraints ." Structural and Multidisciplinary Optimization. 21 (5), pp. 393-399. https://doi.org/10.1007/PL00013281
Article Title

A performance index for topology and shape optimization of plate bending problems with displacement constraints

ERA Journal ID3820
Article CategoryArticle
AuthorsLiang, Qing Quan (Author), Xie, Yi Min (Author) and Steven, Grant P. (Author)
Journal TitleStructural and Multidisciplinary Optimization
Journal Citation21 (5), pp. 393-399
Number of Pages7
Year2001
PublisherSpringer
Place of PublicationGermany
ISSN1615-147X
1615-1488
Digital Object Identifier (DOI)https://doi.org/10.1007/PL00013281
Web Address (URL)http://www.springerlink.com/content/102504/
Abstract

[Abstract]: This paper presents a performance index for topology and shape optimization of plate bending problems with displacement constraints. The performance index is developed based on the scaling design approach. This performance index is used in the Performance-Based Optimization (PBO) method for plates in bending to keep track of the performance history when inefficient material is gradually removed from the design and to identify optimal topologies and shapes from the optimization process. Several examples are provided to illustrate the validity and effectiveness of the proposed performance index for topology and shape optimization of bending plates with single and multiple displacement constraints under various loading conditions. The topology optimization and shape optimization are undertaken for the same plate in bending, and the results are evaluated by using the performance index. The proposed performance index is also employed to compare the efficiency of topologies and shapes produced by different optimization methods. It is demonstrated that the performance index developed is an effective indicator of material efficiency for bending plates. From the manufacturing and efficient point of view, the shape optimization technique is recommended for the optimization of plates in bending.

Keywordsefficiency, performance-based optimization, performance index, plate, ranking, topology and shape optimization
ANZSRC Field of Research 2020400510. Structural engineering
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Byline AffiliationsVictoria University
Victoria University of Technology
Durham University, United Kingdom
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