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Josephine Voigt Carstensen. Ajayi, Oluwanifemi O.(Oluwanifemi Oluwadara) Massachusetts Institute of Technology. Department of Civil and Environmental Engineering. Massachusetts Institute of Technology. Department of Civil and Environmental Engineering 2019-12-13T18:52:24Z 2019-12-13T18:52:24Z 2019 2019 https://hdl.handle.net/1721.1/123215 1129457180 Thesis: M. Eng., Massachusetts Institute of Technology, Department of Civil and Environmental Engineering, 2019 Cataloged from PDF version of thesis. Includes bibliographical references (pages 32-33). Topology optimization is a field extending to the built environment. Traditionally, optimization focuses mainly on monolithic structures but recently, developments have been made toward determining algorithms for multi-material optimization. A preexisting algorithm is modified to broaden the type of design possible with the method. The algorithm uses a three-phase design problem, a void phase and two other materials, and implements Heaviside Projection Method (HPM) and Rational Approximation of Material Properties (RAMP) method and employs the Method of Moving Asymptotes (MMA) as the gradient based optimizer. Three distinct object projection shapes are proposed, a horizontal, a vertical and a diagonal. The horizontal shaped inclusion enables designs such as, longitudinal reinforced concrete beam design of variable length bars. The vertical shaped inclusion enables designs of columns. The diagonal shaped inclusion allows for design of rebar within more slanted sections of optimized topology. The proposed algorithm is tested on two examples, the cantilever beam and the MBB beam, showing that it works as expected. by Oluwanifemi O. Ajayi. M.Eng. M.Eng. Massachusetts Institute of Technology, Department of Civil and Environmental Engineering 33 pages eng Massachusetts Institute of Technology MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission. http://dspace.mit.edu/handle/1721.1/7582 Civil and Environmental Engineering. Topology optimization with manufacturable multi-material primitives Thesis application/pdf 2019-12-13T18:52:23Z Publication Master CivEng unknown unknown <Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="cc0a3612-d70a-4ab5-a5b9-8e5a4db31d5d"> <Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type> <Language>eng</Language> <Title>Topology optimization with manufacturable multi-material primitives</Title> <PublishedIn> <Publication> </Publication> </PublishedIn> <PublicationDate>2019</PublicationDate> <Authors> <Author> <DisplayName>Ajayi, Oluwanifemi O.(Oluwanifemi Oluwadara)</DisplayName> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> </Authors> <Editors> </Editors> <Publishers> <Publisher> <DisplayName>Massachusetts Institute of Technology</DisplayName> <OrgUnit /> </Publisher> </Publishers> <License>http://dspace.mit.edu/handle/1721.1/7582</License> <Keyword>Civil and Environmental Engineering.</Keyword> <Abstract>Topology optimization is a field extending to the built environment. Traditionally, optimization focuses mainly on monolithic structures but recently, developments have been made toward determining algorithms for multi-material optimization. A preexisting algorithm is modified to broaden the type of design possible with the method. The algorithm uses a three-phase design problem, a void phase and two other materials, and implements Heaviside Projection Method (HPM) and Rational Approximation of Material Properties (RAMP) method and employs the Method of Moving Asymptotes (MMA) as the gradient based optimizer. Three distinct object projection shapes are proposed, a horizontal, a vertical and a diagonal. The horizontal shaped inclusion enables designs such as, longitudinal reinforced concrete beam design of variable length bars. The vertical shaped inclusion enables designs of columns. The diagonal shaped inclusion allows for design of rebar within more slanted sections of optimized topology. The proposed algorithm is tested on two examples, the cantilever beam and the MBB beam, showing that it works as expected.</Abstract> <Access xmlns="http://purl.org/coar/access_right" > </Access> </Publication>