Smyl, D. orcid.org/0000-0002-6730-5277 (2018) An inverse method for optimizing elastic properties considering multiple loading conditions and displacement criteria. Journal of Mechanical Design, 140 (11). 111411. ISSN 1050-0472
Abstract
Significant research effort has been devoted to topology optimization (TO) of two- and three-dimensional structural elements subject to various design and loading criteria. While the field of TO has been tremendously successful over the years, literature focusing on the optimization of spatially varying elastic material properties in structures subject to multiple loading states is scarce. In this article, we contribute to the state of the art in material optimization by proposing a numerical regime for optimizing the distribution of the elastic modulus in structural elements subject to multiple loading conditions and design displacement criteria. Such displacement criteria (target displacement fields prescribed by the designer) may result from factors related to structural codes, occupant comfort, proximity of adjacent structures, etc. In this work, we utilize an inverse problem based framework for optimizing the elastic modulus distribution considering N target displacements and imposed forces. This approach is formulated in a straight-forward manner such that it may be applied in a broad suite of design problems with unique geometries, loading conditions, and displacement criteria. To test the approach, a suite of optimization problems are solved to demonstrate solutions considering N = 2 for different geometries and boundary conditions.
Metadata
Item Type: | Article |
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Authors/Creators: | |
Copyright, Publisher and Additional Information: | © 2018 ASME. This is an author-produced version of a paper subsequently published in Journal of Mechanical Design. Uploaded in accordance with the publisher's self-archiving policy. Article available under the terms of the CC-BY licence (https://creativecommons.org/licenses/by/4.0/). |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Civil and Structural Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 13 Jun 2019 10:32 |
Last Modified: | 07 Sep 2019 01:10 |
Status: | Published |
Publisher: | American Society of Mechanical Engineers |
Refereed: | Yes |
Identification Number: | 10.1115/1.4040788 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:146264 |