Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates
We show how a theoretical framework developed for modeling nonuniform growth can model the shot peen forming process. Shot peen forming consists in bombarding a metal panel with multiple millimeter-sized shots that induce local bending of the panel. When applied to different areas of the panel, peen...
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ASME International
2024
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Online Access: | https://hdl.handle.net/1721.1/154912 |
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author | Sushitskii, Vladislav van Rees, Wim M. Levesque, Martin Gosselin, Frederick P. |
author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Sushitskii, Vladislav van Rees, Wim M. Levesque, Martin Gosselin, Frederick P. |
author_sort | Sushitskii, Vladislav |
collection | MIT |
description | We show how a theoretical framework developed for modeling nonuniform growth can model the shot peen forming process. Shot peen forming consists in bombarding a metal panel with multiple millimeter-sized shots that induce local bending of the panel. When applied to different areas of the panel, peen forming generates compound curvature profiles starting from a flat state. We present a theoretical approach and its practical realization for simulating peen forming numerically. To achieve this, we represent the panel undergoing peen forming as a bilayer plate, and we apply a geometry-based theory of non-Euclidean plates to describe its reconfiguration. Our programming code based on this approach solves two types of problems: it simulates the effect of a predefined treatment (the forward problem) and it finds the optimal treatment to achieve a predefined target shape (the inverse problem). Both problems admit using multiple peening regimes simultaneously. The algorithm was tested numerically on 200 randomly generated test cases. |
first_indexed | 2024-09-23T15:41:07Z |
format | Article |
id | mit-1721.1/154912 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2025-02-19T04:24:41Z |
publishDate | 2024 |
publisher | ASME International |
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spelling | mit-1721.1/1549122025-01-06T04:17:54Z Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates Sushitskii, Vladislav van Rees, Wim M. Levesque, Martin Gosselin, Frederick P. Massachusetts Institute of Technology. Department of Mechanical Engineering We show how a theoretical framework developed for modeling nonuniform growth can model the shot peen forming process. Shot peen forming consists in bombarding a metal panel with multiple millimeter-sized shots that induce local bending of the panel. When applied to different areas of the panel, peen forming generates compound curvature profiles starting from a flat state. We present a theoretical approach and its practical realization for simulating peen forming numerically. To achieve this, we represent the panel undergoing peen forming as a bilayer plate, and we apply a geometry-based theory of non-Euclidean plates to describe its reconfiguration. Our programming code based on this approach solves two types of problems: it simulates the effect of a predefined treatment (the forward problem) and it finds the optimal treatment to achieve a predefined target shape (the inverse problem). Both problems admit using multiple peening regimes simultaneously. The algorithm was tested numerically on 200 randomly generated test cases. 2024-05-10T16:10:13Z 2024-05-10T16:10:13Z 2022-12-02 2024-05-10T16:06:39Z Article http://purl.org/eprint/type/JournalArticle 1087-1357 1528-8935 https://hdl.handle.net/1721.1/154912 Sushitskii, V., van Rees, W. M., Levesque, M., and Gosselin, F. P. (December 2, 2022). "Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates." ASME. J. Manuf. Sci. Eng. March 2023; 145(3): 031006. en 10.1115/1.4056072 Journal of Manufacturing Science and Engineering Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf ASME International ASME International |
spellingShingle | Sushitskii, Vladislav van Rees, Wim M. Levesque, Martin Gosselin, Frederick P. Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates |
title | Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates |
title_full | Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates |
title_fullStr | Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates |
title_full_unstemmed | Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates |
title_short | Determination of Optimal Shot Peen Forming Patterns Using the Theory of Non-Euclidean Plates |
title_sort | determination of optimal shot peen forming patterns using the theory of non euclidean plates |
url | https://hdl.handle.net/1721.1/154912 |
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