The Geometric Role of Precisely Engineered Imperfections on the Critical Buckling Load of Spherical Elastic Shells
We study the effect of a dimplelike geometric imperfection on the critical buckling load of spherical elastic shells under pressure loading. This investigation combines precision experiments, finite element modeling, and numerical solutions of a reduced shell theory, all of which are found to be in...
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ASME International
2017
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Online Access: | http://hdl.handle.net/1721.1/110694 https://orcid.org/0000-0002-5658-774X https://orcid.org/0000-0001-8569-5400 https://orcid.org/0000-0002-8682-9535 https://orcid.org/0000-0003-3984-828X |
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author | Hutchinson, John W. Lee, Anna Lopez Jimenez, Francisco Marthelot, Joel Reis, Pedro Miguel |
author2 | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering |
author_facet | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Hutchinson, John W. Lee, Anna Lopez Jimenez, Francisco Marthelot, Joel Reis, Pedro Miguel |
author_sort | Hutchinson, John W. |
collection | MIT |
description | We study the effect of a dimplelike geometric imperfection on the critical buckling load of spherical elastic shells under pressure loading. This investigation combines precision experiments, finite element modeling, and numerical solutions of a reduced shell theory, all of which are found to be in excellent quantitative agreement. In the experiments, the geometry and magnitude of the defect can be designed and precisely fabricated through a customizable rapid prototyping technique. Our primary focus is on predictively describing the imperfection sensitivity of the shell to provide a quantitative relation between its knockdown factor and the amplitude of the defect. In addition, we find that the buckling pressure becomes independent of the amplitude of the defect beyond a critical value. The level and onset of this plateau are quantified systematically and found to be affected by a single geometric parameter that depends on both the radius-to-thickness ratio of the shell and the angular width of the defect. To the best of our knowledge, this is the first time that experimental results on the knockdown factors of imperfect spherical shells have been accurately predicted, through both finite element modeling and shell theory solutions. |
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format | Article |
id | mit-1721.1/110694 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T10:46:14Z |
publishDate | 2017 |
publisher | ASME International |
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spelling | mit-1721.1/1106942022-09-27T14:53:07Z The Geometric Role of Precisely Engineered Imperfections on the Critical Buckling Load of Spherical Elastic Shells Hutchinson, John W. Lee, Anna Lopez Jimenez, Francisco Marthelot, Joel Reis, Pedro Miguel Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Massachusetts Institute of Technology. Department of Mechanical Engineering Lee, Anna Lopez Jimenez, Francisco Marthelot, Joel Reis, Pedro Miguel We study the effect of a dimplelike geometric imperfection on the critical buckling load of spherical elastic shells under pressure loading. This investigation combines precision experiments, finite element modeling, and numerical solutions of a reduced shell theory, all of which are found to be in excellent quantitative agreement. In the experiments, the geometry and magnitude of the defect can be designed and precisely fabricated through a customizable rapid prototyping technique. Our primary focus is on predictively describing the imperfection sensitivity of the shell to provide a quantitative relation between its knockdown factor and the amplitude of the defect. In addition, we find that the buckling pressure becomes independent of the amplitude of the defect beyond a critical value. The level and onset of this plateau are quantified systematically and found to be affected by a single geometric parameter that depends on both the radius-to-thickness ratio of the shell and the angular width of the defect. To the best of our knowledge, this is the first time that experimental results on the knockdown factors of imperfect spherical shells have been accurately predicted, through both finite element modeling and shell theory solutions. National Science Foundation (U.S.) (CMMI-1351449) 2017-07-12T19:53:09Z 2017-07-12T19:53:09Z 2016-09 2016-08 Article http://purl.org/eprint/type/JournalArticle 0021-8936 http://hdl.handle.net/1721.1/110694 Lee, Anna; López Jiménez, Francisco; Marthelot, Joel et al. “The Geometric Role of Precisely Engineered Imperfections on the Critical Buckling Load of Spherical Elastic Shells.” Journal of Applied Mechanics 83, 11 (November 2016): 111005 © ASME International https://orcid.org/0000-0002-5658-774X https://orcid.org/0000-0001-8569-5400 https://orcid.org/0000-0002-8682-9535 https://orcid.org/0000-0003-3984-828X en_US http://dx.doi.org/10.1115/1.4034431 Journal of Applied Mechanics 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 American Society of Mechanical Engineers (ASME) |
spellingShingle | Hutchinson, John W. Lee, Anna Lopez Jimenez, Francisco Marthelot, Joel Reis, Pedro Miguel The Geometric Role of Precisely Engineered Imperfections on the Critical Buckling Load of Spherical Elastic Shells |
title | The Geometric Role of Precisely Engineered Imperfections on the Critical Buckling Load of Spherical Elastic Shells |
title_full | The Geometric Role of Precisely Engineered Imperfections on the Critical Buckling Load of Spherical Elastic Shells |
title_fullStr | The Geometric Role of Precisely Engineered Imperfections on the Critical Buckling Load of Spherical Elastic Shells |
title_full_unstemmed | The Geometric Role of Precisely Engineered Imperfections on the Critical Buckling Load of Spherical Elastic Shells |
title_short | The Geometric Role of Precisely Engineered Imperfections on the Critical Buckling Load of Spherical Elastic Shells |
title_sort | geometric role of precisely engineered imperfections on the critical buckling load of spherical elastic shells |
url | http://hdl.handle.net/1721.1/110694 https://orcid.org/0000-0002-5658-774X https://orcid.org/0000-0001-8569-5400 https://orcid.org/0000-0002-8682-9535 https://orcid.org/0000-0003-3984-828X |
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